Physics
General
Easy
Question
A granophyre record is revolving with an angular velocity
. A coin is placed at a distance r from the center of the record. The coefficient of static is. The coin will revolve if
The correct answer is: ![r less than g over omega squared](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADcAAAAjCAYAAAAwnJLLAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAU2v5G4wAAAfNJREFUeNrdmUFEREEYx8d6kmRJp72uZA8dlpU8WWtJsoekW4dOXVY6pEundOqSJCtdOiQdIumQrC5ZSbd0SIfsJUmSyErWWrH9R99jvGb12re7vW/+/A7v89T+zbz5/jMjRDDVBVbBK6iAQ7AJFgVzWeCcjFjEAvgEE9zNLYEVTb0IItzNPYNeVy0EPrgbS4ALTX0IFLibmwR7mvoU2OFubhzsa+rS8Ax3c2HwAuL0HKc28ARSwgDJ0XsAVXAFRqnfhYSBGqgzVduqYWq+fhQDW0o/GwSXVPelZUoFWZoOFY9xxzF1Bmyfv6Eb5KinlUGeRs63DujDXQNRD+/bTTTVchWpzxhlyok3ZY/v1ijI/lW1NtJwvLHp3QKXkWsk3jjTM/Amcz7iTZLCbmBNHoGMz7+RrJPo/11voJNJYnEWjSo1+D4TY5lc4WfBtTBYFVONpZqQZwOpCH1zUdOM9YMTYcBpmG7E8rRrD7SOf2n8I3TMoCrfjP1dqyWP8U5dtQ2QVp5l7733EMADp206L1F1A3qU5w7wzrEBy1RkKTVL/DxVlhciJW7mEpotlm7bZdOmmJXkbY37RGtOU5sH69zMZahPqd/WrWtXEaJajJs5aeaRpmeYlvss1dK0Su4KxpeNCVodS8qZzJj4vsK6A9N+/8EXgOaB6FHFCB0AAACWdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnI8L21pPjxtbz4mbHQ7PC9tbz48bWZyYWM+PG1pPmc8L21pPjxtc3VwPjxtaT4mI3gzQzk7PC9taT48bW4+MjwvbW4+PC9tc3VwPjwvbWZyYWM+PC9tYXRoPpqhrGEAAAAASUVORK5CYII=)
Related Questions to study
General
A shell of mass 200g is ejected from a gun of mass 4 kg by an explosion that generates 1.05KJ of energy. The initial velocity of the shall is
A shell of mass 200g is ejected from a gun of mass 4 kg by an explosion that generates 1.05KJ of energy. The initial velocity of the shall is
GeneralGeneral
chemistry-
The oxidation states of S atoms in
from left to right respectively are
![](data:image/png;base64,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)
The oxidation states of S atoms in
from left to right respectively are
![](data:image/png;base64,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)
chemistry-General
General
A 0.5 kg ball moving with a speed of 12ms- 1strikes a hand wall at an angle of 300 with the wall. It is reflected with the same speed and at the same angle. If the ball is in contact with the wall for. 0.025 s the average force acting on the wall is
A 0.5 kg ball moving with a speed of 12ms- 1strikes a hand wall at an angle of 300 with the wall. It is reflected with the same speed and at the same angle. If the ball is in contact with the wall for. 0.025 s the average force acting on the wall is
GeneralGeneral
maths-
Two forces, each numerically equal to 5 N, are acting as shown in the fig. Then the resultant is -
![](data:image/png;base64,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)
Two forces, each numerically equal to 5 N, are acting as shown in the fig. Then the resultant is -
![](data:image/png;base64,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)
maths-General
physics
Two masses M and M/2 are joined to gether by means of light inexcusable string passed aver Z, fiction pulley as shown in fig. When the bigger mass is rekasod, the small and will ascend with an acceleration
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)
Two masses M and M/2 are joined to gether by means of light inexcusable string passed aver Z, fiction pulley as shown in fig. When the bigger mass is rekasod, the small and will ascend with an acceleration
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)
physicsGeneral
biology
Mark the correct sequence -
Mark the correct sequence -
biologyGeneral
physics
Two bodies of equal masses revolve in circular orbits of radii R1 and R2 will the same period Their centripetal forces are in the ratio.
