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# A body weighs 72N on the surface of the earth. What is the gravitational force on it at a height equal to half the radius of the earth from the surface?72N28N16N32N

A
16N
B
28N
C
72N
D
32N
Solution
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#### Lrt Re be the radius of earth Given h=Re/2Since h is comparable to ReSo, gh=GM(Re+h)2 Putting h=Re/2,we get⇒gh=49×GMR2e=4g9Where g is acceleration due to gravity at the surface of earthTherefore weight at a height equal to half of the earth's radius =49×72=32N Hence correct answer is option D

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