A satellite is moving with a constant speed 'V' in a circular orbit about the earth. An object of mass 'm' is ejected from the satellite such that it just escapes form the gravitational pull of the earth. At the tme of its ejection, the kinetic energy of the object is

Options

A. `1/2 mv^(2)`
B. `mv^(2)`
C. `3/2mv^(2)`
D. `2mv^(2)`

Answer

B

Explanation

In circular orbit of a satellite, potential energy `=-2xx("kinetic energy")=-2xx1/2 mv^(2)=-mv^(2)` Just to escape from the gravitational pull, its total mechanical energy should be zero. Therefore, its kinetic energy should be `+mv^(2)`