Rankers Physics
Topic: Gravitation
Subtopic: Acceleration Due to Gravity and its variation

A body of weight $72 \text{ N}$ moves from the surface of earth to a height half of the radius of the earth, then gravitational force exerted on it will be:

(2000)

$36 \text{ N}$
$32 \text{ N}$
$144 \text{ N}$
$50 \text{ N}$

Solution:

Gravitational force (weight) at height $h$ is $F = \frac{W}{(1 + \frac{h}{R})^2}$.nSubstitute $h = \frac{R}{2}$ to get $F = \frac{72}{(1 + 0.5)^2}$.n$F = \frac{72}{2.25} = 32 \text{ N}$.

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