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Q.

A body is released from a height R/2 above the surface of earth where R is the radius of earth. If g be the acceleration due to gravity on the surface of earth, velocity of the body just before it strikes the surface of earth is

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a

gR2

b

12gR

c

2gR3

d

3gR4

answer is C.

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Detailed Solution

Conserving energy, 12mV2+(−GMmR)=−GMm(R+R2)⇒V2=2GMR−4GM3R=2GM3R=23.GMR2R⇒V=2gR3
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