A satellite moves around the earth in a circular orbit with speed `v`. If `m` is the mass of the satellite, its total energy is

Options

A. `1/2 mv^(2)`
B. `1/4 mv^(2)`
C. `-1/4 mv^(2)`
D. `-1/2 mv^(2)`

Answer

D

Explanation

`therefore` Total energy of the satellite is `E=-1/2 (GM_(e)m)/(R_(e))`
where `k=1/2(GMM_(e)m)/(R_(e))`
`therefore` Total energy =-kinetic energy
`E=-1/2 mv^(2)`
putting the value of KE in the form of mass of a satellite m and speed v