Two bodies of equal masses revolve in circular orbits of radii R1 and R2 will the same period Their centripetal forces are in the ratio.
physicsGeneral
physics
A given object takes n times more lime to slide down 450 roagh inclin a practly smooth incline. The cofficient of kinetic function between the object and the incline is
A given object takes n times more lime to slide down 450 roagh inclin a practly smooth incline. The cofficient of kinetic function between the object and the incline is
physicsGeneral
physics
A car travelling at a speed of 30kmh is bought to a halt in 8 metros by applying brakes. If the same car is travelling at 60kh it can be bought to a halt with the same breaking power in
A car travelling at a speed of 30kmh is bought to a halt in 8 metros by applying brakes. If the same car is travelling at 60kh it can be bought to a halt with the same breaking power in
physicsGeneral
physics
A 7 kg object is subject to two forces (in newton)
30j and
The magnitade of resulting acceleration in ms-2 will be
A 7 kg object is subject to two forces (in newton)
30j and
The magnitade of resulting acceleration in ms-2 will be
physicsGeneral
physics
A block of mass 4 kg is placed on a rough horizontal plane. A time dependent force F=Kt2 acts on a block, when
of friction between the block and the plane at t=2s is.....
A block of mass 4 kg is placed on a rough horizontal plane. A time dependent force F=Kt2 acts on a block, when
of friction between the block and the plane at t=2s is.....
physicsGeneral
physics
A particle of mass 2 kg is initially at rest. A force acts on it whose magnitude changes with time. The force time graph is shown below The velocity of the particle after 10s is
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)
A particle of mass 2 kg is initially at rest. A force acts on it whose magnitude changes with time. The force time graph is shown below The velocity of the particle after 10s