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Question

If a satellite is moved from one stable circular orbit to a farther stable circular orbit, then the following quantity increases

A
Gravitational force
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B
Gravitational Potential Energy
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C
linear orbital speed
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D
Centripetal acceleration
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Solution

The correct option is B Gravitational Potential Energy
Gravitational PE of the satellite about the planet is: U=GMpmsr here the subscripts p and s refer to the planet and satellite respectively.
As the satellite moves to an orbit of greater radius, PE becomes less negative, hence it increases.
Gravitational force is 1r2, hence it decreases when r increases.
Centripetal acceleration is due to gravitational force, hence it also decreases.
Angular momentum: L=mvr is conserved. where v is the linear speed.
As r increases, v decreases.

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