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A body weighs 72 N on the surface of the...

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

A

36N

B

32 N

C

144 N

D

50 N

Text Solution

Verified by Experts

The correct Answer is:
B
`F = mg = 72 N`
`g' = g ((R_(e))/(R_(e) + h))^(2) = g ((R_(e))/(R_(e) + R_(e)//2))^(2)`
`=g [(2R_(e))/(3R_(e))]^(2) = (4)/(9) g`
F' = mg' = mg' `xx (4)/() = 72 xx (4)/(9) = 32 N`
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