A body of mass m is released from a height equal to the radius R of the earth. What will be the velocity of the body when it strikes the surface of the earth?
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a
gR
b
2gR
c
2gR
d
gR2
answer is A.
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Detailed Solution
By conservation of mechanical energy−GMm2R+0=−GMmR+12mv2 ⇒ v=GMR=GMR2R=gR
A body of mass m is released from a height equal to the radius R of the earth. What will be the velocity of the body when it strikes the surface of the earth?