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Q.

A body weighs 72N on the surface of the earth. What is the gravitational force on it due to earth at a height equal to half the radius of the earth from the surface ?

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a

 32 N

b

28 N

c

16 N

d

72 N  

answer is A.

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Detailed Solution

mg=72N (body weight on the surface)
g=GMR2
At a height H=R2,g′=GMR+R22=4GM9R2

Body weight at height H=R2
mg=m×49GMR2=m×49×g=49mg=49×72=32N

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