Physics
General
Easy
Question
An artificial satellite moving in a circular orbit around earth has a total (kinetic + potential energy) E0, its potential energy is
- -E0
- 1.5E0
- 2E0
- E0
The correct answer is: 2E0
Related Questions to study
physics-
In the above triangle
and
Find the value of angle
.
![](data:image/png;base64,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)
In the above triangle
and
Find the value of angle
.
![](data:image/png;base64,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)
physics-General
physics
A body of mass m is taken from earth surface to the height h equal to radius of earth, the, increase in potential energy will be
A body of mass m is taken from earth surface to the height h equal to radius of earth, the, increase in potential energy will be
physicsGeneral
physics
If the radius of the earth were to shrink by 1% its mass remaing the same, the accelration due, to gravity on the earth's surface would
If the radius of the earth were to shrink by 1% its mass remaing the same, the accelration due, to gravity on the earth's surface would
physicsGeneral
maths-
Conserve the following statements:
A: Angle between ![2 ı with not stretchy bar on top minus m ȷ with not stretchy bar on top plus 3 m k with not stretchy bar on top text and end text left parenthesis 1 plus m right parenthesis ı with not stretchy bar on top minus 2 m ȷ with not stretchy bar on top plus k with not stretchy bar on top text is acute end text not stretchy rightwards double arrow m not an element of open square brackets negative 2 comma negative 1 half close square brackets](data:image/png;base64,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)
![text R: If end text left parenthesis a with not stretchy bar on top comma b with not stretchy bar on top right parenthesis text is acute then end text a with not stretchy bar on top times b with not stretchy bar on top greater than 0 text If end text left parenthesis a with not stretchy bar on top comma b with not stretchy bar on top right parenthesis text is obtuse then end text a with not stretchy bar on top times b with not stretchy bar on top less than 0](data:image/png;base64,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)
Conserve the following statements:
A: Angle between ![2 ı with not stretchy bar on top minus m ȷ with not stretchy bar on top plus 3 m k with not stretchy bar on top text and end text left parenthesis 1 plus m right parenthesis ı with not stretchy bar on top minus 2 m ȷ with not stretchy bar on top plus k with not stretchy bar on top text is acute end text not stretchy rightwards double arrow m not an element of open square brackets negative 2 comma negative 1 half close square brackets](data:image/png;base64,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)
![text R: If end text left parenthesis a with not stretchy bar on top comma b with not stretchy bar on top right parenthesis text is acute then end text a with not stretchy bar on top times b with not stretchy bar on top greater than 0 text If end text left parenthesis a with not stretchy bar on top comma b with not stretchy bar on top right parenthesis text is obtuse then end text a with not stretchy bar on top times b with not stretchy bar on top less than 0](data:image/png;base64,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)
maths-General
physics
Suppose the gravitational force varies inversely as the nth power of distance the time period of planet in circular orbit of radius R around the sun will be proportional to
Suppose the gravitational force varies inversely as the nth power of distance the time period of planet in circular orbit of radius R around the sun will be proportional to
physicsGeneral
physics-
and
Find ![vertical line stack A with rightwards arrow on top plus 2 stack B with minus on top vertical line](data:image/png;base64,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)
and
Find ![vertical line stack A with rightwards arrow on top plus 2 stack B with minus on top vertical line](data:image/png;base64,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)
physics-General
physics
A thin uniform annular disc (See figure) of mass M has outer radius 4R and inner radius 3R. The work required to take a unit mass from point on its axix to infinity is....
A thin uniform annular disc (See figure) of mass M has outer radius 4R and inner radius 3R. The work required to take a unit mass from point on its axix to infinity is....
physicsGeneral
chemistry-
Aluminium chloride exists as dimer,
in solid state as well as in solution of non-polar solvents such as benzene. When dissolved in water, it gives
Aluminium chloride exists as dimer,
in solid state as well as in solution of non-polar solvents such as benzene. When dissolved in water, it gives
chemistry-General
chemistry-
Which of the following is a non-metal.</strong
Which of the following is a non-metal.</strong
chemistry-General
physics
What does not change in the field of central force
What does not change in the field of central force
physicsGeneral
physics
If r denotes the distance between the sun and the earth, then the angular momentum of the earth around the sun is proportional to
If r denotes the distance between the sun and the earth, then the angular momentum of the earth around the sun is proportional to
physicsGeneral
physics-
Which from the following is a scalar ?
