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A satellite of mass m is just placed ove...

A satellite of mass `m` is just placed over the surface of earth. In this position mechanical energy of satellite is `E_(1)`. Now it starts orbiting round the earth in a circular path at height `h =` radius of earth. In this position, kinetic energy potential energy and total mechancial energy of satellite are `K_(2)`, `U_(2)` and `E_(2)` respectively. Then

A

`U_(2) = (E_(1))/(2)`

B

`E_(2) = (E_(1))/(4)`

C

`K_(2) = - E_(2)`

D

`K_(2) = - (U_(2))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
`E_(1) = - (GMm)/(R )`
`U_(2) = - (GMm)/(2R)` `(r = R + R = 2R)`
`K_(2) = (GMm)/(4R)`
and `E_(2) = - (GMm)/(4R)`
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