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A satellite is moving with a constant sp...

A satellite is moving with a constant speed `v` in circular orbit around the earth. An object of mass 'm' is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of ejection, the kinetic energy of the object is :

A

`1/2mV^2`

B

`mV^2`

C

`3/2 m V^2`

D

`2m V^2`

Text Solution

Verified by Experts

The correct Answer is:
B
`V_e=sqrt((2GM)/r), V=sqrt((GM)/r) rArr V_e =sqrt(2v) , KE=1/2 mv_e^2 =1/2m(sqrt2v)^2 =mv^2`
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