Which from the following is a scalar ?
physics-General
physics-
In the above figure
and
are two vectors. What from followings is true
![](data:image/png;base64,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)
In the above figure
and
are two vectors. What from followings is true
![](data:image/png;base64,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)
physics-General
physics-
As shown in figure, the block of 2 kg at one end and the other of 3 kg at the other end of a light string are connected. It the system remains stationary find the magnitude and direction of the frictional force, ![open parentheses g equals 10 text end text m s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
As shown in figure, the block of 2 kg at one end and the other of 3 kg at the other end of a light string are connected. It the system remains stationary find the magnitude and direction of the frictional force, ![open parentheses g equals 10 text end text m s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPcAAADGCAYAAAAOqhZbAAAXpklEQVR4nO2dT4gi6fnHv4bApmGIOgR2CQwaO5eQgw01h2WzoAs2OWpIqkNO2kxwIBDsPSk5RPsSbAhp52iTxJpTdpWguWVpgzZhDwGlq3PZJMQZJZfNxXKWheye3t+hf/VOlVbbltY/y+cDglVW1fv27nzq/f+8AcYYA0EQvuMrbmeAIAh7ILkJwqeQ3AThU0hugvApJDdB+BSSmyB8ylfdzgDhDzqdDvr9PmRZxtXV1Z3XxeNxHBwcIJlMIpPJIBQKOZjL3SJA49zEuozHY9RqNUiShFevXq31jHQ6jZOTEySTSYtzR5DchGlmsxkqlQqePXu29LpIJIJoNIrZbIabm5ul1yYSCdRqNRwcHFiZ1Z2G5CZM0el0kMvlFkrqYDCITCaDZDKJZDKJaDS6cO9sNoMsy+h0Ouh0OphMJgvXFAoF1Go12/K/UzCCWJFCocAA6D6RSIQ1Go21ntfr9VgikVh4ZjweZ4qiWJz73YPkJlYim83qBAwGg+z8/NySZ/d6PRaPxxdeGtfX15Y8f1chuYl7mRc7Ho+zly9fWp7OfM0gGAzaks6uQHITS5kXLpvN2lplbjQaVEW3CJKbuJN2u70gthPMC+5Uun6DessJQ2azGaLRKO8Vj8fj6Pf7jk06qVQqOD095cftdhuZTMaRtP0CyU0Y8qMf/Qh//OMfAdwOc8mybDi8ZSfJZJLPdotEIhiPx46mv+3Q3HJigV//+tdcbOC2FHVabACQJIl/n0wmumPifqjkJnRIkoTj42N+HAwGMZvNXMuPtnpOpbc5qOQmOPNiA8CvfvUrl3Jzy8nJCf8+mUzQ6XRczM12QXITAIzF/vrXv46f/exnpp81m81Qq9X4VNRkMomTk5O1St1QKIRsNsuPSW4TuNlVT3iD+aEnbDAE1W63WTAYNHweAFYoFNZ6JjQz14jVILl3nHmxHzx4wL+bnTN+10