Physics-
General
Easy
Question
The work done by a force acting on a body is as shown in the graph. The total work done in covering an initial distance of
is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASwAAADZCAYAAACaVQ1rAAAgAElEQVR4nOy9d3gd13nn/zkzczt6I0CwgqQokRBBUl20TUkUKdFUsSyreJXYjhLb6xLb+2SdON4niTdbnMebZOVfosS2EluxJIsbdSmiTFmNFiVSpMXeCTaABURvt039/XHvDOZeXIAA0cn52BDAW6ae8533vOd93yMsy7Lw8PDwmAJIE30AHh4eHkPFEywPD48pgydYHh4eUwYl+4Vsl5YQIuN1+98eHh4e400/wfIYXS40p+E9AKY+3sN8/PAEaxwwTbPfa5ZlIYRAluUJOCIPj6mJ58MaYyzLcp7AmqZhGIbzWi4h85ga2PfPiwoaXzzBGic0TePQoUO0tbUhhEAIgSR5l/9SwL6fHmOP12PGELdvo729nb/7u7/jww8/xDRNJEnyBGuK456Q8iyt8cHzYY0h7qduIBBw/m0/kW0/lsfUw7tvE4P3iPfw8JgyeII1jrifyt4QwsNj+HiCNQ5YluX4rOyhoIeHx/DxBGscEEKg6zqapnli5eExAjzBGkPs2SPLslAUBZ/P5zlrPTxGgCdYY4h72runp4eenh4Mw+jny/KmxT08hoYnWONENBolFosNKExe5LuHx4XxBGuMsa0pwzD6CZItXl6ah4fH0PAEa5wYLLLdDiT1/FseHoPjRbqPE6ZpDmpFeWk6kwO3P9F7iEw+PMEaQ7IrNWia5rznTtPxmBy4q2iYpoksy07snMfkwHusjyNew586eP7EyYlnYY0T2UM+t8PdE7LJhX2vvCHh5MMTrHEiEAgQDAa9GvmTGPe98CrBTk68IeE4YftCsgXKE6zJRXYJII/JhWdhjSHuBm8YhlMe2WNy4wnV5MWzsMYQ9yxhMBgkFApl+LK8lBwPj+HhWVjjRHd3N93d3RiGAXhPcQ+Pi8ETrDHE7WBPJBLE4/F+znZPuDw8ho43JBwHhBCEw2EikUiGQHli5eExPDzBGgdswQqHw14KjofHCPB6zxjidqrbdbCyne4eHh5DxxOscUKWZQKBQEZAojck9PAYHp7TPc1oWjvZDnXTNEkmVbq6ulBVNWN/nmh5eAwdT7Bc2EM490Kn2bl+9go49t/u122cDH+L1A8gCZA8cfLwGBGeYOWgu7ub48ePc+TIEQzDoKKigtraWsrLy5EkCcMwOH/+PHv27KGzs5PKykpqa2spLS0d2FKz+ltxng/Lw2N4eILlQghBT08PW7Zs4dlnn+Xw4cMYhkF+fj5/8Ad/wLp16ygsLKSlpYWnn36aX//618RiMaqqqrj//vu59957iUQiQG4xcttXnlh5THYmYyURT7DSCCEwTZO9e/fy5JNPcu7cOb7xjW8A8Nprr/Hqq69SXV3Ntddey3vvvceTTz7JfffdxxVXXMGePXv4yU9+wvTp0/nUpz6VuViqa1Uc01VSxmYyNgqP4WHluK/ZZN/jgT6ba3Vwt4siexvZ1T/c28h+ze3mGApu90eu93Id+1i3ZU+w0liWhaqq7Nq1C0mS+Pa3v80999wDwPTp0/k//+f/sGXLFubMmcOzzz5LXV0df/RHf8TMmTOZPXs2+/bt49133+Wmm27K8HFZZvrGij4Lyw5v8KysSwMhhLPISHanHUxQ3CJ0IXdBdulm+zV7n+73bCEbyMc6HC70vfGePPIEy4WiKHzmM59h1apVVFZW4vP5sCzLiaGSZRnTNInFYqxatYrCwkJ8Ph+zZ8/mxhtv5NixY0SjUfx+f9+y9KS+7/f78aVft1fP8UqYXFq4SwhlT95ApkU0WGqWu13ken8wkRhOexotsRnPB68nWC6EEEybNo3KykpHWM6ePctLL73EtGnTWLFiBZqmYZomM2bMwOfzARCJRKicNo3fbf8d0ViM4uJiAE6cOMGbb75JY2MjkgUnTpzklVdeYc+ePSiKwg033MBtt93mbMdjaiOEoK2tjUOHDnHu3DkKCgoIBoOoqkosFgNSoibLMoZhoKoqPp/P+TekAoyDoSCyJOP3+/D7A2nrysSywLQsTMPAtEyEkLDSFpYsy8iSTMDvJxwOk0wmUusI6BqSLCPLCrquEw6HURTFWSfTNE0K8wvx+f34fQpCCFQ1iaqp+AMBJEkiFouj6zoAPp8PRUltK5lMoigK06ZNo7q6mmAwOObX2BOsLOzluFRVpaGhgWeeeYZTp07xhS98gdraWs6ePZu6WYmkE7KgyDJ+vz9V78o07ZdRVZWTJ09y5PARSgoLMXSNnu4ezpw5g67rLFy4cMLO02P0MU2TXbt28cILLxCPxykqKsLv96PrOolEAuizwkzTRNd1FEVxHo72EC8QSFniiuJzrHxI+UAti/Rn00NB03JcDJKQ8Pt9BIMhVDWJrusYho6QJGRZwTB0AoEgsiyTSCRIJBKYpkleJA9F8aEoMkKArqcWTPH5/QghSCSSjqAqipIhuLIsc/XVV7N27VpPsCaKeDzOiRMnePrpp9m8eTO///u/zy233EJRURHnzp3DNAza29vRjdRTxzBNdE1PiZVpItIm8ozqar785S/T0d5OIhanqbmZO++8g5W33IJpmpSVlXmleC8RJEmitbWVnTt3EgwGufvuuwkEAhc1qTLSIZbzfSFcM9MWIAYdBjrvYeH8lX4twy+bdsbbBSkrKipQlPGREk+wXEiShKZpHDlyhH/5l39h586dfOtb32L16tUUFRUhhCAQCKAoCh0dHRh66qnT29PD2bNnKS0tJRyJQDpoNBLJo2ZuBGvuXBpPNeAPBCgrL+eKK67wnO6XGKZpsnPnThobG1m3bh1r1qzJcI4PVbSy28SwfFL0TezYVllqskek3xMDHIsAUtZbqula4Ahb/1nCwYKqvVnCcebcuXOsX7+ePXv28KMf/Yi6ujoURUHTNGRZxufzUVJayoED++nt7aG4pJjGxtPs2bOHT3zykxQVFSHLct+sjgWmZdLV1UVvb4/zVLLNf8/CmnrkmsFLJpO8/fbbFBYWMn/+/IzJleE4t1OzfuCO2nMLXy5RcAQkLUwpybFApKx9C4GdNpwz/AHAEljY7gwz9bdlIaOkfGVZs5C5wiPGYwLJEywXiUSC119/nVdeeYVoNMqPf/xjkskklmURDAZZt24dd999N48++ih/+Zd/wd/8zd9QWlrKocOHURSFe++9B0VWEOkYBjs9xzRMksmEsy0bb5HOqYntg3LP/tXX19PQ0MB9991HVVUVgGNFD2c2ONcDzPlu2oRKzx/2fcByi4X9rkh/2LatMhfXyBRR27RK/026XQoQZLbRofw9lniClca+4KFQiGuvvZZkMkkwGHRm8ILBIMFgkEgkwooVK/j6177Ojp07aWltpaamhjvuuINZs2c7DcAWK4usYV/Wk8pj6pNIJHjttdeorq5m0aJFhEIh573hdmS316n/ewO/b1nu94Tjg3KrnPtQ+o4rPXS00p+2MoXP+TVJVnvyBMuFz+djzZo1XH/99c6siI2iKJSUlODz+SgsLOT++z/Hik98AlVVyc/Pp6KiAp/iSwtS/5vp8wfw+/0Ir4DfJYMQAk3TOHnyJB999BFf+tKXqK6uBkbZnzOE55pI7ZT+bc+2lAb5rmXvxGXJXehLE4QnWGksy0KWZaqrq51GN9DnAIqLiyguKc583SJVliHrRgshCAZD5OUXIsuZl9xLzZl6uC3j3t5ePvjgAyKRCIsXLyYvL2/s7qltMA34vmuIluu7g27Y9dckbo+eYKUZagMb6HP2mD/zRfcfAsu82KPzmEzYbUDXdc6dO8eGDRu46667qKiocCZcLn7jF/3m6GxzwDY8OfAEa8xJ3XFVTRKLR/sNNT2mJkII4vE4hw8fprm5mWXLlhEKhcbeLzkWAjLJRGkwJkywck0NG4aBLMuD5lFNJax0DSwBhMIhCguKU34ujylHrgobzc3NHDp0iPvuu4+FCxc6wZNTvd1OZibcA2wLVXt7Ozt27EDX9Ywp46lNOl4FC103UNUEppmysLxVn6ceduwcQDQaZe/evZw4cYK1a9cSDoeRZTkjAdpj9JlwwQKcCp6//e1vnZyrS4dUBLGhGySTCUwrM5jQY+rgvmfNzc387ne/o6SkhJqamgyh8sRq7JhQwbIbgKZpnDp1ig8//JD29nbHz3MpdOpUAwafT0HJqspwKZzf5YZd++rAgQNEo9FxS/r1SDFhgmVHC0PKvD527Bh79+7l+PHjTimLqU861E8IZEVGlqUM/5z3JJ6adHZ28tFHH1FZWcmyZcu8IOBxZMIEy874FkLQ2trKtm3baG5u5vTp02iaNlGHNcr0LZsTiUQIh8NOMqk3fJh62NU9t2/fTnNzMwsWLKCwsHCiD+uyYkItLLs6wsmTJ/n4448xTZMXX3yRc+fOXRIBle68re7uLnp6uh2nu/2+x9TALpKXSCR4//33mTFjBsuXL89wxHuMPRMiWO6k0TNnzvDWW2/R0tJCRUUFH3/8MUeOHHEqNE7l2TR3Y/b7/SiK4onUFMJdlcCezd6xYwf79+9n3rx5VFRUAJfWgyf7nO0Z+8nSB8ddsNwn39rayhtvvMHmzZsxDANd1+np6eHFF1+kvr4eVVUHLGUxVbCtrGAwSCgUuqQa9+WAu8PGYjFefvllqqurWbx4sXM/L7WqG+5zdve9ydAHJ9SHtXv3bt59912Kior45Cc/ia7rLFu2jOPHj7N582ba29udz05F3D6qeDzulKSFqW05Xi643RKapnHmzBm2bNnCTTfdxKxZsy7ZUAZ7QiyRSOQM8J5IxjXS3d1JDcMgkUjwwAMPMHfuXDo7O/mXf/kX/vRP/5Smpiba2to4f/485eXlDCldfRLifkJ1d3fT09PTrxCax9Sgt7eXt956i9LSUq6//nry8/MvCT+rG3fb1HWdrq4upy79ZDnPcRUs90nLsszq1auRZZlkMslHH32ELMvMnVtDXV0dmqYhSakYJqfI2FRKenJhz4i662LbM04ekxt7eNTc3Mybb77JXXfdRXl5+YALjF4q+P1+Z82BydROxz2X0H3yPp/PMad13UBP10iXJIlAIJAWKwCTqSpWkBKo3t5eYrFYvwqUl9pT+lLBvdhCR0cH27dvp7S0lE9/+tNEIpFL8r5lVxCdjEPdCX1MuC+GosgZs2p2hPilgB0dbddzt1/zmLzYznTLsmhoaGDr1q3ccsstlJeXj7yEzBRhMrbRSVFexlZy0zT7lnafBH6rXAX7c73nJtdNFkKQl5dHJBLJsKymMpeD8AohiMVi7N27l+bmZq699lp8Pt9lPZwfrE+MBxNaXsY2q+0YF0mSENLkaAi5/ExusXEHC2YvdWT7N9yvB4PBfs7LyT6syF6lZTDRnsznMRJOnjzJrl27uOKKK5zVcC7XigzZYQ4TEc4x4UNC+yd18hK51kGbCNzBgrlCELKD67JjV2zsGxqLxYjH41PGshrqcbqHuZcamqaxdetWzpw5w8qVKwmFQhmCdblht21d19F1fULu+6QYEoId+2FkpK5MJHaDrK+vp7y8nKKiIsdyMk2T3t5eJ+dR0zQsy6KgoCBj2OfelizLGZHuU6HB20LsnuHMfl9VVcdynArnNBzOnj3L9u3bqamp4eabb57ow5lQ3C6AiSxUOO6ClStq1lbuvLw8gsFA+jV3OIPEWM8Suoc/dvnbXTt38cO/+SG3r7qdBx98gKqqKjRdp6GhgT/5kz8hFos5Po1IJMK9997Lgw8+SCAQ6Lddn89HWVmZU4pkKlgltuU7kEUhSRJ+v39YFkeu854UQmfZ9yo91BeCvXv2AHDzzTcTDocn/RB+IIbS1oZzXhP5cJoUFpadkiNJudIcstZJG0NscWlqauKdt9/h2WefZdfuXdx2623pGSPQNZ3WllZaWlq44447mD17NpZl4ff7WbJkScZCmO4hYk9PD+fOnSOZTDrvTebG707cHmgiYbJOfY8E07QQArq7utiwYQMzZ86krq7ukjnH0Wh3E3ktJizSPft1e9o/k/G/MPF4nO3bt/PSSy9RUlJCaWkphYWFTgBdIplg3759zKiewapVq5g2bRqBQID8/HwikUjG0Mk9/MtO45gqHf1CxzgVzmE4CCEwTIOtW7bQ0NDAnWvXOknOUxnb1+pejdr2u+ZabXow7O9NhC9vQoaE2ScpSRLhcDing3s8L4gkSei6jizL3HHnHdxw/Q381Q/+ivb2dlRVBQHxWJzfbd9OR2cHmzZtIpFIUFlZyS233MLcuXOdBgGQTCbp6ekhkUigKArV1dVomsa5c+fw+XyUlJQ4/oDLBdtqm8xhEbFYjNdf38D0qunMnTuXQCAwJYbwg+Ge9XbfA9M0hyRY7hnyicyDHffe4rZA3CevqmqGU3qihkz5+fmsXbsWSZKIxWJIQqCqSWdWRNVUTp46SX19PU1NTei6jt/vZ8uWLXznO9+htrbWWYygqamJ119/nebmZoqLi51SOgcOHKCsrIyHH36YioqKSdlpx5rJOPlg59AdP3aMffv38V//639lzuzZzntTlVwVJeyJoOGmGNnbsv8ebyYslxAGdwaOt7lp78t+2limRTKZRDcMKiqmEQyFgFQ81fJrrmHlLbdw1113UVhYyJYtW/jJT37Cs88+y1/91V8RDocxTZOOjg6OHz/OsWPHAGhvb8eyLFpbW6murqaxsZGysrJLPi8tm8na+S0sunu6ee+9TVRXTWfhwoU5Z32nIgO5IIbrbB/ud0abCR+PWJaFoigUFhZOqmGChYVpGJiGiWGkY04si+KiYr71rW8RCAQIhULIssx1113H0aNH+eCDD2hrayMYDCKE4Morr+T73/8+8XicU6dO8c///M/ce++9rFixAp/PR15e3mUnVpMWAYamc+b0ad54/XW+/NWvMG3aNKRh+nc8xpYJ7y22OGWvRTjR9aJSJrMCAqLRWHphDEF3dxdvvvkmzc3NACiKgs/nw+/3Z+RBSpIgEPBTUlJCVVUVRUXFdHV1IUkS06ZNo7S0NJ3gPfHifDnjDvptaW1ly5atlJSWcNNNNxGORCZDhpiHiwkt4JfrtcmyiKplWZiWia7rdHZ1poJEBcTicTZs2MATTzzB6dOnaW1tZdeuXWzZsoWrr746HWDqLovTd66m2f/8PMGaWNzO51OnTrFl6xZWr1lDeUVFagLFU6xJxYQPCaEvrCGZTE6qFXM0TetXhz0YDFJTU8Pbb79NVVUVxcXFbNq0CdM0WbduXTq0wQ54TQXApralpmN8Jt4P4JGJEIKenh4OHjyIpmncvnr1ZTd7O1WYFHfFLsdql2GBiV+3TwhBQUEBq1evZu7cuY4jvbi4mG984xtEIhH27t1LW1sb1dXVPPTQQ6xYsQJZlsgeR6RmQTVisegltObipYHdxhoaGti9ezfLli2jqqpqgo/KYyAmhWAFg0GWLVvmBGlOFusjHA7zzW9+M6NSqM/no6qqij/7sz8jFovR29tLMBh0jtuyDDIDXlPi5ff7nYKFHpMDd7nu3bt3oygKd911F4FAICNmyWPyMGGC5W4MQggqKyspKyubNJ3aPoaBhgayLLsWR3XHpvS3sFJCNjl8cx592Pf42LFjbNmyhVmzZjFr1iwAb/Z2kjIpLCw7iG24KQITzVAbtWWBphlph7v79cmdT3g5YBgG77//PolEgrq6OsLh8EQfkscgXFCw3FP12QXdcqVYZEfTDmRVDFYY7kLHkQv3vrL3mR09P7Yi0b+0DFioaoJEIulZWSNgoPt6sdsxTZOzZ8/yzjvvsHTpUpYsWeJZVpOcQQXLnTrjzpHLfs+dn2STna/kFgq3sOSqHTXQsbh/u/fh/o47NCI7b8oOUh1bsqP5U781TcMwNCzr0iivm90WbMZ6FnSkVqndPgBUVeWjjz6it7eXJUuWpJeU85jMXFCwoL+lZFdWyLa+ILUSjpPe4hI0O3QBUv4fO8l4uE80t/hkl3Jx78ddbA9wBHd8hmH9LdBc+56qwpV9X+08y7Ec1o9mILG9rc7OTtavX88NN9zA1Vdf7YUyTAEueIcMw3B8THYHO3/+PEePHqW3t9cRIVskFi5cSE1NDT6fz7HMIJVH19DQQCAQYN68eezfv5+5c+dSUFAwoGhlDxvtf3d1ddHS0sKMGTMcn4P9OVVVOXr0KLNmzSIcDnPu3DlM06S6unrcG6Tbosy1iu5UJVe1DffvXFbvQN8djOzrlS36F5Nvan8/mUxy+PBhmpubWblyJWVlZZMqNcwjN4P24Ow6TqZpYhgGjz/+OK+99hrxeDxjySNZlvnKV77Co48+6sz22RbOli1bePHFF7n11lvx+Xx897vf5Qtf+AL33HMPBQUFGbV67H3nKkWiqiqbN2/mySef5Oabb+arX/0qeXl5jmV19OhRfvCDH/DFL36RlStXsnfvXrZt28aaNWu4+eabJ6QxCiHw+/0Zlqf791TsIO4HiP0wy3U+Iy0lk/3Qyp5dvlg6Ojp47rnnWLZsGXPnznUesFPxXlxOXFCw3J3MfjLt2bOHsrIy7r77bqZPn+58XpIkFi1alFEiWAhBU1MTv/71r5Flmeuvv56ioiIefvhh6urqCAaDGaI4UD6h+6lqmiaHDh3i0KFDzJkzhzVr1pCfn49hGHR0dNDc3ExeXh4+n485c+bw5ptv8tJLL7F06VIikcjoXb1hUFhYSGVlJaF01YfxmQAYW4bqfxwJuQRrJAiRKn+9b98+9u7dyw9+8AOKi4sHnSDymDxccIyUPfvW0tJCMplk6dKl3HfffRmCBSlByfZjHDp0iPb2dlauXMmsWbPQNI2KigoikYhTyaCzsxMhhDOEmzlzJvPnz6egoMA5DndjtS27Z555hiuuuIIrr7wy4wlsi+CsWbOoq6vj+eefZ//+/VxzzTUT5quYLHmSlzvNzc18+OGHzJw5k8WLFxMMBr37MkUYcs+102bq6+tJJpNcddVVSJJEV1eX85lgMOgssmB/J5lM8uabb5KXl8d1112Hz+ejra2Nxx9/nC998Yssv+Ya/v3f/51du3ZRWFjIqVOnSCQS1NTU8MUvfpFbb701QzRN0yQej1NRUcGaNWt4+eWX2bhxI8XFxVRUVDilXXp7ezFNk/z8fBYsWIAQgs2bN1NXV+cI6mhZBNmTEwIBwj1BANHeKB0dHRm5kt4QZHzIdikcPXqUgwcPcv/997syFDzBmgoMSbDsG2qaJocPH6arq4tt27bR0dGR8bnFixdz8803U1RU5LzW29PDx7/7mMWLF1NWVoYQAk3TOHHiBG1tbfT09HDi+Am2bdvGQw89xNKlS2lra2PDhg288cYbzoolti/MNE00TaOgoIB77rmH7u5uXnnlFaqqqli3bh1Av8Uuy8rKmDdvHkePHkXXdXw+n/O5kQqGe5o8I/TDAksAtsUnJEoKSgj4L6+SMqMxhBvJttxhLpIk0dzczMcff0wkEmHlypUZi9tOpSF6tutkKh37SBjW2MgwDE6ePElHRwdvv/02b7/9Nslk0rlgX/rSl1iyZAnFxcXO51uam5Ekwfx5NRQVFgJ9zny7EoI/4GfZ0mX81V/+JXn5+Zw9e5aTJ0+iaVpG6ITtxFdVld7eXtra2njkkUfYtWsXb7zxBgsWLCAcDqMoCn6/3znuoqIiampq2Lx5M9FolFAoNKCTeKQIAMvCsExwhqZQWFDAzMpq8sN5o7avqcLFXt/R7IT2tnbs2MHOnTtZtWoVlZWVU7qzT+Vjv1iG7cyxy6jce++9VFdXZyzZXlFR4YiVTTyRwO/zU1ExjYBruGhvy067k4TAItOa03W938rC9nuappFMJpk7dy7f/e53+fGPf8yGDRv47Gc/SyQScZz5kBqqFhcX09PTQzQadRZ/GK1hQIZlJQTYMUqkTs8yLeLxBKcaG+jp7fGGguOIu0PHYjGOHDlCWVkZq1evdt73mDoMy4dl/77mmmtyRga7Z/rsz9sObtPsE54+oejz9SRV1RE/XdeJRqPk5+f3i+2xLTO7yqff72fZsmXceuutfPjhh/z85z/n3LlzGXFPhmGg6zqBQMAZAoyWaPSbKUu9iIRIDQkRIASyIqOqGpo6eep9XW4cP36cAwcOcOWVVzJt2jQnlGYqcrkK7ZAFy231VFZWEolEnJm67JAEt7hFInnohs755mbi8bgTnyUQ6UJ3KbL9Sfa23RacvS/bOrIjrAsKCrjjjjs4c+YML7zwAkIIx/kO0NnZyZEjRygtLc0pgqOBsx2XpdVXxi/1hyQkxBTtIFMdVVV5/fXXURSFFStWXBIlZKbqcY+EIfce0zTp7e2lu7ubUCiUMzQg++YLISgpLaGwoIATJ07Q0dGRkdMnpVNzFFnJCIWwUzw0TUNVVWeb7iGcruu0tbU5glZTU8PatWupqalxtmF/r62tjfr6eioqKjKcrOOJaZooyvBTkTxGjmVZNDQ08MEHHzB//nyuuOIKb2ZwijIswYpGo8yYMYOysjJHsAbr/AJBfn4+K1asoKOjg2P19amcM0li0eJFVFVVEQ6HmTlzBosXL3IsJ5/PR01NDVVVVf2CRyVJory8nHnz5pGfn+80PEVRWLJkCV/4whec4FUhUuvMdXZ20tXVxcKFCzPWVLvQ09WdvD1QmshQG71lWSQ1FcPMXt3aY7TJzuFMJpNs3LgRRVG48cYbKSkp8fyIUxRhZfW47A5o31R7dRE7LGBIiylaqeWyDh48yH//wX9n8eLF/Omf/Sk+n494PE4gEECSJDRNw7IsR2Ts3DvAGdrZM4R2WEQymSQYDGZYevYwUVVVZwmu1tZWnnjiCd5//30ef/xxZs+ePaRhgJ2GZOMOiLXfcw9jnW3aHcU1RNQ1nU2bNvHX//2v+fZ3vs1n7vuMc55TrQbYVMD9MDFNk9OnT/OVr3yFhx9+mHvvvTcjbxAuz6HVVGXIFpadphMIBJzh1oVutL3iyIwZM1hcu5j9B/bz0UcfIcsy4XDYqdYQCAQyUnQkSbAPzBMAACAASURBVCIUChEKhTJEwf7bXtPPDotwR7f7fD5n25qm8cEHH7B3717uvPNOpk+fflE+i1yr5rr9YFkXyvFfYT/pBYTCIYpLi/EH/Bnb8YYlo4/bwopGo3z44YfE43EWL15Mfn4+MDQL22PyMeywhuHcYDs6PhwO8+lPf5pgMEh3d3e/YV6ubQ461BzCMdhP1+7ubmpra1m7dq0z5Lyg0LpmJO1FI+zQBbd4ZtfdGuw4ZVlGVVVUVb3gsXuMHLt9tba28h//8R+sWbOGWbNmeUnOU5wxT6qzO/OVV15JeXn5iCOXh4o93FqxYoVTXuZC+3QLkGVZdHd388477zB//nzmz59POBzGsixUVWX//v2cOHGCnp4epk+fTm1trbPaSq59qKpKd3e3M/z1OszY09vby5EjRzhz5gzf/OY3+8UIThTuyPtLrR2M9VB7zAXLHjrl5eWRl5eK8rZvFoz+Sbm3pyiKM2s4lKh22/KzHfXvv/8+f//3f88f/uEfUl1dTTgcJpFIUF9fz09/+lPHDxePx1mxYgUPPfQQhYWF/QoY2seSHfrhCdfYIUSqSohd/ri2tjajishEYlv/3pB0+EzIHPtY+w9ybXsoM4K2iDQ3N/P666/zk5/8hGPHjjnDOCEE3d3dPPXUUxw6dIhHH32U733veyxfvpxnnnmGrVu3ZsSNufH5fBmTFcOdZfQYHrquU19fz7Fjx7j//vud1Y0mmuwHp3f/h4cXFJTGFrSWlhaefPJJfvGLX/CJT3yChQsXZgSh9vT0sH37dh544AGWLFnCvHnzuOaaa/D7/bz77ruOzyvVDvtE0tBT0fZusR7rIXGqM1x+HUKSJNra2zl46BA182pYvnw5siz3C0+ZCLFwTxB5DB+viHUau/EWFBSwbt06Vq9eTVVVFbt373ZCOgzDIBqNYlkWM2bMcKo+VFRUcPXVV9PW1kYymSQQSOVMdnZ00pAul9PZ3kk4EKG1pZW9e/eiKAozZ8506n2N5nlkrjAkiEV7OXz4IOfONWFYpNQ0LWZWOuvAkU4hMNPvu7MJ7OGUXTJ7tDvchSyOXOJupb7Q77tCCHbv2cOBA/v5/Oc/7xRttC3obNG60ATQaDMZLL2piidYLizLIhgMsmjRIkzTpL29nVgs5jRkXdfp6UklL1dWVjqClZeXx8yZM9m2bZtTvUISgtaWVp76t6c5Wn+U6mnVnDx1kpdefpnfvPUbCgoK+PrXv86111476rFYbt9YNBrlP159hbfe+g2SJBEORwgEg0TCYTRdwxQpEUrNYOokkyr5BYUE/QGSiTjRaG8qKyEdMuL3+1FVFUkSRPIiJBJxLNPCtCystFBaQsIi5VAO+QPomkYynkiLnIXsk7Gw67NLSJJIx92lSklbFv2s0WQigaqp2BZjMBAgEAwiSMXlmZZFKBQiqSaJRqNomsaSJXUsrVvqxO7ZvlO3szuXxTXWgnIpC9ZYn5snWFnYcWG6rpNIJFBV1fE92TOEkBIpt5VhGAbBYDCV+gOYlkVRcSG3r1nFnPlzkAyJ+hNHWVJ7NXPnzSUSiYzZslK2JRGLxXjppZd4+63fsHjxIpYvW044HMYfCBAKhdANHQswTANV1dA1naSqkZdXQMDvQ00micdjTnCuW7CEgHA4lBJowDLNlGUGICQsK2W3BQJ+DE0nmUgiSwILC8WnYFpmhoDYguXzpeLUdF1DiD5hUVUVXVPTsX2CgN+XsvqEQNN052GjaiqxWBy/30919XTKKyowrcyaWNnXarB/e0wuPMEaBLselzvI1a6o2tXV5UTCJxIJurq6CAaDqeRuSWAaJqWlpay5cw23ahrH64/z/vu/ZeXKldyx9g5ne6PRQfpXwUhZVlu3bmX9+me54YYb+OxnP8fcuXORZImUby17G+nfqXcR4sI+nlyHnpUn4Ww8HT+belXK3Kd7z/Z2B9q1q84H2R8WCJflJsDCEUZ3ldmLFamBskA8xg/P85dmIGe4aZrOMM/n81FWVoYsy+zYsYPe3l4nCbu+vp6SkpL0dy2EnOqYdnJ3NBqjtaONpJq8qPUYL4TboZxIJNi/fz8/+9nPmDVrNo888nvMnjM7LRRWxo/9P4SVroSTLvmTuij9rk3f9eq/LbAQ/SUl5Scy3Z1dZL1vYpqZvqV0woDzk/qK6zicN/qO07IssFLClXZwISGQ6EuoH+lDwpvZnVg8wXKR3SntEjdnz551fFmRSIQFCxbw7LPPsn//ftrb2/n4449pbGxkxYoVqUhqAQgLy22lCCgoKHSKGI6mv8QdmS+E4NChQzzxxBP4/X6+973vMXv2bGRZwbIElmX3fgnS3bnvR6SlxOr7GTA8pG8b2T/CErb+9cmSBEgi9ePaln1MyaRGPB7HMHRyCWHfT64LQFqosn/6ylNnO9YvdqbWS+mZWLwh4QAIkaq75Y7fMU2T4uJiHn30Uf78z/+c//k//yfFxcUkk0kefPBBPvWpTyHJEhZ2LFY6m1JAXn4eoVDQmY8baaPPjii2rNS6jB988AHPPPMMAP/jf/wPpk+f7kzpD22/bmEYYad06YtlWZhWOljSyh6P2tVnLdcXs8VJZNhvme8MfqTOVkchUDc14SCNiZXscWE8wRoASZKYNm0a3//+95kxY4azdl0gEKC2tpYf/vCHtLW1oes6paWlzJ07l/yC/L4nebqaKqRkS5Yl8vIj+PxKzmn44eAOOrW/K4Rg9+7d/PKXvwTgm9/8JrNnz85IKB/6vkbZehCpEti4wyectywQgmAw4MSNmWb2it9928l5ZCI1oh1s/4aeqnirKMqIZmVHe8Ulj+HhCVYObCEJhULcfPPNGb4Pu9LEtdde68Qo2Z1ACIGV3XNEX+P2B/z9Ch9ebMPPLmZ48OBBnnzySYLBIA888ACLFi3KWJV76NbAKHREkf1PkfHb/X7K4gJJyBiGiWWZ2DZTX/Bt32TAgLsbNIuhb32AXOtmDvm0hPAEa4LxBCuLbOvFzu7Pxn7P/tuxCLI6lb2tZDJJT09PxrqEI0WI1Dp79fX1PPHEE8Tjcf7oj/6IpUuXpuOZJodzeCChcX0g9UuAEHbq0rC2cMExoR1LNtIcTk+oJhZvEO4iV37fhTr9UHIC7ZiolpYWpzDhcHPJ3PuxO5ymaTQ2NvKTn/yEI0eO8JWvfIVly5b1S/KdKp0s26HtvkYjmZ2zHy5+v9/zO01xPAsrC7vDuOtcDWRhDfSejVtc/H6/swBHLh/Uhcj1nePHj/OP//iPfPzxx/zTP/0TixcvzlgkdiozUj9f9ra8yhiXBp5guciMM8r994Xey4VlWXR1ddHZ2elKjh66tWALlWmajq/syJEjPPXUUzQ0NPC//tf/4qqrrsooTjcVO2f2Mds5nNC3mvdobdtjauIJ1jgRCAQoLCzM8HsNB/dw6fTp0/zqV7+isbGRb3/729xwww34/f6spOepz1QVXo+xwxOsscCy00zSUe+AIssYmo5pZK6aM1CHHMhn09DQwPr162lsbOSee+7h+uuvJxKJ9IvLulQYy6HtQEN9j8nL1HZ0TEbS6SFO6JBIBTtqqoapaQMnyeXcVF/Srq7rnD9/nl/96lds3bqVW265hVtvvZW8vDxnGGinn1wqnW4kEemD4X4YDHeSxWNi8QRrLBF9wqVpKqZhZtaeGsom0g7jzs5OXnrpJd544w3uv/9+7rzzTmd9Pc+hPHQGEidPqKYG3pBwLHH1gVAoTEFePj5FcQrPZXx0kOFJb28vH3zwAS+//DJf/epXWbduHYWFhZ5YDZGByhIbhoFhGE6MlnctJz+eYI0TAuju6SaRSPa9ltU5suONhBB0dnayYcMGXnzxRR588EHWrl3bbxjoMTjZQmT/nb0KuPs9j8mJJ1jjgAXEYjF6YlH09FL17qd9diexI7Kj0ShvvPEGGzdu5FOf+hT33nsveXl5XgcbJrmCdO38yrFavcljbPAEazywLPT07KA0aM5bX4eKxWK88847bNq0ibq6Oj7zmc9QUVHhhC7kqp7pkRu3g90dy+aJ1NTDa/HjhL0O3WBJupDqVNFolI0bN/LUU08xb948PvvZzzJ79mzg8rUEslOTLsZh7p519ZiaeII1Fti65CqHkkgmUE0DS/TPmXM7z+PxOB9//DF/+7d/y+zZs7nvvvuYO3duxhBwpFHfUxVbcOwVjOy/3UKUK37N7bOyHeweUxPvzo02LivKbQtpuu7ESaU+1j/dR1VV9u3bxw9/+EOuvfZavva1r1FTU+N0zMu52qU7dzMWi2WkOdlcKK8TGLU6+h4Tg+fDGif8/tRqMO6Vod2dSFVVPvjgAx5//HGuueYa/viP/5jS0lLnO5ejVeCekLAtJ3shEPcq2u7P5/Lt2Vape+WcgapleGI2uZkwwbLN+GyL4VJsMHaHye4cdodMJpO89957rF+/njlz5vAHf/AHlJeX9yttfDnidpjb1yBX1VDDMOjp6SEUCjllZLLb1UD3wH4/ez8ek48JtbDsVYQvpXSSXAzk7LVrWm3evJnnn3+eiooKHnnkkQyf1eVoWbkZzALKnv270HDvQsPpS7kNXipMaG/I9RScKgxlpilXzpr735qmsX37dn7605+Sn5/P5z//eWprazPqbF3OfisYPDncfgjYK1cHAoGMstAelx4TamFNpShtdyfQdZ2Ojo4MK0iWZXw+H6FQKGcwYqr0b9+CCklV5cSJ4/zfxx6juLiYRx55hNraWmdfl6tAZZMt3O7X7etkD5tHuu7gaBQL9BhbJtzpPlUah7uI3rlz53jssf/rlDuORCIUFBSwdOlSVq9eTSAQwK5NbmMaJpKUmiU0DIOGU6d47LHHQMAff+uPuerKq5BkGYG3Moubga6BO7TD7/fj9/svylr3rvHUYsKGhFNxmCOEQNd1Tp8+zeuvb+Ds2TP4/T46Ojo4cuSI/akBv287fY8cOcIvfvEL2ts7+P6f/znz580HSWBaJlzmQ0A3g5WXcb9ui9fFDJ+z9+Fd98nNhFtYU41kMsnBgwdZvHgx/+W/fIcZM2agp9e8KysrxedTSA39rIxOEMmLMGd2DbFojDfffJPW1lb+y3e+w1VXLUL2KSkLbpilZzw8Ljc8wRoCbv9VPB7nwIEDqKrKgQOHOHLkKGVlZVx33XUUFRVnhGtomkYikSCZTOLz+dB0lS1btlBeXspnP/tZ6urqCAaDmHb8kPd09/AYFE+whog7ZurQoUOcPn2a559/Hl3XiEQinDhxgvvvv5+qqirn82fOnGHTpt9y9uwZentiHDy4HyyL22+7jZ6ubtrb2qgOhZAv89AFD4+h4gnWEHFHUQcCAZYvX84nP/kpQqEgBw4c4LnnniccDvPFL34Rn8+HaZq0tLTy6quvsnPnLvw+P93dXdx4/fWcO3uWF557jlmzZlE1fTqKJGFXgffw8BgYYWUFrQwUqHc5T/naNdVtp/uZM2coLi6moKAAWVY4fOgQP/3ZE8RjUf7u7/+OUCiUTmRO0Nx8nq6ubo4dO87TTz3N7//+73HNNctJJBNMr6oiEslLV3GY6LP08Jj8eGORIWKHGvT29nLq1Kn0v1Or4oQjYaZNq0DTtb4yMkAwGGDmzJksWDCfcDjImbONJJIJKqsqqamp6RMrDw+PIeEJ1hCxI6obGhp47LHH+NWvfkV7exvxeJzjx4+zbdtHlJSUZBSHcweUyrKEaRqAhSzLKIqCkETfamAeHh4XxPNhDQNJkigsLKSwsJDnnnsOTdMIhUJs3boVn8/H2rVrndSQbMsplUYyQQfu4XGJ4AnWELAtJkVRqKys5D//5//M+vXr2bt3L8lkklAoxBe+8AVuuummjHQjd/6gaXpq5eExUjzBGiJ2GkgkEuGmm27iyiuvpLu7G8MwyMvLo6SkBEVRcpYvya7B5OHhcXF4gnURCCEoLi6mpKTEec0dMJr9WQBVVTOK93l4eAwfT7BGQC4Bskwr51SGrulIQnjR7IMw2GKyHh7gCdZF4V4QInutOwDh6ndWur/FE3EUWU5XcvA64UDkup4eU5OxiN30BOsiGXAhU8sCy16lPhWnZWH1LYkuvEiSwTBN01lcIhAITPDReFwstosERnfhD0+wxhiR/l8oGKQwvwC/3zfRhzSpsePdPOtqauOuCDuaZXs8wRpDLNI3DfD7/EhelOgFkdPDZo+pjb1Ww2hXz/UEa4wRUupmdfd0c76thVgs6tUcHwR3JVHvOk1dxqoYoidYY4hT810I8vPyKSksIhgMesOdARgoJMTDw8YTrLHENhAsC9MwwPSKyHh4jARvymoscGmSHeJgWiY98RhJNdlvyS8PD4+h4VlYo40d7gCuZGeBovjQDQPDMCbqyDw8pjyehTWGCNcfPr8Pn6J4y0x4eIwAT7DGAQEEA0HKy8oIhcPO696w0MNjeHiCNQ5YQE9PN4FAgFB6ltATKg+P4eMJ1jhhWRa6pjvRvx4eHsPHc7qPIRZ9s4FJVaW9s4N4Ig64cxHH+hhAuAVynGKbMkVZDHm3g0n54JvI/U3L/o/I8h5mHt7FYW9DTPZFWlwHmvP1wbjw+YznuXuCNQ5YloWma6iahq7nmiUcqOEM1gAGbmyW63u2YPbbkhDYa03n2kuurYvsFwc4PNNM++bSYWepdtz34YHatTXAfi+wO8BOtLUy9mV3JBOBEHJqOJFWMOGawb3Axgc5WMv527LMfic24ATLIPu6kPFt7+JC/s/MSHPL9du986Fe8dwH7D6G8SpS6QnWGCJILTIhCUE4FKa0pIRwOJTjkznlYYh7GVhFbOvC0A1nUQxIl8Whf/MdTSwLDEN3csrExQrDEPdldz7LFg/3jiSReZUy+u/FXgWr3z9Ti4ykrEnJVSp7rMglWrZ/NFM8BLnF6oJ7YDCxMk0zoyLDeOD5sMYYQaoRBfwBQsGAa5VnK93FBKnbIHL8pD5nl6ix/+faMiClt9H3k9FMLZOzZ8/S3NycowrC0DqqczSujw/e3FPHfOrUSVpamjFNI2UZDGJZZe8r14/l+sH9twAhUtdQCJmurl66uroxjHRnQvQ19PTGLNK1yga1CKwBf7JfEZJANwza2lqJRqODn8wgCCyESFmKqR+r73f2MdgWpGnS0tJCT08PUnroK4TkurDpNmblOpiB2l7/Nph9B4QQRKNRotFoDutq4Gs3NLHMjSdYY4wFmJZFb28v55rOE4vHB/iMwHI1qJSlYGFZJhYmOD/pRS0syy69RUYDs1JVT4VlgWnS29PLT//5p7z88st0dXdhWX1PRSv9WfdCGU4dIzM1bBKuz5iWhSn62r07Yj+78J5pGvz4x/8f69evp62tLd3200/l9LaM9N+Qrt6aOukhXVfT6hNvyyK9HQkhJN56622efXY9p06dQoiUdef241n2d4XrUZDjXOzrD2b6t/16+u/0dUgNvyROnTrFk7/4BR9+8KEzuZLLCrrgxIsFlmliGSaYYKZ/229aVup4bDFrbW3l6aee4p2338YwzLRYpa6lZdo/fVaRbYmapsA0cX5SX0m1w77XzHSbMTBNA8sy0vtOWdAbNmzgtddeQ1VV55q5r5P7xz522zK7mIwPb0g45qRUxTAMwuEQoWDQeRpl2DpuEyLjKSxlPZSF/f/ciEznpxDQ2dlBQVFButSHhL3QtEj/R7g+m3HktjNVchwn9i5yf8F5OeU/6e3tQVH6ysWkhqV933MmHgCk7PO8AO7vCoGg7wl//nwTR48e5brrrs85VBFDHL4Il1no9o3Z1lw2uqYRj6Uqyw7mzxl0+JRxXqn/SFmWYN+EjeV8pbunm0QyiSRLqSKR9gg8w99u32vhtAH6nIw5zh36rKl+n0CSZFpaWtA0LcPd0LeNHNfe9b69BsJw/F6eYI05qcYRCoXo7Opiy9atqLoOImUVmEbK3yClfQ9qUkWSJSzLRFVVQqEQiqJgmAaapuLz+QCRyqO2bGvGxDItTNNAkvqGP4osE0/EaWg8RVJL8u6771JUVIiWruhpW2S6rju+D9vflEwm0dQkkiQRCocxTAPVbpgi1fSltF8sdUx9T3BZljAMk6amczQ0lLFp03sEg2nfneOn7v9Udc82ZXYX19VMN/CU2yrTarLP4cCBA5w718SOHTvo6urEMAwsC9yeLMu1PTd2eRtd15Ekd+dKbd/nU9A0PadVcLqxkVMnT1KQn4/kUxyrI9d5DtZJFVlCIDIs0Mzv9amQosi0tbVSf/QoAsHGjRsvKACW1V+A3LGBbsHz+33pa5FqVe62Iskyx48fx7IsNm/e7AhXqh1Kaf+lRDgcJpFIOguxBIMhqqurmTNnzrBnGD3BukiGc6ElITFz1ixqr76apvNNfPjhB5iWiZl2iEuSjGGYaJqGZZgYpg5Y+HypdB7d1FMlln0KPp+PeDyJaVooii9tvZmYhollGalFLiwDTBNFlkASnG9uIpFM8N5771BQmE80GiOpqgT8QSwTdM1Im/gGsqwghMAwDExDRxKg+BRMQDdNJFlCURR8soxlWui67ixvpus6mqbh8yn4/X7OnWtC13Xi8SiyLKPrRtq6EX1P1rT4maaJJETqPEwTWZHx+/0AaJqWHgLawwwLIUnEYjGSiSRCpAokWhbk5+ezb+8+kqrKxx/v4MSJE3S0t6X9WekhiH1jROr6J5PJtNDaq3TLJJNJ8vLCaJqauhYmKIpMQWE+3d29GIbpDKMVWSYUDNJy/jyNjadpb2/nZOMpzp47B+Cs9N1nWQmnsqqVJUh+n5ISPCHo7Y2SUFV0TXPuvappGIaePlY/RcWF9Pb00tDQwPmm8xw/dpye3