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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

32 N

B

30 N

C

24 N

D

48 N

Text Solution

Verified by Experts

The correct Answer is:
A
`w_(s) = mg_(s) = 72 N `
`w_(h) = mg_(h) = (mg_(s))/((1 + (h)/(R))^(2)) = (72 N)/((1 + (R//2)/(R))^(2)) = (72)/(9//4)`
`w_(h) = 32 N`
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Knowledge Check

  • A body weighs 81 N 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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