First slide

Variation of g

Question

At surface of earth weight of a person is 72 N then his weight at height $\frac{R}{2}$ from surface of earth is ( R = radius of earth)

Moderate

A

28 N
B

16 N
C

32 N
D

72 N

Solution

Weight of the body at height R,
$W^{'} = W {(\frac{R}{R + h})}^{2}$
= W ${(\frac{R}{R + \frac{R}{2}})}^{2} = W {(\frac{2}{3})}^{2}$
= $\frac{4}{9} W = \frac{4}{9} \times 72 = 32 N$

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