h4s00Tx+cnPz8M0TaKxKJIsEQz4kGQJXTPQNB2Q0DSdZFJFliSEJPApPhCgaSqRSIhYLEooFEKSZWLRGD6/giwrRMJ5HDp0GFmW6e7upr29HUmSiMfjyIqEJAl8ikL1jGo0TaOttY1YLE5JSRmf+9znmDNnzpD7kM1lL1gXs+iB3TmdGbALfE+WZWpra/nBD36AYRqQ9vGASPscBImkhppUkYUgkUwgBBQWFICwiEZ70E2DoqJiZEmmvbMTw7AIBUNYCEzdxNBTIicLMHQNQ1eRJYGQJaLxKBXTprF27acpKCwkFks5SvPzC7FMgabpyJKMqqpI6eGMLKTUUMQyMCwLIUtYQuDz+QgE/Pj9frSkSiwWcywSVVVJJpMEAn7y8iLU19dTt7SO1atvx6f4SKoqkqxA+rrZHVgSErqho0gyhqajaxp+v4/8/AKEgN7eKLppYAmBbuho6ePs7Oiku7sLIQR5kXws02L69OmEgkHa2tu56667qJk7lzOnG1E1NeUrTFeAta2VZDJJT3d3Wmh9+P1+J0G9qKiAWDyGqqoosowsy+Tl5xOPxzHMlFjpuk7A56ekuJj6I0d5b9N71NXVUbe0jobGBgD8AT+hYAhZTnU3SUpZoKqqZiTDm4ZBXiRMcVERpmnS09NDLB4nHo8TCoUI50WIRqMkkwl8Ph+RvAglJaV0dXaBaVFVWcWVVy7iXNNZDN0gHA4zvXo6mqbR3NqM4pcpKszD71eIxZLEokksSyIWS9DZ0ZGq1SZJKIoPSRL0dHchKQJD1wmFU5a+pqkEAgECgSChYJhYLI6qqixevJhoNIphGMRiMQxDd6zxstJSSkpLaG9vp6O9g5KSUiorp11Ukb/LXrBsDMPIqHY5GO41CLN/MnD8SYJgKMj06uohH4/tmMx1THNmD30bzc3NdHXHqJlXxJVXLqasrGzIxzASVFWlvLyCmrnzuPaa68nLyxuX/QLs2rWDUDjEggXzWLRoEVcvqR2X/e6btY/T585St2wZd99997hN9Z84cYLf/W4HV9XW8sgjj4zbfnVdp6enl3g8zje/+U1CoVwhO6PLZT1LONDM0IWw/TaKooxZoFz2sV1MOo9IW0Tz58+nqqrKGbqNdWqQbb3Mnz+f4uLiMd2Xvb/UsC01lVZYWOhYT+OZYB4IBCguLiYQCAx5nxd7n+3VheyHWmlpKfn5+RnbHGt0XScYDJKXlzduiwQLK+vMcgWiuV+fnKkHF49bqIZjouaayh/ou9nXbqBr6XbG5moAQy0h7N6Orus0NzcTCAQoKCjIOYS9mHs6WIewp6xbW1sJBALk5+ejKJnG/EjbU65QAUgNv1taWtB1nby8PMLhcIYFnOu4h3PPB/qOaZrE43F6e3uda53dJrK/P9A1HOy+uu+tHVenaRpdXV34fD6KiooYLOp8ONd9IC2wMQyDlpYWLMuivLwcOR0sa5+beyJktGq8X/aCNRKG4v+yPxOLxejt7cXv9xMOh/H7/U7Dyt4WpITGmbUTIuOzgw1fs63FRCKR0VmFEBkWwMWkU2RbA/a2bZ+MPTSwj880U/6a3t5egsEgoVAoY0WVixVMe/+GYaDrOn6/P+N62r5Gd8yPoihOx7KPcahDKFsg7JlZVVWd/dozpe4HjqqmfHzBYJBAIDDic3b7uzRNQ9M051ra52xjTyK4cYvkUAUr+5yd9TVztFvLsojH4/j9/n77Hq20Hc+HNQKGcgM0TaOpqYnNmzezd+9eioqKuOWWW6itrSXsqo1l4+5o0Hejsx8cFyKZTHLixAl27tzpdErDMCgpKWHFihWEQqERNyD30765udnZ16233up04J6eHhobG9m3bx8HDx6kurqaW2+9lerq6hEt52VfB13XOXbsGKdOneKmm24iPz8fIQSqqnLq1CkOHjyIrqdmWROJBPPnz2fx4sXk5eUNa9jk/mxLSwsnTpygvr6e3t5eqqurWbJkCdOmTcPv95NMJjl37hzbt2+nvr6e6upqbrzxRmbPnj3iJcza2to4deoUJ06cIBqNMmvWLGpraykpKUGSJHp7ezl58iQtLS2Ew2HngVdWVsasWbOGLRz2tTx9+jQnT56kp6eHkpISFi5cSFlZGYqioOs6nZ2dHDp00m4eLwAAGiBJREFUiPr6ekpKSrjqqquYPn06wWBwROebjSdYY4hlWXR2dvLMM8/w2muvOTOLhw4d4hvf+AbLly8fcHhmz6JlP/3tmcmBsL/f1dXF008/zbvvvusMBU3TZPbs2dTV1eUUy+FiP7E7Ozt56623eOGFF1i4cCGf+MQn8PlS8Tv79u3j3/7t3zh06BC9vb0IITh69Ch/+Id/yLx58/oNFYdDIpGgsbGR5557jh07djBnzhzy8vKQJInu7m7+/d//nVdeeYVp06Y5Q7YVK1ZQVVVFQUGBM3EynPNVVZWNGzfyyiuv0NHRgWmaKIrCypUrefTRRykvL+fMmTP88pe/ZNOmTcRiMWRZ5tixYzzyyCMsWLDgoh8UyWSSt99+m+eff55YLDV7KYTg937v91i3bh2FhYUcO3aM//2//zfxeNw5x0AgwMqVK/n85z9/UQJy4sQJnnjiCQ4fPuw8+O68807+03/6T5SWltLV1cVvfvMbnnnmGZLJVOxeXV0djzzyCIsXLx60vQ4XT7BGGctKpUKkfAsqx44d49VXX+WBBx7g05/+NC0tLfz85z/nscce4x/+4R8oKirKGLLZVottodjbdP99IX+Zrus0NTWxbds21qxZw2c+8xlCoRDJZJJIJEJpaWnfsV4giPFCNDc38+KLL/Lkk08Si8VYtWoVwXQ0f0dHB//v//0/jh49yte+9jVuuOEGfv3rX/PjH/+YadOm8eUvf5mCgoJh79OyLJLJJB9++CFPPfUUmzZt4oorrsgYGkWjUc6fP09VZSU//OHfICsp31ZRURHl5eUX5ZQ2TZPjx4/zr//6r9TU1PCtb32L8vJyfvvb3/L444+zfNkybrjhBja99x4bN27k29/+NjfeeCMbN27kxZdeIj8/f0SzaUePHmX9+vWEw2G+973vEQ6H+ad/+ieeeuopqqqquPnmmzlz5gw7d+7kL/7iL1iwYAGtra0YhsGiRYscsRrOsDAWi/HYY4/R0NDAww8/TF1dHS+//DI///nPufrqq7n++uvZtWsXTz31FDNmzOBP/uRP2LNnD//6r/8KwPe//32Kioou6nxz4QnWKGNZqSW9JEmiuaWFjRs3YugGDz/0EOXl5cyaOZNTp07xs5/9jHfeeYe7777bCZAcSIgy0x2GPgw9ffo0119/PVVVVYTDYRRFcfw8o+EITSaT/PznP2fz5s1ce+21dHZ20t7ejq7rTjBhY2Mj8+bN47bbbqO4uJh169axceNGWltb6ejouCjBMgyDbdu28dd//ddMnz6dm268kWg02vckt1JhFVXTKrnxhhuZOWsmQgjmzJmDz+dzzv9isCyLm266idtvv53rrrsORVGoqKjgt5s20dvTS9O5Js6cOcuiRYtYfftqioqLuP/++9m5cye7d+2irbWVGTNnXtS+e3t7WbhwITfeeCN1dXWYpsk999zDli1bOH36NPF4nGQyyQ033MDtt99Ofn6+E7Rqz2jb/s+h3ndd11m+fDn33XcfN954I6FQiFAoxNtvv01jYyNz5sxh27ZtdHZ28qMf/YiamhoqKirYsSMVtHvy5EmWLl06ar5vT7DGCAsLNZmkpaUFn08hEAwiSTLBkEJJSQmJRILDhw+zbt26Ud2v3ShbWlo4ffo0f/u3f0tlZSVCCK666ioefPBB5s+fP+L92E7dVatWcdtttyHLMi+99JKTfgF9aRyFhYVOilFFRQVXXXUV0WiUjo4OZs8eYlCZC0mSmD17Nv/tv/03Kisr2bp1Ky+/9BJGutaYhcXpxkZ27d7Fu++9y4Y3NqDrOqtWrWLNmjVUV1dnhHgMtTNJksScOXP4+te/TmFhIcFAAFXTaG5upqmpibz8fJpbmjnd2MjcOXMpLilGliQikQhlpaW0tbbR09Mz7PO1WbhwIV/96lcpLi5ORb2rKq2trUQiEadNnThxgmPHjvGjH/2I5uZm5s2bx1133cWSJUsyZkyHSl5eHg888AA+nw/DMKivr+eNN97A5/OxaNEiAoEAuq5TWVlJeXk5iqJQUFDA0qVLaWpq4vz58xkTPiPFE6yxwJ5VSXcIZ7Vny8pI0tU0bcziZYLBIFdddRULFy5kwYIFNDQ0sGXLFjo7O/ne975HSUnJiLYvRCqPcOnSpSiKwtmzZ1EUhZ6enozZLL/fTyQScZ7qfr+fwsJCmpqa6OzsvOh9T58+ncrKSgzDYMeOHanobLlv5qqpqYlYLE5hYSELFizg1KlTvPrqq3R0dPD5z3+emRdh5ViWRSAQoLq6GkHKwjx+/AS/ePIX5BcUMHPmDE6fPkN3Tw9+e1bQMJElienTp3Pm9Bk0VbuocwYoLi52XAjxeJwjR47w8ssvs2zZMhYuXEh3dzdHjhxJ5YFqGkVFRezfv5+zZ8/y0EMPsWrVqmH7k4QQFBUVYRgGW7du5Wc/+xn79u2jrq6O0tLSVFaELFNeXk4gEEAIgaIoTqBwR0fHRZ9vLjzBGgP6R8CnHeeSkyKPLMtO4xtt7Kffd7/7XZYvX05xcTGtra388pe/5J133qGxsZGioqIRRUTbzn97qCGEcHIJ3T4SezrcHWphGIYzfLnYfdv7jcfjqEnVCTGwmTdvPp/73OdYvHgRs2bPpqOjgxdeeIHdu3dTW1ubEp2LGBLb59EbjXJg/35efulldu7YyVe/+hVmzprF2bNn04KdPt90mrem6Rim4YjqcHFf056eHnbv3s3zzz9PU1MTX/rSl5g5cyYtLS3U1tZSV1fHbbfdhs/nY8eOHaxfv57169ezbNkyysrKhj3RYO87GAxSXV2Nruu0tLRw9OhRampqBsyLtGdm7e2MBp5gjTLCKTXX96SJxWKpGSlX0quiKMyYMWNM0igURWH27NlUVlZSXFyMJEnk5eWxfPlytm/fTnt7+4i2P1iYhTvg1RYx+/xtZ7kd5DjSVA47Nk3xpXLcbLEUQrDwyoUsuGIB+fn5+H1+/v/2zjU2qnJdwM+aNTNtZ+hM6bSlF2i5WLDUklYLlRPUwC7sDRjZYvBkKxIvf44Jf/THOSdREzVGg4mBxAu68ZJscMuOGjZH5GhABbm03aAtYltLWwFbsC3TG537bZ0fM99izTBAC1NtOetJmplZt2/dvrfv937vJT8/n1WrVtHc3Ex7ezvLly+Pm9gYLSIw+ocTJ9j+t+2c/eUsf3noL6xctQqr1Up6ejrp6WlEYh1YzKr92vMrbrc7GrB+A3i9XhobG3nrrbdwOp089thj1NTUYLVakWWZhx56SPU+lySJ7OxsWltb+fjjj+nr6yM7O3tMglr48plMJiorKykrK6O/v58nnniCnTt38sQTTxAKhTh37hxer1c1sItrT3W4zv/r0JxxIfYeKEqEKVYrc0tLiSgRfD6f+jk4OIjVaqWkpGRcBJbL5eLo0aPs2rVLDUgV9g6fz6eq8qloW/viy7KsdhxAFZTCsB6JRBgaGqKzs5OioqLrsl8ltitJEkbZyKVcT9Gh2v59+9n7+eeMjIygxBIHut1u1Q1B7DuWIblo8+TJk/x12zbcHjfPPPMMjz36mOomUlBQSNH06QwMDBLwB1AUReOJbiYjaYrs0bUtSRI//PADO3bswGQysWnTJtavX68Kod7eXr766ivOnz8f949D6zA7Vn8+l8vFvn376OzsxGAwkJmZicPhYOrUqbhcLgKB6D+K8+fP43K51Ovt7+8nEomkPDRLF1jjQazn2Gw2FixYQCgU4u2336a5uZmvv/6aPXv2UFhYSFlZmer9nMr4LzH9vmnTJvbs2UNHRweNjY3U1dURDoex2+3A6F/a0SB8lPr6+tQYPpvNRlZWFk1NTTQ0NNDf38+hQ4doa2tTX/rrJe7cpWhGBJPZHLWtSRJNTY38bft2jh49is/r48yZM7zzzjvIsswdd9yByWQac/yboij09vby7rvvIssy6x58EEdODi2tLZw8eRKn04nD4SAvN4+6+jrq6upwezycamvD7XIzf/58HA7HdcUZQtSFZNeuXQwPD7N+/XqsViutra2qE6nw/3rzzTdxOp34/X6OHTtGc3Mz1dXV5OfnX+aIfK32XS4XH374Ie+//z6dnZ2qcOrp6SE9PZ3MzEyKioowmUycOnWKcDhMd3c3X3zxBT6fj7lz547pHl8LfUiYYiRJUrNnSgYDM2fOYu3atXz22Wc0Njbi8XiYM2cOGzZsUNXlVIc9WSwWFi1axD333MOWLVuYNm0aAwMD5Obm8vTTT1NQUJCSdrTIsozdbicYDKoals1mY926dbz33nu8+OKLlJWV0djYyLJly6itrb2h4YLWJhYKhfD5fKpNzGQ2s+KPf6S3r49XX32Vo0eP0tHRQSAQ4IEHHmDevHnqvqPVMsXsa319PXV1dUQiEXp6eggEAupEw4YNG7j/z/ez+N8Wc+KHE2zatImKBRUcP36coqIilv1h2ZivWQxxQ6EQBw4c4MCBAwwPD7N161ZcLhcjIyMUFBTw5JNPUlZWxr333suOHTt46aWXKCgo4Pjx41gsFh555BFsNpt6vNFec15eHsuXL2f37t1s3ryZWbNmUV9fj8Vi4YEHHmD27Nmkp6fT0tLCli1baGtro729HY/Hw5o1a8jLy0vZDCHosYTjTiAQoKenh4MHD9Lf34/ZbKaqqoqKigp1GHEjcX2JKIqienWfPn2aw4cP4/V6kSSJ8vJyFi5ciN1uT2mbEB06tLW1EQ6HqaqqUoecLpeLlpYW6urq1LaWLl3KrFmzLos5HAtiJjISiXDixAkaGxtZvXo106ZF8yy5XC5++uknGhoa1FQ9t912GxUVFTgcjri4vtG2HwqFaGpq4siRIwQCATV6IBQKEQqFqK6uZtGiRciyTEtLC4cPH1avubq6mgULFiQNir4SWu0qEolQX19PU1NTNEGeLBMOhwmHw6SlpbFkyRLmz5/P4OAgBw8epK+vD0VRyMjIoLy8nMrKSjUcabTPXLTf09PDt99+y6lTpwiFQmRkZFBZWcmiRYuw2Wz4fD7a29vZt28fp0+fJjMzk5qaGmpqasjPz4/LfXaj6AJrnBEPXcxiidQ0wnlRJL9TFEVdnor2BH6/Xw1gFSlxEmfxUiEkhaAUAdva/6rChhbNaCqrbh5jFRhatDOPwWBQTXWitW2JdoVwSdfk0xfbwOgEpmhL2GwS+0MkEolmiI09Q5HITgRHp6enq/dlrAJD7COeZeLEhnh3xCRCKBTC7XajKIrattFoVPcb7T0X91iSJHw+H8PDw3g8HrKysrDZbHHHEAkH29rayMnJoaCggIyMDDX9TarCc3SBNc5o49XEw9e+iELdFy9dKh5sokOktk0tqRBWor0rtS3audI+13sO2uvR3t9kbSe759r9Ris8tCTuk3h/E++99hhj0bDEZ+K5JrtWrdac7Lyvp/0r7ZPsepOtF+eYqndNF1i/Eck6V+L6VD3Ua7WZ6meYrOP8Hu9JMoGhPZdUnNfVjpHMmK7VJG+UKwko0c61zu9629QefyzbjMf7pgus35HRaiM6OjpRdLeGCcRYnPl0rk2iW4DO5Ed3a/gd0TWr8UMXUjcnuob1O5Nqu5VOFP2e3pzoGpbOTUGiPTCZQXo8uZ6y6zpjRxdYE4TEDvZ7zbRNJK42da5NYSN+Dw0NqWmBtYVRtX5H13LtuJLNSzuLm7g+Eolw8eJFLBYLJpMppdP4o0Hr/pDsPG8mQaoPCSchN8vLdzWEI6q24k0yoQ5Rx9GmpiY2btxIa2srX3zxBS+//DKHDh2Kc9JM7NiJx0xcJtoXDpeiaoz2nERA92uvvcauXbtwOp2/+fNJ9LNL5jJzs6ALLJ0JidCKxGdidgmt1tDZ2cmOHTtUD+vs7GxycnI0GTaj+2iPdzWtQ6yXY+XpRWhJ4m9xDIvFQlFRER999BE//vgjweD1J+m7ERIjC7TLbhahpQ8JdSYMWg3B6/Vy5swZzp49S3Z2NjNnziQ7Oxuz2RwXMhIKhWhtbeXkyZM8/fTTTJ06lZKSEux2Ow6Hg0AgwNDQkBquIlL7TJs2DYcjG0kykNiVA/4AF0cuEgwGuDgyQjgUIseRQ05uLt3dXZw7d46srKkUFhZit9sxm80sW7aML7/8krq6OsrLy8nPz096XcmEZLJh5hjuGiBF0wQqUWHV1dXF4cOHuOuuuygsLCQtTVt8Irp9YvuTBV1gTRASX5rJ9BKlkkgkgtPppLGxkSNHjqg5l+bMmcOKFSu49dZb42x8TqeTtrY2pk7NprKyEpPJxM8/d1JXV8fdd9+D1TqF/9m9h9bWFmTZEBvShZk1exYPPfRwtIKQdCmXVjAYpKOjg3/+cxcerwePx0MwGKSooJCamhrqG+o5feYMsmxk2dJl/Gnln8jMzGTWrFnULKqhvaODU6faycvLu6yoq/h+LZtSov1J7KdmMdWsix4PVYsU3w8d+paTJ0+wZs2fKZ9/G5mxUm8QQQis6HGkUcc2TgTk559//vmrbaB3JJ3fEkVROHbsGJs3byYvL4+1a9cSCATYv38/kiRRVVWlBvLKskxjYyOff/45paWlrFmzBlmW2b17N7t376a4uJiSkhL+/veP2LfvS+bOncuihQvp6u5m7//upaLiNmYUF2OQ5WgXlqIplxsaGnjhhRcYGhpi9uzZhAJB9n+1nwPffENmZibFxcU0N7fQ3tHOHbffoZZpN8pGDnzzDbIss3BhtRoXGolE8Hg8uN1u/H4/Pp8Pr9eLx+NR0+KIZV6vF5/Pp/6JZWK53+/H7w/Effp8Pvy+6O/ocFSi+1wX/9i5k1NtbZjMplhmh0isInUQRQGDQQR/Tx6jvK5h6UwYhCYSDAbVjlhYWKgW7BTpXLTDpwsXLjAwMEh1tUMVECaTEaMx+j0QCDAwMMCDD/47Tz75H0zLn0butFw6Ok/xr4Z67rxzMSajMU7LUpRoxonnnnuOJUuW4LzgZNtft/Hd8WP853/9N7l5uZTftp+9ez/n9OnTlM0vQ1Ik7Fl2/H4/3V1dl5WVP3ToEB0dHWqZd6/Xi8vlYsqUKaSnp6szmyKjhXamUVEuVQK3WDIwmcyqRiXWKcSK70pRLfL8+fNYMtJoamqkoeEY2Q4Hd999N5WVlaSnZzBv3jzKy8uwWKzj/lxTiS6wdCYUBoOBqqoqHn74Yd544w06OztZvnw5q1evprCwUM0UKjp1OBzGZDLGVbI2mU2qYDAYDFgsGdhsNtJilWxycnIoKipiYHBQ7exaYeX1ebHZ7NhtdtLS0jGnpWGxWpkxfQZWqxWzKQ2bzRbX2RVFwWqxkuPIUW1GWjweD+fPnwdQU80AuN1ufD6fquGImUiRjFCUR1MUhXA4xMjIRSQJDAZZnUAwmUyYzGYUJTocNBlNuF0erNYppJnT6Om9gNPZT0PDv4hEwpSUlFBcPD1Oy5os6AJLZ8JgMBgYGBjA7/ezdOlS5syZw6effsonn3wCwLp16+JsQyAKXYTx+wPqsoA/oKbsieZTvxi106idUwIFBgb6CYWCqD2dS+4UsixHh4qShBJRCIeiQkSJRLVAj8cDQF5eHiiXUkSPuEbIDmTHaYFms5na2loWL14MEJdbXVyDFnEO4p4k2rEUJT59TaJNLBgMEgz4OXL4MGazidraWlauWs2MGcXk5DiwWq1YrVYyMjJi93LyCC1dYOlMKL7//nv27t3LkiVLqK2tJSsri507d7J//35mz57NqlWr4oSBLMuxyjxudVnUgTM6m+j3++m70IfJaFTLVEix/QoK8zGb0y4THrJBxu/zqYn6lIhCMBBkYGCIUDhMRIngdrnweDxxpcpEcj/ZeLlAstlsajGOG7MXaX3RorI29gsFiUg4TE9PD8e/+46amjtZ9odl3H777RQXF5ORkRFz1zAQLT03+VwddIGlM+E4e/Ys3d3daobW3t5edV2ia0A0+2UmFy8OX7L/GAyxzqygKBGCwQChcChaIzA25BsZGcFut10hh1VUS4nE7FChcIhAMEAoEr40sxYr99Xb24eCgoSE2+PBYrEwY0ZxXCJGrcaUKmEVtzS2WJEgokQN/HPnzmP16tWUlt6C1Toltl1Y4w0/+YQV6AJLZwKhKAoVFRXcf//9bN++nddff11NIf3oo49SVVUVZ+tRFIWSkhJKS0vp6uqmv7+fnJwczCYzU6dmY7fbycjIYMaMGZjMl9JSh8MRgqEQF0dccbUMxafJbKZ4ZgnWWG0/pKhdbP78+bE0yxLZ2VPJyrJjToulJQ6HOP3zz2TabMydW6qWEhOkJlwn+b6qSwMgyTLTpxfx1FNPqUO+S24Qhpjbg3TV401k9AR+OhMGoYX4fD66urr45ZdfAMjPz2fmzJlkZmZetq3f72fnzp1s27aNZ599ltraWgYHB9WSW5mZmXR2dpKVlUV+fj5Go5Hh4WG6urowmUzccsstahVpMePW39/Pr7/+ypw5c6KFcN0ezp07h2yUmTlzJrIsMzQ0RH9/P1lZWTgcDgYGBti4cSO5ubls3LiR0tJSva+MA7rA0pkwiDg9bYiJVjPRhudoCzE0NzezdetWgsEgr7zyilp3UauNaY3U2mVCWEH80E0UT9DG6SXzVBczlXv27OGDDz7g8ccfZ+XKlaSlpel9ZRzQYwl1JhRa4SQqwWhj97TbCUpKSrjvvvtwOp1cuHABRVFU4SZiArW/tXGBVyIxXlDskxiLKASacL+oqqpSq9fopB7dhqUzYUhWeupKQkr73Wq1Ul1djdFoJCcnRxUqidslO27iMRNdJq62n9C4jEYjK1asUIOudc1q/NCHhDqTHm0qGq1GNJ7vamI/EcNXwWSKz5tM6ENCnZsGrdbze7V9pZxUOqlBHxLqTHq07gKpcR8YXZuJGRhSVY5d58roAkvnpkD4G/2Wmk0yO5jO+KILLJ2bhmRplHVuLnQdVmdScSUNKjE3u87Nyf8BwFqbB55wPM8AAAAASUVORK5CYII=)
The correct answer is: ![200 blank J](data:image/png;base64,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)
Work done
area under
graph
= area of trapezium
area of trapezium ![C E F D](data:image/png;base64,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)
![equals fraction numerator 1 over denominator 2 end fraction cross times open parentheses 10 plus 15 close parentheses cross times 10 plus fraction numerator 1 over denominator 2 end fraction cross times left parenthesis 10 plus 20 right parenthesis cross times 5](data:image/png;base64,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)
![equals 125 plus 75 equals 200 blank J](data:image/png;base64,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)
Related Questions to study
physics-
A particle is acted upon by a force
which varies with position
as shown in figure. If the particle at
has kinetic energy of 25 J, then the kinetic energy of the particle at
is
![](data:image/png;base64,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)
A particle is acted upon by a force
which varies with position
as shown in figure. If the particle at
has kinetic energy of 25 J, then the kinetic energy of the particle at
is
![](data:image/png;base64,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)
physics-General
physics-
A vertical spring with force constant
is fixed on a table. A ball of mass
at a height
above the free upper end of the spring falls vertically on the spring so that the spring is compressed by a distance
. The net work done in the process is
![](data:image/png;base64,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)
A vertical spring with force constant
is fixed on a table. A ball of mass
at a height
above the free upper end of the spring falls vertically on the spring so that the spring is compressed by a distance
. The net work done in the process is
![](data:image/png;base64,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)
physics-General
physics-
Figure shows the
-
graph. Where
is the force applied and
is the distance covered
![](data:image/png;base64,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)
By the body along a straight line path. Given that
is in
and
in
, what is the work done?
