A body weighs 72 N on the surface of the earth. What is the gravitational force on it, at a height equal to half the radius of the earth? [2020]

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Solution

Q.
A body weighs 72 N on the surface of the earth. What is the gravitational force on it, at a height equal to half the radius of the earth [2020]

1 48 N

2 32 N

3 30 N

4 24 N

Ans.
(2)

Gravitational force at a height $h$ ,

$m g_{h} = \frac{m g_{0}}{{(1 + \frac{h}{r})}^{2}} = \frac{72}{{(1 + \frac{R / 2}{R})}^{2}} or m g_{h} = 32 N$

or $F_{g} = 32 N$

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