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What is the minimum energy required to l...

What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?

A

`(GmM)/(2R)`

B

`(GmM)/(3R)`

C

`(5GmM)/(6R)`

D

`(2GmM)/(3R)`

Text Solution

Verified by Experts

The correct Answer is:
2
Energy =`Deltau+KE`
`=[(GMm)/R-(GMm)/(3R)]+1/2M((Gm)/(3R))=5/6(GMm)/R`
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