Figure shows the
-
graph. Where
is the force applied and
is the distance covered
![](data:image/png;base64,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)
By the body along a straight line path. Given that
is in
and
in
, what is the work done?
physics-General
maths-
Range of function f(x) =
,
is given by -
Range of function f(x) =
,
is given by -
maths-General
physics-
A light inextensible string that goes over a smooth fixed pulley as shown in the figure connects two blocks of masses
and
. Taking
, find the work done (in joules) by the string on the block of mass
during the first second after the system is released from rest
![](data:image/png;base64,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)
A light inextensible string that goes over a smooth fixed pulley as shown in the figure connects two blocks of masses
and
. Taking
, find the work done (in joules) by the string on the block of mass
during the first second after the system is released from rest
![](data:image/png;base64,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)
physics-General
physics-
An object of mass
is tied to a string of length
and a variable horizontal force is applied on it which starts at zero and gradually increases until the string makes an angel
with the vertical. Work done by the force
is
![](data:image/png;base64,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)
An object of mass
is tied to a string of length
and a variable horizontal force is applied on it which starts at zero and gradually increases until the string makes an angel
with the vertical. Work done by the force
is
![](data:image/png;base64,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)
physics-General
physics-
A block of mass
kg sliding on a smooth horizontal surface with a velocity
meets the spring of spring constant
fixed at one end as shown in figure. The maximum compression of the spring and velocity of block as is returns to the original position respectively are
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARYAAACOCAYAAAD0DyfVAAANa0lEQVR4nO3dQWzb1h0G8M9D0eQyUO7FRxJKU+cUq2iA3kIacLajDQwOemgrFtjkHFZIxTb40GSi0Q5wTmbWk7IBktdbfLCDHm1AVG8bIljprUBt0+0lwYpKxi5JUYA7OHomZSuWnL9ESf5+gBFZfiZfYP8/8z2Sj2NBEAQgopHi+z583wcAGIYBwzD6uv9f9XVvRNQXpVIJ09PTmJ6eRqlU6vv+GSxEJI7BQkTiGCxEJI7BQkTiGCxEJI7BQkTiGCxEJI7BQkTiGCxEJI7BQkTiGCxEJO61uDtARL3l+z48zxPZViqVQiKROLUdg4VoxK2urmJ1dVVkW+VyGZZlndqOQyEiEscjFqIRp+u62HosnQyDAAYL0cizbRuO4/R1nxwKEZE4BgsRiWOwEJE4BgsRiWOwEJE4BgsRiWOwEJE4BgsRiWOwEJE4BgsRiWOwEJE4BgsRiWOwEJE4BgsRieOyCUQjzvM8sWUTbNvuaG0XBgvRiKtUKqhUKiLbsiyro2DhUIiIxPGIhWjEmabZ0QLYneh0iUsGC9GIsyyLS1MS0fBjsBCROAYLEYljsBCROAYLEYljsBCROAYLEYljsBCROAYLEYljsBCROAYLEYljsBCROAYLEYljsBCROAYL0YhbWlrC2NiYyIfneR3tk8FCROIYLEQkjsFCNOLy+TyCIBD56HSJSwYLEYljsBCROAYLEYljsBCROAYLEYljsBCROAYLEYljsBCROAZLjzUaB3jzrUl89vnn2N/fj7s7RH3BYOmxREKDef06Pvv8b7g8eQW/m7+Jytdfx90top5isPTBX+/cVq+/+uor3PjNb/HmW5P415dfotE4iLFnRL3BYOmC53lnutXcMAz8+uKFyLa+//57/P4PGVyenMSf/vwXDpNopDBYBkAiocXdBRKwsLCg/pjcuHEj7u7EisHSBcuyznRHaK32GP979jyyratXr+Kf/7iP/z59gju3b0PX9Zj+VySlUChgfHw87m4MhNfi7sB58PcvvlCvP3j/fXz44Qcwr1+PsUfUK+Pj46jX63F3I8L3/Y5XfjtNKpVCIpE4tR2DpccajQM8/uYb3Ln9KT7+48cc9lDfra6uYnV1VWRb5XK5ozVZOBTqsURCw6P//Bt3bt9mqJxDd+/ejUzkb21txd2lvuARC1EPZTIZrK2tYWZmBouLi7HMwei6DsMwRLbVyTAIYLAQ9Uy1WsXNmzexvLyM+fn52Pph2zYcx+nrPjkUIuqB3d1dXLt2Dbu7u6hWq3F3p+8YLK/g/v37xy6Ga33//v37MfeS4vLgwQMAh/Ms5y1cGCyvIJPJoFAoqM+brzOZDJaXl7G5uYlMJhNX9yhGyWQS8/PzWFxcBHB48dygnYbuJQbLK8pkMpiZmQGAyNFJvV5X79P50QyP5r/Ly8tIJpOoVqu4cePGuQkXTt4KmJ+fx9bWFqrVKra2tlCv1/HOO+/E3S3qs/BRSbVaxd27dzE+Po7d3V313rVr17CzsxNnN/uCRywCMpmMOo24traGarUa61kAikehUIjcyrG4uIhMJhN57zyECsBgEdOcS1lbW+P9InTuMViENIOlXq/zaIXOPc6xCEkmk5iZmcH4+DiSyWTc3SGKVSzB4vs+fN+PY9dnZhjGqZdFb25u9qk3RIMtlmAplUpYWlqKY9dnls/n+35ZNNGw4hwLEYmLfY5F8s5Lab7vcy1aojOIPVjiuPOyU47jDN2QjbpXq9WwsbEB4HBZgLm5ucgfO8/zUCqV1LygYRhwHCfSxvd9uK6LWq3Wtg0AtZ1arYZUKgXbtiNtGo2G2gaAjhZVGkSxBwtRXBqNBubm5lCpVCLvO44Dx3GQy+Vg2/ax1dcqlQpWV1dRLBZh2zZc18Unn3xyYpvm3JznebBtO3IE/PDhQywtLSGfzyOXy8FxHNy7dy+yHU3T4LoubNs+8/+zVCqJLU3pui5SqdTpDYMY5PP5AEAAIMjn83F0oSPD0k/qXr1eD6amptTP96QPXddf+nUAgWmaIm00TXvp14vFYlf/v/DvruRHuVzuaP+cvKVzyXVdPH78WH0+OzuLfD4feVpC+OjCNE2Uy2Wsr69H2oSPdnRdx/r6OtbX1zE1NXViG03TkM1msbKyEtnOwcFBZDumaULTjpYy/eijj4bqEg0OhejcaTQacF1XfZ5Op1EqlQAAuVwOly5dwk8//aS+/vbbb0eGEpZl4fLly/jxxx/VexMTE6jVamrpRsuycPXqVfzwww+qzeuvvw7P89RQwrbtY20uXbqE7777TvXTsiwVgI7jqH52I51Ov9JQKqyjYRAYLHQOlUoldYSg63qkWGu1WiRUAGB7exu+76tJ1lqtFgkVAHj69Cl831eF12g0IoEBAD///DMajYb6/KQ2Ozs78DwPlmUhkUjAdV1MT08DOFxt33XdjtedbTIMo++TwBwK0bkTPvrI5XKRr4WPZNq93+6oIdym3ZnOcJtO9mVZVmTIFD5jNMgYLHTutA5rwh4+fKheZ7NZ9bp5Orr1dbs24X2E24TfD7/O5/Mn9qG1j1Jnd3qNQyEaCd0c6ocnSsNzBuGi1XU9cvq3OZFbq9XU9zdPBTfbHBwcqKFOeOLXdV01/Do4OFDXsIQnj3O5HEqlkvq+5nAIQGT41Omp47gnersKloWFBbX8YjKZxPLyslo1a2ZmBg8ePMDCwgLW1tYAHK6s1lxQmKiXWq9FeVWGYSCRSEDX9UiohIu8GUqmaar9tw5VmmeHUqmUatN6EZymaUgkEjAM49Qrvff394fiavCuhkKFQkEtubi7u4t6va5WxNra2sIbb7yBarWqFpVeW1tTIUM0jFqviu1Wu4nWkwIqvK9w8HQ7WTsIuh4KNVdHSyaTx1agTyaTx5YOaK73SdRL5XI57i68snDYhMPEcZyuTxeXSiWx5zWfhegcy8zMDJLJJMOE+q5Xp1PDRw6GYZw4d/GyI5l2cx3ho5PwEOmkr3eyFlCruCd5OXlL9EL4KKFWq8H3/chEb2txVyoVNBqNyCRsa8Dt7++j0WhE5oBOCormjYkn9WUY8XQz0QupVEpdRn9wcBAZfjQnYQ3DiFxXMjc3p16H3w9f0h9uo2maChXTNNX7uVwucrap0ytcB1XXwdL6QKbwA5iar8NDofPygCYaDeEQCB9lhEMmfFTSrk277YTfD78OX7sSfn9odXPHZCaTidzpmMlkgmQyeew9tNwRubm52fbOy0G+a3hY+kly9vb2TrzzuF6vR9q03o3c2qZer5/YZm9v76VtAETanFXcv7tdn24OQg9fKhQK2NnZOfZe+PMgCPioURoahmGgWCyqIZGu6/A8LzLnYRgGXNdVbTRNw8bGRqRNIpHAxsZGpI3rupG5lUQiAc/zIm2KxeLArqjYDU7eErWwbRu2basrZM/axrIsdTFcuzapVOrUNsOIk7dEbXRS6P1sM0wYLEQjbmlpCWNjYyIfnV4fw2AhInEMFiISx2AhGnH5fP7YmdqzfnR66wSDhYjEMViISByDhYjEMViISByDhYjEMViISByDhYjEMViISByDhYjEMViISByDhYjEjb1Ywq6vPM9T64Dquj6wK2b5vq+eOmeaZs8eMUEkLVxj/f7dtSwLYzhcF5OISEQ+n+dQiIjkvZbP57v+Jtd11TNQJicn8d5773X1/b7vn/iEuCdPnuDbb79Vn7/77ru4ePFi1/1r9csvv+DRo0d4/vw5AGBiYgJXrlzpahvtnkYXPuS8cOECcrmcSJ+fPXsG13VVnyUPZzc2NtRDtjRNw61bt0T63Gg0cO/ePfX57Oys2JKLpVJJDUsnJiZw69Ytke36vh95FGk6nRYbmof7rOt6149JbadWq0UeF5LNZo894CzuoVBXj/8IgiAoFovijyoIgsNHIei6rrabTqdFthsE0UchtD6m4VW0Pr5B8jEL6XRabVfXdbE+tz7eolgsimw3CIJgdnZWbXdqakpsu+VyOdLncrkstm3TNNV2TdMU225rnWxvb4ttu5M6ifvxH10FC4s/atiLX9d1se2y+KP6VSft/rAPVbAMY/Fns9me9JnFH8XiP7KystKzo/pO62RogoXFH8XiP7K+vs7if6GXddLNH/ahCZZhLP7WoYqUUSh+yT6z+I/06qi+tU5WVlY67sfABssoFP/6+rrYtln8R3o5mT+Mxd+v+bzTDEWwsPiPsPiPsPijelUn29vbXf9hH/hgGcbi7+VQZdiLP5vNimw3CFj8Yb08qj9LnQx8sAx78c/Ozoptl8V/pJ+n8aX0q/gH4RqegQ4WFv8RFn8Ui/9IL+tkamrqTH/YBzpYwj8IyeJvnaeQKv4giP4genWGQrL4gyDoyzyF5AV89Xq9Z8UfDizJ4m+dp5As/vClB72cz+umTgY6WOr1uuqgZPEHwWHK67ouWvxBcNjndDotXvxBcHg0pOu6+A9qb28vSKfTosXfVCwWA03TRIs/CA77bJqmaPEHwdHvnKZposUfBIe/c6ZpihZ/EET7LHkNTxAc9nlqaqrrOok7WMaCIAhARCPFcRwsLS0BOFzGwHGcvu6fyyYQkTgGCxGJY7AQkbj/Ax1nbkoOp9PBAAAAAElFTkSuQmCC)
A block of mass
kg sliding on a smooth horizontal surface with a velocity
meets the spring of spring constant
fixed at one end as shown in figure. The maximum compression of the spring and velocity of block as is returns to the original position respectively are
![](data:image/png;base64,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)
physics-General
physics-
The relationship between the force F and position
of a body is as shown in figure. The work done in displacing the body from
to
m will be
![](data:image/png;base64,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)
