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Question

# A satellite of mass m is orbiting around the earth at a height equal to twice the radius of the earth (R). Its potential energy is given by :−2mgR−2mgR3−mgR2−mgR3

A
2mgR3
B
2mgR
C
mgR2
D
mgR3
Solution
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#### Gravitational potential energy at distance r from the center of the earth is given as,P=−GMEmr=−GMEm3R=−GMEm(R/3)R2⟹P=−mgR3Option D is correct.

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