vCipeG9n6atbYaVC3fYear4vF4HJ9//jk/NrPGejab6drHy3j+/Lnpnu94PM6/U6faapDcO4qR2P1+X3eNmeEvswEbzC7r1OZFlmVT9+4qJPcOcpfY2hIxEomYeqbZjq77gjfMow3i4ObQ3DZBcu8Yd4kdCoV00rgxaWUZ2hcPVctXg+TeIZaJPY/XSkeS2zwk946witjaDrRNqs2rYLba/8UXX5i6niC5dwIzJbYWM6X3qj3lKrlcztT1n376Kf/utSaDVyG5fY5ZsbVDTmZ6pWezGd54442Vro1EIqZfBlq5v/a1r5m6d1chuX3MOiW2tnq9ag+4LMtIJpP48ssv7702Eomg0+mYWhcuy7Lu2W+99dbK9+4yJLdPWbcqrm13ryL3bDZDMpnUjXH//Oc/19UAAODNN99EuVyGLMum2+e01HNN3J4iR1jPJnHIFEXR3dvr9ZZeOx+1VDtlVRu2eNlz7iMSiejSKJfLaz9rl6CS22esW2KrhEIhpNNpflypVAyvU0tsba96o9Ew3VF2H5IkGW5eQNwPye0jNhVbRdvZdXV1tTAt1SmxgbtfLsT9kNw+wSqxgdt2dyKR4Mda2Z0Wm0rt9SG5fYCVYqtoF3bc3NxwwTOZjE7sbDZri9j9fl8X/VT7siFWg+TecuwQG7gdEisUCvz42bNnePfdd3V7b2ezWVt6smVZ1oUxjsfjePvtty1Px++Q3FuMXWKr1Go13ZDWxx9/zL/bKbZ2aC0YDEKSJJq4sgYk95Zit9gq/X4fDx480J2Lx+O2iN3v9xfGzGnP7vUhubcQp8QGbjvTtNFZgNs2eDKZtGx11mw2Q6VSwXvvvacT266Oul2B5N4ynBS7Vqvh+fPn/Hhvb49/v7q6wre+9S1UKpWNlodKkoSDgwNd51kwGCSxLYDk3iKcFFuSJLz//vu6tD755BNdmGEAOD09RTgcRi6XMzUX/eTkBNFoFMfHx7rhLvVvIrEtwO0pcsRqOLm17X1ptdvthSmh89en02ndNT/84Q9ZIpFYGvZ42bTScrlM009NQnJvAV4Se/7aZZKv8gkGgyybzd4brpjkNg/J7XHcFDsYDK6UVrvdZtlsdmXRg8EgS6fTrNForPy3kNzm+aoVVXvCHpxsY6vtYJVgMLhyWplMhk86GY/HGI/HkGUZtVqNt6fVmWyhUIiGthyC5PYoTos9P3Gk3++vJWE0GkU0GkUymUSn0+Fy53I5U5scEJtDveUeZFvFJrwFye0xSGzCKkhuD+Gm2MBtWCUS2z+Q3B7BSbFnsxlyudzCVE9qE/sLktsDOC22U8EWCHchuV1mXuxIJEJiE5ZAcrvIvNjBYNB0TO9VIbF3D5LbJYzEtrOnel7sQqFAYvscktsFnBY7l8stxD3Txkgj/AnJ7TBuiK1dk21XeCTCe5DcDkJiE05CcjsEiU04DcntAE6LXalUdGLH43FqY+8gJLfNOC22JEm6eGR2ToghvA3JbSNuiO3UTDfC+5DcNkFiE25DctsAiU14AZLbYpwWu9/vL6QnSRKJTfhL7uFwiMPDQ9fSd1rs+Q3zKNgCocU3cqtii6LoSvpuiE1RVIhl+ELui4sLHB4eQlEUPH36FKVSydH0SWzCi2y93BcXF1AUBYPBgJfaZ2dnuLi4cCR9t8UGQGIThmy93KVSCbFYDLFYDM1mE/l8HgCgKIrtaTst9mw2QyaTWQiPRGITRmy13N1ul1fFVZnr9TpisRjC4bCtabshdjKZ1G2aR8EWiGVspdzD4RAAIAgCgNtS+vDwUHc+n89DURSUSiU8fPhQ9wLYFLfEpigqhCnc3s9oGdPpdOHcYDBgxWKRHxeLRd0+VIIgsOl0yqbTKRMEQfdbtVrdOE9G+2ldX19v/Ny7UBSFxeNxXZqNRsO29KwkkUjwPPd6vY2eRXuFmcezJffFxQX29/d5aQy8Hu7SVrmr1SoGgwGq1SouLy95p5q2JK9Wq6hWq7pnrYMXSuxyuUwlNrEabr9djKjX6/wtHQ6H2WAwYIwxNhqN2Gg0urMEvry8ZOFwmMVisYV7m80mq9fra+fJ6RKbMcay2awuzWw2a2t6VkMlt7t4suROpVKoVqsA9O1ptVf8rraz2gZ/8eIFAKDZbEIQBCiKgm63y3vSzeJ0iQ1QsAXCAtx+uyzjrhJcPZdKpVixWGTVapVdXl6yZrPJBoMBu7y8ZIIgMMZuS3tRFA3b76tAJfb6UMntLp6WmzFjwbX/8LWffD7PGGP8GkEQ7hT7+vqaFQqFpWmT2JtBcruL5+VmbFHwfD7Pms0mq1arLJVK6cTW3tNsNg2fp+2BTiQSTFGUhWu8IHYikbA1Pbshud1lK+Rm7O4qOmPM1BCX0dBSPB7XCe6G2PNpzudpGyG53WVr5GZsUXC1rW2G+dJR/UQiEXZ9fU1iWwjJ7S5fXaMPzhK63S5arRYAQBRFpFKpe+9Re7vV2WYvXrxAsVhcOc2TkxNdD3QikcDV1RUAYDKZ4J133sH//vc//rsTveIURYWwDTfeKNoSWP2YGYMuFosLbez7mC8d0+m04XlQiW0ZVHK7i+Nyj0YjQ5nC4fDKw1V3dZTdRa/XWypRu91mwWBQd83p6ampNMzSbrcXXiYvX760NU2nIbndxfFJLOoEk2q1iul0imaziXA4DEVReDX9PsxEW5kPRWS0/3Umk0G/30cwGOTnyuUyTk5OVk7HDLIs66aQqtX/aDRqS3rEbuLKDDVBEFAsFhEOhyGKIprNJgD9GmwrVnCpc7O1EUvu2v/64OAA/X4f8Xicn3v27Jnl87gpigrhFI7LnUqlFjrPUqkURFFEt9vl59QIK+syLzYAdDqdpRIZCf78+XMcHBxgNputnRcVEptwEldKbqM53vPCD4dDHB0drZ3G/J7UjUYDyWTy3vtCoRD6/T7S6TQ/d3Nzg2QyuZHgJDbhNK7IHYvFFs6piz6A26GuVquFbre7Viy0XC6HP/3pT/y4UCiYql6HQiF0Oh1ks1l+7ubmBtFoFLIsm86PUS2iVquR2ISteGZVmCr306dPudCCIJgOVSxJ0sJqqnV3uJQkCeVymR+/evUKyWTSlOBGYlMUFcIR3O6u16KuwwZeR1Qxg9G4sRUYjYWvEg1lm6OoWAENhbmLZ0pu4HV1XRAEXF5emgpyKMuybuhKnellBblcDu12WzdUdnx8vHR9NcU9I9zGU3ID64k9Ho8XOqus3i/LaCz8+PjYUFYSm/ACnpI7n8+bFns+lredvdB3DZXNS5vJZHRiZ7NZEptwHE/JLYqi6Xjj8yLZ3Qt931h4Lpfji1EACo9EuIen5DbLvEjn5+eOlJB3jYXv7+9T3DPCM2yt3JVKZUEku+aCG2E0Fj6dTnX5IbEJN9lKuSVJwunpKT9OJBKuiSRJEh48eKA79+jRIxKbcJ2tk1uW5YXgBp1Ox7X8/OAHP8Dnn3/Oj/f29vDXv/7VtfwQhMpWya3Oz1ZRe8bdilry05/+VPdi2dvbwyeffIJIJOJKfghCy9bIbbR9rdti/+53v+PHJDbhNVyLoWaW8Xi8sCqrVqu50rYlsVfj008/5d8lSdpoxqD23n6/j0qlsvK9uVxuNwNhuD3/1QwvX768Nyyx3Tx58kSXfiAQYOPx2LH0t4lQKHTnBhJOfjad176tbE21HACi0Sj6/T4SiQQ/p661Xmcpplk+/PBD/P73v+fHgUAAf/jDH6jEJjxJgDHG3M7EOsxvlGd38IMPP/wQP/nJT6D+51LF/vGPf2xLen4gHA7zptT3v/99vP32246lLUkSJpMJAKDX660UqMN3uFxz2Ih1l2Ka5YMPPmCBQEBXFf/ggw8sT8dvaKvl5+fnjqZt5XLTbWWrquXz3LUU08qZalRiE9vKVssNGC/FVKOWbhrUcF5sAPjNb35DYhNbwdbLDdyu1BqPxwsrtTYJajiZTHB8fKwT+8mTJ47OXyeITfCF3MDrlVpWBDWcTCb4zne+o9s37MmTJ/jtb39rWX4