A body weighs 72N on the surface of 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?
A
72N
B
28N
C
16N
D
32N
Medium
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Updated on : 2022-09-05
Solution
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Correct option is D)
At the surface of Earth, weight W=72N
∴F=mg=72N
m=1072=7.2kg
Now, at some height, h acceleration due to gravity is given as
g′=(1+Rh)2g
Here, h=2R
g′=(1+21)2g=94g=4.44m/s2
Now, the force experienced by the body at half of the radius of the earth is given by: