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A satellite of mass m is launched vertic...

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`]

A

`m/20 (u^2+113/200(GM)/R)`

B

`5m (u^2-119/200(GM)/R)`

C

`(3m)/20 (u+sqrt((5GM)/(6R)))^2`

D

`(m)/20 (u-sqrt((2GM)/(3R)))^2`

Text Solution

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The correct Answer is:
B
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