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A satellite of mass m is launched vertic...

A satellite of mass m is launched vertically upwards with an initial speed U from the surface of the Earth. After it reaches height 2 R (R = radius of Earth) it ejects a rocket of mass `(m)/(5)` So, that subsequently the satellite moves in a circular orbit. The kinetic energy of rocket is (M is mass of Earth)

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A satellite of mass m is launched vertically upwards with initial kinetic energy K from the Earth’s surface. After it reaches height R (R = radius of earth). It ejects a rocket of mass m/5 so that subsequently the satellite moves in a circular orbit. The kinetic energy of rocket is [G is gravitational constant, M is the mass of the earth, take (GMm)/(R)=K ]

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