The relationship between the force F and position
of a body is as shown in figure. The work done in displacing the body from
to
m will be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAW8AAAEjCAYAAAD9poADAAAZ9ElEQVR4nO3dP0/jWv7H8U9+2n7GPAGQeQCD5HS3ACRH2m5mC9PCNrDdzlZOB7dLqk25STOmJStdbrcSkYAeS5l+yWS6rXCm2Nq/grVFhvAnf30Ofr8kdGcckpzLhE+++fr4nEqapqkAAFb5v6IHAACYHuENABYivAHAQoQ3AFiI8AYACxHeAGAhwhsALER4A4CFCG8AsBDhDQAWIrwBwEKENwBYiPAGAAsR3gBgIcIbACxEeAOAhQhvALAQ4Q0AFiK8AcBChDcAWIjwBgALEd4AYCHCGwAsRHgDgIUI7xdUKhVdXV0VPQwAGEN4A4CFCG8AsBDhDQAWIrwBwEKENwBYiPAGAAsR3gBgIcIbACxEeAOAhQhvALAQ4Q0AFiK8AcBChDcAWIjwBgALEd4AYCHCGwAsRHgDgIUIbwCwEOENABYivAHAQoQ3AFiI8AYACxHeAGAhwhsALER4A4CFCG8AsBDhDQAWIrwBwELWhff5+XnRQwCAwlkV3lEUqdVqFT0MACicdeF9fX1d9DAAoHDWhHe/38+D++rqquDRAECxrAnvh+2S14R3kiSq1+uqVCqq1WoTv6fZbGpzczP/nsFgsLDxAsAy/aHoAbzGaDQaO1H5UngPBgNVq9Vnv6der6vZbCoMQzmOo2azqVqtppubGzmOs5BxA8CyWBHeURTpx48f+d9f6nu7rqvDw0OFYai1tbVHtw8GAzWbTQVBoEajkd9nb29PnU5HYRg+ev6f3zA2NjZ0cHAw6//SzK6uroxtG+3s7GhnZ6foYQClYEV4T5phcn5+rk+fPj15nyyUJ+l2u5Kkw8PD/FgQBJKkXq/3KLz7/b6Gw+HYsa2trZcHvgS7u7uSpA8fPuj9+/eFjGGSfr8vSYQ3sCLGh/fV1ZW+f/8+8fhz4f2cOI4lSZ7njR33PC+/7aFWq2VEKGUBKZkzpoxJYwHKwPgTlk/N656ndZAkiSQ96m07jpPfZiLmuAPIGB3ew+FQv//++8Tbvn79qtFotOIRFYurSwFkjA7vlyrNWavvrOL+ucpOkkSu6870mMuWnbT95ZdftL29bVS/G8DqGd3zPjg4yPva/X5ff/vb33R5eZnfvrGxMdPjep6nbrerOI7l+35+/Oe/mySKIu3v7yuKoqKHAsAARof3pBkdizgxFgSB6vW6ut1uHtbZDJRs1olJhsOhrq+v9fnzZ52cnEi6f2Ob9c0LmNdoNOLTX8GMDu9lyeaBdzodOY6TX6Tjed7Y9EFTtFotra+v69OnT/rTn/4k6f5NjPBGUT5//synwIKVMrwlqd1uy3EcdTodSZLv+2q32wWParIoivT58+eihwFIuv8keHp6SngX7M2Hd5qmT97WaDSevZjHBOfn5/rx40chV3MCk2StOxTL6NkmuK+6P378SIsERsiqbhTvzVfeNsvmuX/58iU/ls22KeryfJQbVbc5qLwNFkWR3r17N9YyyRZ/4kw/Vi2ruvf394seCkR4Gy2Koke97iy8H65zAqzCycmJ1tfXtbGxoQ8fPhQ9nNKjbWKobEGun2eZZMvhlm1pABQrq7q/fPmi4XDIJz8DUHkbKooibW9vc6ISRsiqbmY9mYPK20Cj0SivcoCiPay6YQ4qbwNlJypnXa8cWCSqbjNReRuo1Wrp06dPE/uKz110BCwaVbe5qLwN0+/3J56oBIpA1W0uwtswrVZLHz58ePIinEqlokqlYuwmxHg7sqqbC3PMRHgbZDQa6fz8nCoHRqDqNhs9b4OwCBVMQa/bfFTeBmm1Wtrf3+cCCBSOqtt8VN6GGA6H+vr164v7dm5vb0sSAY+l6ff7Oj09HdtyEOYhvA2R7Zbz0jZvnKjEsn3+/Fnb29tPvha5PN4MhLchoih61Vn9LLy3trb4BcLCXV1d6fr6+tmqezgcLmQvWcyHnrcBoijSjx8/XnVF5e7urnZ3d1lVEEtxcnLybNUNc1B5G4DdcmCC11TdMIc14b2zs/MmLw0fDoe6vr7Wb7/9VvRQUHJU3XaxJrzfqiiKtL6+ziJUKBRVt30I74JFUTRVcB8fH0sSLRYsFFW3fQjvAp2fn0+9CBXrTGDRqLrtRHgXaJbdcrLwPjg4oPrGQlB124nwLshoNNLvv/8+9doRv/76q6T7E7iEN+ZF1W0v5nkXJNsth7UjUCSqbntReRek1WoR3CgUVbfdqLwLcHV1pe/fvxPeKNSsVfdoNFrSiDANKu8CRFH07G45z8mqpFnuC2Tmqbpfs/ollm/l4b25uanBYPDo+O3trVzXXfVwVm40Gs21yD29SSwCvW77rTS8kyTRYDCQ7/vyfX/stpeCO45jOY4zdcD3ej15nifHcaYe7zKcn5/r3bt3M19RWalUJN1X4PziYRb0ut+Glfa84ziWJAVBoDAMx75eul+1Ws0r9qOjI1UqFTWbzYnfX6lUdHR0JElqNpva29tb4P/FfFqtlj59+sRyrigMVffbUEh4T1s91+t1BUHwqFqv1+sTWzAPNRoN9Xo99Xq9sePVajXfiT37qtVqU41rWv1+X1+/fuVEJQqTVd1cqWu/lbZNsqD1PO/V94njWL1eTxcXF2PHHcdRkiTa29vTzc3Nk/f3PE++76vZbI6F/6T2zbJ77q/dLQdYloODA+3v7/MafANWGt5Z5d3pdPJjjuPo8PDwyft0u105jvOo6pbuq+p6va5ms/ls68X3fdXrdSVJkod+kiQKguDZ51608/PzuSse9rDErKIo0vfv36m634hCwrter+fHfN9/NkDjOJ5YqSdJojAM1el08rbKU5VzFvxxHMv3/fwTwCpnt2S75czbMmEPS8zq5ORE+/v7LKvwRqwsvLPgDsNQjUZjqvs9F+7tdlu1Wu3Z9kkW0lloZ/+N41hJksjzvKUHeRRF2t/fn7tiNnEPy9FopNFopH/84x/Gv7mYPr5loep+e1YW3rP0uyXlrY6nZJV7p9N5sn2S3T9JkrGxPPwEEASB2u32xOf6/Pnzo6Dc2tp69YUK2W450yz9+pTd3V1JZk0VzE7EStJf/vKXgkcz2XA41OnpadHDKAxV99uz8sp72vB+jWxGSbPZVBAEL37/4eFhHvKDwUD1el3dbleu6078VLC1tfXoRT/NL0F2orIMu+WYWtldXV2VNryput+mlYb3LBfZuK774nRAx3HUaDS0t7ener3+6Dmyijurqh9W167r6uzsTJubm+p0OhPD++DgYK4qN4qihVTdwCyout+mlc3zfurE40teE97SfdsjCAJ1u91H3/+aqt913TzkF+n8/HwhJyqBWSy66n54zgXFWlnlfXd3N9P9sml+r9Fut9Xr9R6FcFb1PxXeg8FAvV5v4nTEeUVRpI8fPy6s6jFxD8uNjY18XDDLsqpuU06Wl5nxqwoGQZD3pF/qZzuOo3a7/ehy+E6nM3bfarUq3/fzarvT6eStl0UaDocz7ZbzHBP7lhsbG0aOq+zodb9xqQWCIEg9z5vpvmdnZ6mk9Pb2Nj92eHiYuq6bSkodx0mDIBi7/SFJ6eXl5UzPfXx8nL57926m+z73mMfHx+m3b98W+rjz+PbtWz4uU11eXqaWvNwXZn19Pd3f31/oY5bx52gqK/4Vbm9vU8dx0na7PfV9XddNwzCc+bnnCe/19fX0r3/968zP/dR45hnTMmS/0Cb/UpctdL58+ZJKWvibfNl+jiYzvm0i3Z9MnLVnfnt7u+DRvE62Ww6zTFAEZpi8fWyDtiRRFGl7e5tfHqxcGXvdOzs7j1YJLfpr2ayovG0z7245wDzKWnXv7++Xakou4b0EURTNtVvOc0zcw3Jra4tdWQxRxqo7s7GxYcySEatAeC/BMnfLMfHF+f79eyPHVUZlrbrLiJ73gvX7/aWeqNzZ2dHOzo76/f5SHn8W/X4/HxeKU+aqu4yovBes1Wrpw4cPS2trXF9fS7rvq5tiNBrl40IxRqORTk5OdHx8TNVdElTeCzQajXR+fl6qkyYwQ6vV0mg0WvrU1OFwqHfv3i31OfA6hPcCsQgVijAajdRqtSauO79ow+HQqJPlZUZ4L1Cr1VrIbjnANLJNQbggrFzoeS/IcDjU169fX727zqzSNF3q489iZ2fHyHGVwSqrbpiF8F6QbLecMs64GI1G+eyXMv7/F4mqu7xomyzIqnbLyS69NWkj3X6/r93d3Xx/TawGVXe5Ed4LEEWRfvz4UYo9KmEOqu5yI7wXYNG75QAvoeoGPe85DYdDXV9f67fffit6KCgRqm4Q3nOKokjr6+sra5mwhyWouiER3nOLomilvW4T161gD8vVouqGRHjP5fz8fOW75WQheXBwYEz1PRwOFUWRJDPfXN4Sqm5kCO85FLFbzq+//irpfj61SeGdjYvwXq6iq26TFkQrO2abzGg0Gun3339nHROsjAlVd7b8L4pHeM8o2y2H8MaqFF11wyyE94xarRbBjZUxoeqGWeh5z+Dq6krfv38vJLzZw7KcqLrxM8J7BlEULXW3nOeY2G9kD8vlourGJLRNpjQajXR6elpYBcQeluWThTYzefAQlfeUzs/P9e7du8IWoWIPy3IZDoc6PT3Vly9fih4KDEPlPaVWq6VPnz7x8RUrcXJyovX1dU6O4xEq7yn0+/2V7JYDSFTdeB6V9xTKvFsOVo+qG8+h8p7C+fl54SeNTNwrkj0sF4+qGy+h8n6lbLccqiCsAlU3XlL68E6SREdHR1pbW9Pa2pqOjo6UJMmj74uiSPv7+4WfqDRxD8urq6t8XJhfVnUX/Slvkuvra2MWRCu70rdN9vb2FMexwjBUkiRqNptKkkRnZ2f59/znP//R9fU1V7dhJUyvuglvM5Q6vLvdrnq9ntrttg4PDyXdV+KdTkdxHMvzPEnSP//5z5XuloPyoteN1yp126TT6UiSgiDIj2V/7vV6+bF//etfxlZBeFtMr7phjlJX3oPBQK7rynGc/FhWbcdxnB/773//a8wv0/b2tiQV3nt/6P379/m4MDuqbkyj9OHt+/7YsSzIH560/OWXX4zp85l0ojKztbVl5LhsQ9WNaZQ6vF8yHA4lSf/+97+5MMdy2VowJv87Xl9fW3ERmImrG379+lXD4fDNFBEHBwcvvomXOrxd1300LTD7+8NWyh//+EdjKm/MZjgc6uvXr8YG43A41PX1tfFVt6k/P1PHNavX5E0lLfGlcbVaTb1eb+zqwF6vp1qtpkajoTAMValUdHl5+eZeHGVzdXWl3d1dY68ENX18ME+pZ5tkM0uyWSfS/fRBSY964UDRkiTR2toaF0NBUsnD+/DwUJ7nqV6vq9lsql6vq9Pp5McBkzx19e+yVavV/Ara7KtWq618HM/pdrva29vT5uamjo6Oih7OSpQ6vCXp4uJCvu/nwR2GodrtdtHDskIcx9rb28urwawNZYNs7Jubm6pUKqpWq2OfwEzT6/XU7Xbluu7KnzubldVoNPKv7KI2E+zt7eVXSgdBMHbdxpuW4lmS0svLy6KHYSTXdVPXddMwDNMwDFPHcVJJ6c3NTdFDe+Ty8jJ9+HJvt9up67ppo9FI2+126nleKik9OzszYnw/8zwv9X0/PTw8fPb7Fu3u7i6VlLbb7ZU95zTCMEwlpWEYFj2UMcfHx+nHjx+Xmh2E9wtMCu+7u7v8xer7ftHDeRTSFxcXqaT08PCwoBE97edwvLu7S+/u7vK/397eFvpzfS68G41GKim9vb1deXjf3NykktKLi4uVPedrZW8sJvwu/Oz4+DiVlEpK19fX0y9fvqRJkiz0OUrfNrHFYDDQ5uamUR/tfz4vkJ3kHQwGRQxnKo7jjE0HLaId8RrZYmlhGBbWMpHu20zdbteof9vsd6HRaORtJZPGl/n+/bv+/Oc/a2NjQwcHB/n1I/Mq9Txvm7iuq8PDQ4VhqLW1taKHM1H2i2NqED4n69WbNssoO/kWhmEhz5/9m9br9fxYEARqt9tjb35F6Ha7chxHR0dHY8tZhGGoRqMx12MPh0NFUTTz/SddLPTjxw+dnp7q9PRU29vb+vz581yL3RHeFpn3Bblskxb6MtlgMFCv19NgMFCn05Hv+0adiMuqybOzs8KCMisYpPufV71ez0+cFv16HAwGSpJEQRDo4uJC0v2bXbPZlOd5c70OR6PRXFdrvlRdX19f51fUHhwczHbV6kKbMG+QDOp5Z2Rgny/rjZo2rsyknvLZ2Vnel5SUNhqNgkY3eXy+74+N7+evosbrum7qOE4hz/2QpNTzvLFjWR88CIKCRnXvYc/7ua/t7e30+Pg4/fbt29TPQeWNuSVJor29PbmuO7aJhemCIFCapvka7vV6XUmSFF5RZsIwfFQ9PlyDvqhrEVzXNWJK6KT23KSF5Uyyvb2tnZ2d/GsehDfmkiSJqtWqkiTRzc1N4X3QWTiOozAM1e121el0jAnvSf33rLdbVHsnazWZcG7A9311Op18aWfJvHMXHz58yIN60Zu5EN6Y2cPgPjs7s/JE5UNJklj55rNM1WpVvu/ni7h1Oh05jmPEG1z2hlur1fI3s2azmZ/cL9LMfewpEN6YSdYqya6+i+P40Rl/k9VqNbmum7cesmlmpl9d2263VzpGz/Pyn43jOPmVlia8Ubuuq5ubm3x5C+m+4jZhJswqViElvDGTXq+Xf0R9+OeM6eHteZ56vV5eSXqep7OzM2tmyqyK6W9mtp1nWSTCGzPJTvbZyoSP/Q9dXV3pw4cPRQ8DFuEKS8AQpu1OA7NReVvI5ooXwGJQeQOAhQhvALAQ4Q0AFiK8AcBChDcAWIjwBoAZxXE89wYQvV5vpoW0CG8AmEEcx6pWq3OHd7PZ1N7e3tT3I7wBYAb1el1BEMy9gmG2jdu0y+wS3gAwpTiO1ev1FrJ6oed58n0/X1zrtQhvAPjJYDBQpVIZa2fEcZwfy/bPfFh112o11Wo1dTodbW5uqlKp5HuQdrtdVatVVSoVbW5uqtvtjj2f7/tT974JbwD4ieu6CoJA3W5XSZLkSyB7nqd2u604jifuZBTH8Vg7pdPpqFar6ejoSJ7nKQzD/LEetkmyN4GHyyq/hLVNAGCCh7srZVXxxcWFHMdRHMcTWybZ92RhvLa2pl6vN3bM933VajV1u938WLY++jQnPwlvAJgg60XX63VJ0sXFRR6yz+269LCVkq0b//BY9ueHQT3L3pu0TQDgCVlrZBGzShaN8AaACXq9nprNphzHeXQy0XXdued3P5Q99jTbtxHeAPCTwWCgvb29fE/MJEnGZogsOryzE5WTToI+hfAGgAeSJFGtVpPjOPm+po7jjM3Dzqb2LUocx/leqq9FeAMGGI1GRQ8B/3N0dKTBYKCzs7O8jRGGoQaDQR7Y2UbVP8/XnlWn05l+8+u0xDzPSyWNffm+P/Y9ktLLy8uCRohFuby8TE1+uW9vb6fHx8dFDwNTCIIg9Txv7sc5OztLJaW3t7dT3a/UUwUHg4F83x87i5xNBQKA5zQaDVWrVXU6nbkuk6/X6wrDcOrsKW14Z1dNBUGwkPUJAJSL67q6u7ub+3Fub29nul9pe97ZmWIqbQA2Kn14x3Gsbrf77LSf3d1dVSqVsa+dnZ1VDRUAHilt2yQL6+zSV+n+DHK73X40Uf7vf/+7tra2xo69f/9++YMEgCe8+fCO43hspS7HcfI+dxiGku6DvF6vq9vtynVdNRqNscfY2tqi0gZglDcf3r1eb6y6lqQ0Tceqa9d1dXZ2ps3NTXU6nUfhDQCmefM97zAMlabp2NdTXNedaSNQAFi1N195v1Z29ZRpK4dhsSqVStFDeBKtOUyjtOFdrVbl+35ebXc6HTmOQ8vkjdra2tLl5WXRw3jWxsZG0UOARUob3p7n5VMEs73oGo0G877fqPfv31PZ4k0pbXi32+2ihwAAM3vzJywB4C0ivAHAQoQ3AFiI8AYACxHeAGAhwhsALER4A4CFCG8AsBDhDQAWIrwBwEKENwBYiPAGAAsR3gBgIcIbACxEeAOAhQhvALAQ4Q0AFiK8AcBChDcAWIjwBgALEd4AYCHCGwAsRHgDgIUIbwCwEOENABYivAHAQoQ3AFiI8AYACxHeAGAhwhsALER4A4CFShPezWZTa2trqlQqT96+ubmpSqWiWq2mwWCw4hECwOv9oegBrEK1WlUcx3IcZ+Lt9XpdzWZTYRjKcRw1m03VajXd3NyseKQA8DqlqLyDINDt7a08z3t022AwULPZVBAEajQaCsNQ7XZbg8FAnU6ngNECwMtKUXmHYfjkbd1uV5J0eHiYHwuCQJLU6/WWOzAAmFEpKu/nxHEsSY+qcs/z8tsAwDSlD+8kSSTpUT/ccZz8NgAwzZtpm8RxPFYpO46Ttz8A4K15M+Hd6/VUr9fHjqVp+uL9soo7SZKx6jtJErmuy5RBAEaqpK9JuDeiVqup1+uNhXqz2VS9XtfFxYV838+PVyoV+b6vXq+n/f19bWxsjD3WxsaGDg4OVjZ2AHio9D3vrLWSzTp5+Ofstn6/r6urq7Gvfr+/+sECwP+UvvKWpKOjI3U6nbGLdFzX1c3NjSqVii4vL7Wzs1PQqAHgsTfT855Hu92W4zj5RTm+76vdbhc8KgB4Wqkq71lQeQMwUel73gBgI8IbACxEeAOAhQhvALAQ4Q0AFiK8AcBChDcAWIjwBgALEd4AYCHCGwAsRHgDgIUIbwCwEOENABYivAHAQoQ3AFiI8AYACxHeAGAhwhsALER4A4CFCG8AsBDhDQAWIrwBwEKENwBYiPAGAAsR3gBgIcIbACz0h6IHYLo0TYseAgA8QuUNABYivAHAQoQ3AFiI8AYACxHeAGAhwhsALER4A4CFCG8AsBDhDQAWIrwBwEKENwBYiPAGAAsR3gBgIcIbACxEeAOAhf4fZa72IQx/ZNAAAAAASUVORK5CYII=)
physics-General
physics-
Three objects
and
are kept in a straight line on a frictionless horizontal surface. These have masses
and
respectively. The object
moves towards
with a speed
and makes an elastic collision with it. Thereafter,
makes completely inelastic collision with
. All motions occur on the same straight line. Find the final speed (in
) of the object ![C](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAANCAYAAACdKY9CAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIZJREFUeNpjYMAOlIC4C4gvAPE3IH4IxM1ALIhNcQkQbwFiWyBmgorJAnEBEM9HV1wOxLMZiARqQHwXiFmI1dADtZZocA2IVYhVDPLcD1JMZwPiTwwkgi9AzEWKhrnQOCAayAPxOyCuRIpRDiD2gRrmgk0TKJQWQv3zH4g/APEaIPZiIBcAAHu0FfN1Pu0WAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5DPC9taT48L21hdGg+Ib62qQAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
Three objects
and
are kept in a straight line on a frictionless horizontal surface. These have masses
and
respectively. The object
moves towards
with a speed
and makes an elastic collision with it. Thereafter,
makes completely inelastic collision with
. All motions occur on the same straight line. Find the final speed (in
) of the object ![C](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAANCAYAAACdKY9CAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIZJREFUeNpjYMAOlIC4C4gvAPE3IH4IxM1ALIhNcQkQbwFiWyBmgorJAnEBEM9HV1wOxLMZiARqQHwXiFmI1dADtZZocA2IVYhVDPLcD1JMZwPiTwwkgi9AzEWKhrnQOCAayAPxOyCuRIpRDiD2gRrmgk0TKJQWQv3zH4g/APEaIPZiIBcAAHu0FfN1Pu0WAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5DPC9taT48L21hdGg+Ib62qQAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
physics-General
physics-
The relation between the displacement
of an object produced by the application of the variable force
is represented by a graph shown in the figure. If the object undergoes a displacement from
to
the work done will be approximately equal to
![](data:image/png;base64,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)
The relation between the displacement
of an object produced by the application of the variable force
is represented by a graph shown in the figure. If the object undergoes a displacement from
to
the work done will be approximately equal to
![](data:image/png;base64,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)
physics-General
physics-
In the given curved road, if particle is released from
then
![](data:image/png;base64,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)
In the given curved road, if particle is released from
then
![](data:image/png;base64,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)
physics-General
physics-
A body of mass
slides down a curved track which is quadrant of a circle of radius
. All the surfaces are frictionless. If the body starts from rest, its speed at the bottom of the track is
![](data:image/png;base64,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)
A body of mass
slides down a curved track which is quadrant of a circle of radius
. All the surfaces are frictionless. If the body starts from rest, its speed at the bottom of the track is
![](data:image/png;base64,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)
physics-General
physics-
A 10 kg brick moves along an
-axis. Its acceleration as a function of its position is shown in figure. What is the net work performed on the brick by the force causing the acceleration as the brick moves from
to
m?
![](data:image/png;base64,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)
A 10 kg brick moves along an
-axis. Its acceleration as a function of its position is shown in figure. What is the net work performed on the brick by the force causing the acceleration as the brick moves from
to
m?
![](data:image/png;base64,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)
physics-General
physics-
Force
on a particle moving in a straight line varies with distance
as shown in the figure. The work done on the particle during its displacement of ![12 blank m](data:image/png;base64,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)
![](data:image/png;base64,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)
Force
on a particle moving in a straight line varies with distance
as shown in the figure. The work done on the particle during its displacement of ![12 blank m](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACgAAAANCAYAAADbnyzoAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAQFJREFUeNpjYEAFakBcC8QXGLADayBeA8SfgPgXVF00Ax3BYiBOA+L/OOQPAnEkEPNA+VpAfBQqRlfwnwS18kB8aTA7EAR+EKGmHojLgVgciCcB8Usgfg7EXlB5QSDuA+J30CRUSS0HWkKjmRBYBXXkGWiSYIGG/n0gloQmn3CouCzU0+KUOpADiE9CMw8hcAuI90JDChk8BeLZOMQlKXEgyMANQOxGhFomIP4GxFwkipMdxUpQx6kQGdLmQLyfCuJEOVADGiVcJKRTUJqbTwVxgg4UhyZ2FhJz+SRo+UqpOEEHboGGIKlgHVJxQok42GHomJD8fyLS7DtojqdUfPABAFbuSUKJI/faAAAAY3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbj4xMjwvbW4+PG1pPiYjeEEwOzwvbWk+PG1pPm08L21pPjwvbWF0aD4tMHU9AAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
physics-General
physics-
The potential energy of a system is represented in the first figure. The force acting on the system will be represented by
![](data:image/png;base64,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)
The potential energy of a system is represented in the first figure. The force acting on the system will be represented by
![](data:image/png;base64,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)
physics-General