is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALYAAABsCAYAAADHVUhNAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABw2SURBVHhe7Z15VNRXlse/tUBVsS+yCbKj4oYLKtEsbhGTmI6JZjFLZzHdSXdPOt1nTveke06n+4+c0z1JOpPpM5nOOpPFpLVdYoxxAxVFRUFQjCAg+2IBshcUWy3z7uOHElGoFQp9H48H6tWPX/2q6vt779777rtPZmZAMOYYdFqUn9iBnaeb0A0NAmJmYMbMmZiVEI5QHxVk0nG3DWYjzA2nsH17Jooa9DD7hCMyYQbmzJmOuKgg+Cqk4yxECHs8MbajpqAAVW2AOjQeCbHB8FVKz92m9DcWo6iiEa0mX4RExyIuzAu2fCRC2IJbkuuEbYbJYEB/v4F+g8HInpK7QaV2h1IuGzI8mmHo7UafUQY3jQZu9AQbSgyGfva3ZsjkcijcVHCzcvgQCBzFdcI2oaelGtVlVajpcoOvlzuM/e4ImTEVYb5qqOgQswG9+nZcabgCXVsz2lVsCI0JRqCHHq3V1ai8rIMiOAyBGn8EBnlCpRx6Q9wck8nEf8rZTSEQ2Mt1KpJDLauFtmg/3vxSi4joyfCtzUNBvQ5N/QNHdNaW4mLGUVzSxCLSdBBv/PR1/N+RYjTBE2huR1tJEa4ET0L/mS04WNqF1r6BvxuJ7p4e1NbWorKyUmoRCOxjePeoVEDBzAuN2hOBk3zge8da3BPljzA39pyZGfbl57CnMBCLw5TwCJ+OR1bLkPHZXnybWYv+SQHw9fGDt8YNEYs8cPKLw2jXtg+cdwTKS0uxY/t2HEpLl1oEAvsYLmy5AnJTL3oun0fWka3YdaYbPX2ygQNritFSXooqzxh4MLNFpnCD/6JXsCmpBqUn9uLTg1fg4ePOzAkllP4xUF06AZmeufyjkJubiy+/2IwzOTnoYb23QGAvw4XNDGKZ0h3uvmGYEpuEefFeULtLVrKuA706Hbo9fAYey+SQecZhyYaNuNu7CpXpW/FVYT+YWQ2z3Bee+gYojCPbIi3NzSi4UID6+npUVVVh/9590jMCge0MF3ZnO5rrGtDUrYRXVDJSZvnDSy0d5uMNN29PuHd2sAf96NJWoqy8Eu3Bi7B8TQoWRhpRW94MI3tWJtND7x4Ak5xsmJtzWatFQGAAFi1aBG8fH7S0tMBopDMIBLYzTNgmsze8/aORnOiFzi4K7A0hbCqCIuMQpy9DK+va+wz+8PMywNBjgHvcGqQ+9QwenR8KbyZt45UK9E2/AyYPX+mPb0xAQADuvucerF6TiqSkJCy9aylEaF1gL1ZP0LSWF6IwtxBuazZgoTe3XIZh7m1Ha8527JE/jDVJAQj2lJ64CdRLH8/MhI6ZOU89/bTUKhDYznBTZBT8Y2ORfF8KPKsb0Huje8LcB0OfDrV+a/BYit+ooiaMBgNMzPwQJojAUVgtbEANlVcEEhODoZbdoL+WucPNKxyzZkyGWky2CMYJq5XX0dGB0kulkMtvZIRIMMGP+LxA4GSsEnZfXx9OHD+BLVu2SC0CgWtilbCrKqtw5PBh5ObkQKvViuiFwGWxStj5+fk4lZWFtrY2fPftHiFsgctisbDJDGlubuKRC5JzYWEhent7B54UCFwMi4XddOUKnx185sfPIDYmBg+sXYuuzs6r6aYCgSthsbAnh4dj3vz5WJSSgtlJSVi5aiUmBQWJ/GmBS2K1KuUyGUXzBAKXxmphc39R+IwCF0fYEYJbEiFswS2JELbglkQIW3BLIoQtuCURwhbcklgtbJPJiP5+qciIQOCiWC3s4OAQzF+wQHokELgm1gs7JBjJycnSI4HANbFa2CqVCr5+I688FwjGG+E8Cm5JnC9s5mwaDEYYTdcSTMwmw0CJYoHASThd2D3a8zh75jwKqtthYI/N/Xq0leci51Ir9H0il1vgHJwobNYj16Xh6/25yPjyTfz9/Y/x1vYcNJ/djP/KUEN9/G/4IkeL6m7AXUF5sDLIFaJSvMAxOHerjo46VOvc4K7bi2+OdeN8NvBQ3AVkLfsLfm16C79NX4RnNy7HrLA+pKcd4WsqQ0PDYDabsGzZcpw/fx5XrlxhJzIjJCQEiYmJyDyWCZlMhn5DPxYtWozOzk4UFhRAoVTC3c2Nl0vLyjqJrs4uZv4YERcbh7DJk3Hi+HEo2TG04ifljjtQW1ODqupqKNnNRM5w0ty5OHn8BD+vQq5AwrSp/Of58/lwY+fVaDSYPWcOii4W8UKaKrWKXVMogoODcTYvj5ecUKvc+WvNnTePvY/Qgc9AMC44V9hkadCYULcfhwu6kJmtR1j5QRj+/AV+3vsOnnjdE5t+sQ4LZ6iQceAwKiqrsGTJEr6uMi4+DtrLWnR1dfJTeXl7I4SJqLy8nIvIZDQhMnIKenv70NBQz1fyKBRKxMbGoqqqkrfTWwsMDISPjw8qKyv4MSZm60dFR6G9rR2tra28Ta1RYzITZGVFJZ+AohsnKCgYMrmMX4NCIefiDg0Lw5XGRnTp9XBjN4mXlze7Li/U1dZBrVZjx7ZtuHz5MtY/ugFrH3yQX7dgfHCusAljCyrPFKDVfzJ6GqtR8NHH6P7Ll3il+01s/PMkbHr5R0iepkBGWgYTcdeErd1HuzHs3fMdCi5cYDdAKO5/4AEsEPH+ccOpzqO5swbn927D/gItSuvN8DF2I2RmIJoK61BX1IaQxDj4BfpAznpfWpozUWv30aLmr3fsRELCVNy9bBlrkSEvN4/33oLxwanOY3/1Qfzzu1zkZOzFgZ3bsbdEj7iHlsG7MBdnSgKwdPUsREW6w9Q/cYtRUgkK2omBbPD4hHj4+/sxO/9uxDJTavs/t4m8mnHC+abI9dDL9bajDX7wVXFzmdut5Nx16HT48bPPSgdODMgE+du77+KPf/oTNB4euFxXB/+AAN6Lp6WlcRv/vvvvZ3a6iPiMJU6PYw+DlKz2ha964NeJDG0tQibI0888w3dj6OntQXFxMapZO5WruOeeZTiVdQoVFRXc2RWMHWMvbI5lez+6Mu3t7SguKuYmyJykJB5dMRqM0HXooNfr+TFTIqfgiY0b8QlzmJtbmnmbYGwYJ2FPfPLP5fP4+Y/WPcTj44TZZEZvXy8MBppjBTc/pidOR8odKaxn34HGhgbeLnA+Qtg28P3336OsrBQzZ83i8e9BKJadOGMGwiMipBZw0d+7ejX6mBOZl5fH64sLnI8QtpVQrJ3KKHswR3Hlvauk1gHIHPH08OSpvUOhY1NTU/nkUv65c1KrwJkIYVvJ4UOHoGI9c/LChbzc21DIts7NPTMwO3odCVOnIjIyiu8GQftaCpyLELYV0H7vJMro6BjExcVJrdegqXgyPW4W2lv74Frem9PNIUwS5yKEbSGUPPX39/6HT74sXLRQah0OnxUYYWrgIeZs0pT7Rx98KLUInIEQtgUY+g34eudOzJo9i5sUg1GQ6/H08uTCn56YKLUMx9PLi68ZpbWj/9yyVWoVOBoh7FEws566trYG55jTt/TOOxEUFCQ9M5yenh4eAiSTZSRiYmMxb948lJWXobioiGchChyLEPYoUD449dbLV6xAeHi41HpjaAlcQ0MjOtrbpZabQz0/3Sg7d+zk6bMCxyKEPQLk4OXm5vK5/2XLlo2a70ExEqVSYdFKIHIiU1JSMGnSJOzft4/PZAochxD2CFy4cAEXCwvx2OOP8xj1aCjdlHxFja+Pj9QyMu7u7jzPhPJLKM2VTBmBYxDCvgmlpaUoLyvjob3RTJBBqBeOjonhe/NYisZDw8Wdffo0zp09K7UK7EUI+wZQaC/z6DFmHnTgkQ3rpdbRoXWWp0+dRhm7KawhISEB06ZNY6PDRVy8eFFqFdiDEPYN+MdX/+Cmx7p166QWa7AtwrHukYf5QmLKS+/U6aRWga0IYV9HEesx29vaEBsXh/AIy0yQQeQKOXx9ffmCA1t4ZP16Pnu5efNmqUVgK2Mi7J7ubvb/2i6+xqYSFDcMpHYSrhLFpTWX33zzDRN1LBYkW19RlpxBsscD/P2lFuugCAmVhiBx79r5tdQqsAWnC9vcfAy7dx9BRl4Te6RDR/kxfHOqBc2nd+NYeQc6TICSrkI2kL88nnyzaxf8mShp4QBl5FkLLTSgfeapPIOtzJgxA/PmzUdRURFfyCCwDeevedR+hH99swWhSQ/iN+uMyN72Gbb4vIpXze/gv7s24qn7kxGnaUH64WN8xm7FipWs5zQgICCA2ZwG6Lv0fEGsWq2CDxvmyf7s6enl9T8o+kAOW0trCzw9PUfM0bg5Axl6nV2d2L3rG7z08kt8ZtAWWppbeEw6KiYaS5culVqth97jcWZrFxYU4oVNL8DPxhHgdmYMFvNm4G9vV8AvaiHum9GE3e98jI4/bsavDG/i6f8IwqaXHkTyNCUOHziMs2fPISAwkAuUkvipWE59fT37ojtZewBiY+NQU1PNBUSrVGj2LicnByXFxbj77rttWhFOTmKXvgtll0qx9kcPInXNGr5gwBbaWtuQkXEEEVMikJx880QpS6DJoQ/f/wDTp0/H8hXLeY6JwHLGQNiH8O5bVQiImYdVCY3Y/uZmuP/n5/hp97t48o8abPrFw1iYqELGwcOs1+ziMV1LoZUsW/+xhWfL/csrr0it1kOzfrQu8YUXN8HPz09qtR5ahEC5IrQynZxPe9Gxnvv3r/0Ozz3/HC/BdrPkK8FwxsB5HBjqzSYVPDReCJ4kR1uLCebWDngEh0LNbFm5eWAFN8WPrSHrZBYaGhrsrpNnYD09vTY5j/be5Y7sJci8+uWrv8T2bdtw4cL3UqvAEpwv7KY61JcXo6S6CabJU5DywCw079mPfQc6MXt1EiJivGHus75gTmbmMR5FoEKRcpl9b4MKWgYFB0HBzBI2hEmt1tPf14/amlo0NztmRTqZSfEJCbhjyRJkn8rmEzgCy3C+sH1W4SevvojnH50Nb88wRNyxES/dn4CEtT/FY4sjEOnBBDGkKLylZB7N5HkZq1NXIzo2Rmq1DRriqZorH+qvW+5lDdTr9/R084W7joJCf6tTU3nl2LzcXLS2iExAS3C+sN3DEDc9AfFR/nCTuUHpHYH4GbGIm5mAcG83UIDPWl3T7BwJkSqyUi/Z1EShRNshR7ShvgEGO2sHulOuSHT0iDnbtkDOLImbHMqDBw9IrYKRGAMb+0Yo2b9rWNNHUq28Q4cOIXlhMsLCwlBXV4s6NvzbA62Q0Wq1XOD2+NJyuYzbxerrVqk7AlpjmTQ3CdrLl3E046jUKrgZ4yRs2yDhUZleEk/ElCm8zc3NnWfI2QNNhVM0hCaIaOi3FQo3UoVVZy0cWLJ0KZ88OnL40KirdG53JpSw25hgvt29Gw8/8sjVsBzlZkwKnMR/txWaCicTgoq72wPV5yNzQd/dLbU4Hqq5TaUfvvj8c3Q78XUmOhNG2H3MBKmproFKpeb5GIPT72R/8llHO6AwH81eGtmIYNvs5TUoknF9vRFHQjcyCZtuxvS0NLE44SZMGGHX1NRg//59fMcD+lIHqa/XoqKyQnpkG0OdR3tkTavUFy9OQXx8vNTiHChu/+RTT+HA/gN8QcRELZjvTCaEsKlXItvVw8OTVzAdagf3M8evr69PemQbvJgkGxG442hHZ0vXeelSCU8DcDYUFXph0yZ8/umnN6w8dbszIYRN09S0/vCBB9dKLdcICprETJNrRSBtgTZXoogDLe2yp8AxZffR5Iyuc2BDKGdCJs/ceXP5DmXpB9NQIcT9A1xe2JTLTVvX0S5dNxri3d1V0NiYtDQI9dSOKMxO5yGzZqxMAxI37U5GBecpGYxSZgUDuLywz5zJ5T3g0rvuklp+SEdHu91T2GTKXLp0if8022Flu7m78RLCgQEBUovzoa3+Vq5cxXNmjmdmSq0ClxY29XxFRRehVLrxzUtvBG1g2tZuX09FPa0jNkEip5YmUoKZ/TuWzEmag5iYGJQUl+CsWOnOcWlhZxw5wle0jLRMi/I77I0/kzNKohxwSm23sWlRBPWaVLZsrCGThMRNm6iK4jsuLuyc7Bwu7JHCZ3HsOZqNswcvT0+sXLWSLwezIyjCIbtXxv6PB7QgYd78+fjrW29LLbcvLits2uV22vRpvN7GSNTV1aG8tEx6ZBu0RvF45nG7Z/IGnEcjc0THJ65MS8gWLEjmWY9bt2yxOr/9VsK1hC3Fpw1GA/fyqTceup/LjaDh394i6iQAOgf9tMd59PD0wOKUxfy6xwvaJ37lqlXIZU43hUlv18kblxE2yYmGceLIoSOYOm0qIkYRNUHhNSo0YxfsxbmoaYLGdl0PxLGbmrhDO16Qn5AwNQGrmLh3bNvOR7TbEZcRNnfcmLBo3eDJEyd4iV2yr0cjJCQYkZGR0iPbcFe58zJj1xxI26DZSwob1mu1Usv4QA71vamr4evnh0NpaWMyE+pquIywqbfmi2EvFCBschi3Ey0RGYmfjrUHNyXFn8MHVtDYgUwu47OXSjujNI6APrtNP3kR5eUVfHfg2y0T0OHCHpx9sxbK1mtsbET6oXSs37CBC8QSiotLkJubJz2yDSq/QMn7tOsXN0dshN4DZd95amwrceZovL29sf7RDbw8xTEXXpxgq2ZGwqHCJkeFlmlZG8el3qW3pwfd+m7e+1KxHEtNAoVCfjWF1Vbolai35q9p4eveCLoZyaQJCbNv1bwjmTt3LmJiY/h3cj4/X2p1Leh7p+JAjnR0HSJsutuysrLw+9dew2u/+S1zoKyb4qYijq1UGqyrk9cVsVTUBAlSaaewaa0imUIDSVC2Q/kmVOvE1Ry2Rx97DMGhIdi7d++YJGhZi75bj48/+gi/+NnPeamJlpYW6RnbsbtgzqWSEnZRH/MtLag0F0UXKF+YKjkR105Ov1HunAxyJROi0QATvbRMzntrcrjIDqQtm3n7aLBjSNS0DItyPKh8wkDc1jpp0j00uCCYyjnQLCaJnD4Wfj4LbzI6iq6D9qzx8vLi5+rrH0yntfZ2MQ98Tuw66CannuxaGNKac5mhkCv4ebTay+jo0PEtsiksSW0UxbHtvI5i4PqoMNCZnBy+0IM6OfJ3Nj75FK9AMDT33hrsFnYru7toRy3aNP9sXh5Pxpm/YAFS16Ty54eeXU7VJ416XLlUDWPMLIQoDbwgZVNLK7MDi3hUYdmKFXxx7WjQXi9dXXoubI2GVtVEoLOT6kpb/wWReOgmMRj6mVmj5IlVcvaBazQaq2xulcodRnYzVFVWsffSw/NGrP90B25Yora2jo9iVFuEBEDXZ837IxONahKSc6xSD4xKNKromU9RXVODxOmJ/HRUMMiWz80RUEdSV1vLe2zyT2bNno2ZM2cyDc1HVHS0zWamw0qc0QQHDcMN9fXsC43n+c3D6G1HY0E2CpQhMDWYMXtFEoLZdXcxQR49eoyf44mNG6WDR4Z60xI2WlCSPf0d9URUv89eTp8+zYdC2q7O2gpTdFOTA0zCpOuhL8oWKC5fVlrGelZPXsSnrKyMXw85g9ZAJuJ7772HNffdh2lTp/I2Gplo1Q2tGaXrXbx4sc21Ch0FjdS7du5ko24w3yPTkvmL0XCY80jpk1RhlIqX0+TKcLpR8/1J7P7qKBr8fND43UfYk1eHenZb9VORGdZb01BuKfSlULoq3dG0vQV9gfZCq3QOHDjAyztUVVVJrZZBEZWtW7di//79/KazVdQEre0ke5ji+XSuw4cPo7KyUnrWcigZ6oMPPri6tw11Alu2bOE3CtUXfP/99wd2RRtn6MZ64sknsereex0iasKhUZFBaAgfTjUut5Qjqz4GSyInY/Hkcpwu0OEy8zOVCuuHQYpf042UmprKZ9lolbmt0KBFSfrZ2dk84Yp6amscWBLf0aNH+e5fU6ZM4TaxPcu1qJOgHnXHjh1IS0vjkQ1b6hOSeOn9DC52pskjunHvlDZiJdOP6qk4ImXXHuiztubztgSnCPvG9MDAnMQemQZqswkKNyNzGo1MBPTGpEOsYHD4pN6HJnaeZHe8rZDzQgKiout0U9IXbU1clYRNOyGQiGjvxt27d+ONN96wyj4fCjmeK5ivQaHDTz/9lNuh5JDaAl3bUOjxYBuFVWmUvBUnb8ZQ2L7QePoiUN6GVrMcbR0eCA5RgTYOuO6ztxiyZ6mnJUEl2ZG6SiIme33Xrl349ttvkZ6ezv0F6tEsgXobGkHIrqbqVJSRSD0imTa2kJ+fz02Il19+mZs3n3zyCU8Ks4WhvSFdIzm0g+E0WvlPJhONELcaij8xpN+djB80hj5omk/jpM6ESyUqLFm7BHNCPdDX2YWq6mr0st6D6kBbAjl57777LrdF8/LyuK1Iq2xo2LV2WKOQ0mzmjdPm/dTL0uNFixaNmAc+FHo9EjTF8gnqEWmiiXpvW6AbjZw8qvZEvSrdYPPnz+c9uTWQjf3hhx9yM43eG5km9Pns2bOHx+zpdzJLLMnJmWg4LCpiCebeLnTUV6O6WwYzvBEVGwJfdyWPf2dmZqKD/Xz88celo0eGvnhy8GgopaGaxDiVef72evgUPiTThGxca3oyEiM5ePQ3g/FnEpIt0HuiXpXKOZCwydQi8Vn73ug8tFSM7HOy/em6KHxYWVmFoOAQ9oUY+XmpTNytxpgK+ypkv0qx2lJmAuSyHpe2XKZ0z4cfeRjLli+/GssVOAsDGyFp1pbi3fTYxL4WI7uZzMyen/hCH0MbewhDRNvGhsuTJ07iIPPWKZeBakALHEkn9HoDeq66C2ZmbnWitrAY9R16GK8qQA6lqQvdV0pQWNdjw8SSazE+wh4CrbAOD58MPRtuadhduvRO0Vs7DDN6K44g81Qhvq+RQnpGJt6aUziQ1QqTSgGTQY/O5gY0t3ai0yCDxlSHo/uyUavvZ3247ZBTr+Mrm8bnDhl3YVPBm+nTEzElMpLPPC29607pGYH99KBi52fYticdGdUd7BGTWXsj6vZtQ9Hk+QhQG3E57wRO7PsaGafP4kKnL9TBMxF67jOkabvRIimbrNXBMKEl/4ljR4/yySraXoR8hLGOlY+7sImZs2fh2eeew72rV0stAsegQXxMBGJnJyEyPBDkeup0epzNaUBAlBIqZTEyD55Fdb8fImZORRh7Xi5TInpSA3K/70FHF53DhPa2dtTV1kF7WWvR/8aGRv43X23+Ei889zx+92+vISc7mzvYY8X4OI/XQW+Y8j3op72rYQQ/pH/Hr/B25zokLFmGDQnMRKjIx+4//B7a13fiZ1NVUFcdwdefbsVJ/TTMe/7XeC6qAYXv/BhvR3+Gf18bijjvPmSdykV+/jmLM+0oSkU1Yai31nXo4B/gjxUrV/IKsfEJ8Tw642xcQtiD0KVYG4MWjMK+V/Fq+mT4LnkCv1kfBbW2GGfeex277vsCf1hUjOxdpdCWZKHeJxqKpJ/gV8ntOP76S0hf/yFenB+ICJWZdTo6bk5YWveb8tv/9+NP+LbZNLewZOkSvgNFYAAbNTTqMfmOXUrYAifQeBqZFwFlcDzmJTJh9TTiytlteK94JV55TI2WUh1PbVX4B8MzMBRTmHny+V9PYMYrmzA3xAO2LnKjDEKanwgNC7Mpz8VehLBvO/ph7KnBqSMNCFnAbO9AJcxGBeRuCrihFY2lhcjWhmPFkkh4ULL8BEUI+3alowpVfcEI8tMwAVODGf16HVrr26GKnQLbk25dAeD/AUvCOApLCXj6AAAAAElFTkSuQmCC)
physicsGeneral
physics-
For the figure
![](data:image/png;base64,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)
For the figure
![](data:image/png;base64,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)
physics-General
physics
A solid sphere of mass 2 kg is resting inside a cube as shown in the figure. The cube is moving with a velocity
Here is the time in second. All surfaces are smooth. The sphere is at rest with respect to the cube. what is the total force exerted by the sphere on the cube(g=10ms-2)
![](data:image/png;base64,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)
A solid sphere of mass 2 kg is resting inside a cube as shown in the figure. The cube is moving with a velocity
Here is the time in second. All surfaces are smooth. The sphere is at rest with respect to the cube. what is the total force exerted by the sphere on the cube(g=10ms-2)
![](data:image/png;base64,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)
physicsGeneral
physics-
A projectile A is the thrown at an angle of
to the horizontal from point P. At the same time, another projectile B is thrown with velocity
upwards from the point Q vertically below the highest point. For B to collide with A,
should be-
![](data:image/png;base64,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)
A projectile A is the thrown at an angle of
to the horizontal from point P. At the same time, another projectile B is thrown with velocity
upwards from the point Q vertically below the highest point. For B to collide with A,
should be-
![](data:image/png;base64,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)
physics-General