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The satellite of mass m is orbitating ar...

The satellite of mass m is orbitating around the earth in a circular orbit with a velocity v. what will be its total energy ?

A

`-1/2mv^(2)`

B

`1/2mv^(2)`

C

`3/2mv^(2)`

D

`1/4mv^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A

Total mechanical energy is given is
`E=K+u=-(GMm)/(2a)=(GMm)/a=(-GMm)/(2a)`
`(GM)/a=v^(2)impliesE=-1/2mv^(2)`
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