Jwm58IzdwK7gkSSgUCvycGtRw1fnnJLb/URQFT58+RSAQQCAQwNHR0dIY+RcXF/zaQCDgYE43xOUOPdtYpyd9PB6zvb093T1PnjxxKMf+w4u95dPplAmCsPBv476NJUVR5NduC74qubXkcjn0er2VYp6pzJfYBwcHVGL7jFarhWq1CsYYBoMBD8qp3e3GCLMRgryAb+UGgGQyaRgSyaij7dvf/rZO7P39fVxfXzuWV8IZ8vk8391GEAQeL3+V/eG3DV/LDRjHPLu6ukIymcR4PAZwK/ZoNOK/7+/v49///rfjeSWcpVQqodVqQRRFVKtVU/d2u11dO/zs7AzA7S62R0dHut/Uz+HhoR1/xt243S5wkmw2u7An9qNHj3Tn9vf33c6mb/Bim1tFuwEGAFatVpc+L5/PL7S58/k8E0WRDQaDhecWi0U2nU5ZOBxeeL5T+7D7vuTWYrQ90H/+8x9+TCX27jAajXSldalUurfdraIoCg4PDxEOh9FsNnnVvtvt8v3nU6kUwuEwr+5r97z7xS9+YdWfsZSdkhu4DazYaDTwxhtv6M7v7e3hL3/5i0u5ItygWCxiMBjw4+FwuNJ9jx8/RrfbXfllAOg75P71r3/p+nfsYufkVvnyyy/5dwq2sLsIgoBisWjqnnq9jnA4jOFwyNvawG1prS3FFUXhLwzthpbvvPMO9vb2LMj9cnZObkmSdAEWHz58SGLvCIqiYH9/f6FjSy1VV91RNpVKoV6vAwDOzs50Jf7l5SWKxSLOzs7w8OFDAECz2dS9QEql0kZ/x6rslNzzYsfjcYxGIxJ7R1AUBS9evEC328Xh4SE/vri4QL1eN9w3Xnuv9rsoisjn87z9rQo+HA4xHA7BGANjDKPRaOGl8c1vftOeP3AeR7rtPIDR9r5OhmfaRbzYW16v13X/DkRRZJeXl0ufNX9PKpVio9FoYZbbaDTivePzH1EUTW9JvSk7IXev11sYAru+vnY7W77Hi3LbzV1y4/+Hxxhj7LPPPnMkL76vlsuyjEwmw4/tDsdE7DZqW9wIdZhMu3GlnfhabnUTAye29yWI4XCIo6Mj1Ot13uZmjGE6nSIWi/G297vvvutIfnwrN4lNOI0gCKhWq7rlpOqS0mq1unJvvFVszaYEZpgXGwCJTThCsVg0PW5uF74ruY22HWo0GiQ2sXP4Su7ZbIZkMsnjVQO3Yi9bw00QfsU31XJVbG1PJIntHf785z9vHI3WDOpy3l3GF3KT2N7no48+wkcffeR2NnaKra+WG4ldLpdJbGLn2fqS++TkRCd2Nps1tb0rYR9vvvkmr4pns1nXttHdye17seVyz28GmM1mXdmvmzDmrbfewj//+U8At/+vdnIzPhfZ2mo5iU0Qy9lKuUlsgrifrZN7XuxEIkFiE4QBWyW3JEk6sePx+MrbBBHErrE1chtFUen3+wiFQi7miiC8y1bITWIThHk8LzeJTRDr4Wm5O52OTuxgMIhOp0NiE8QKeFZuWZZ1U0jVYAu7OtuIIMziSbkpigpBbI7n5CaxCcIaPCU3iU0Q1uEZudWlm9rwSLVajcQmiDXxhNxGYlOwBYLYDNflpigqBGEPrspNYhOEfbgmN4lNEPbimtyZTGYhPBKJTRDW4YrcuVwOV1dX/JiCLRCE9TguN0VRIQhncFRuEpsgnMMxuefFTqfTJDZB2IgjctdqtYXwSCQ2QdiL7XJLkoT333+fH1OwBYJwBlvlpigqBOEetslNYhOEu9gi97zY6tJNEpsgnMNyuWVZxsnJCT9+8OABiU0QLmCp3PPBFtZBURQ8ffoUgUAAgUAAR0dHUBRl4TrtNaVSSffbcDjE48ePEQgE8PjxYwyHw7XzQxBbC7OI6+trFgwGGYCFTyQSYYqi3PuM6XTKBEFYuD+fz+uuE0WRAWCj0YiNRiMGgImiyH8XBIEJgsAYYyyVSvHvhLMkEgn+/7DX67mdnZ3DkpLbKDzS6ekp/30ymSCTydz7nFarhWq1CsYYBoMBYrEYAKDb7fJrut0uWq0WBEFALBZDLBaDIAhotVq8hB4OhxAEAQAQi8Wo5CZ2ko3lNqqKdzod/PKXv0Sj0eDnrq6uUKvVlj4rn88jlUoBAARB4IKq54DXoofDYX5O/d5qtfi9L168AKAXnSB2iY3kns1myOVyOrG/973v8U3Wc7kc0uk0/61SqWA2m6307FKphFarBVEUUa1W+fllpbAqdL1eh6IoCAQC/Jggdo215TYKtgAAH3/8sW5dtiRJCAaDAIBXr17dW3oDwP7+Ps7OzgDclsYXFxf8N6POtfnfBEHAYDDg1XsquYldZC25jcR+9OgR//78+XNUKhUAQCgU0gldq9XuLb1Ho5GutC6VSrw6vkxugiBeY1ruu8Ij/f3vf0cikeDnTk9P0e/3AdxWzyORCIDb0nuVRSPFYhGDwYAfq9VxtZPNCG07nCB2HdNyz4tdKBSQy+UQCoXQ6XQQj8f5b9rquXZiy6orwgRBQLFYXDh3F8vEJ4hdw5TcuVxuIe6ZtsodCoV04k4mE36sHQq7ublZqJorioL9/X0cHh7qzqulsSiKAF73nGur5+p39RqCILD6JJZsNqubWJLNZu+8tlwu6yawqMTjcX6+3W7r7lEnowBgqVSKTadTNhqNWCwWY/V6XXftfZNYCG9Ak1jcZSW5zYjNGGOKouiuv76+ZowxVigU+LlyubxwX71e190niiK7vLw0TCOfz/PrisXiKn8G4TAkt7vcK7dZsVXS6TS/5/z8nDHG2Pn5uennENsLye0uS9vclUplITzSKuPUAHQb+MmyvHBuPB6v9ByCINbjTrklSdLNDzcbbEGdpQaQyAThBoZyUxQVgth+FuS2SmwqrQnCXXRyW1liq+1s4HUVXZ2xBujb3wRBWE+AMcaAW/Hee+893Y+RSATRaHStB//tb3/DF198AQD47ne/i2984xv4xz/+gf/+978bP5vYDmRZ5isGe72erh+GsJ8AY4xZER6JIJZBcjvPV0hsgvAngZcvXzLq/CLs5uDggEZbHIa3uQmC8BeO789NEIQzkNwE4VNIboLwKSQ3QfgUkpsgfArJTRA+heQmCJ9CchOETyG5CcKnkNwE4VP+D6W4i19Ch5mrAAAAAElFTkSuQmCC)
physics-General
physics-
A block of mass 300 kg is set into motion on a frictionless horizontal surface with the help of frictionless pulley and a rope system as shown in figure. What horizontal force F should be applied to produce in the block an acceleration of ![1 text end text m s to the power of negative 1 end exponent ?](data:image/png;base64,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)
![](data:image/png;base64,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)
A block of mass 300 kg is set into motion on a frictionless horizontal surface with the help of frictionless pulley and a rope system as shown in figure. What horizontal force F should be applied to produce in the block an acceleration of ![1 text end text m s to the power of negative 1 end exponent ?](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General