The weight of a body at the surface of earth is 18 N. The weight of the body at an altitude of 3200 km above the earth’s surface is (given, radius of earth km) [2023]

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Solution

Q.
The weight of a body at the surface of earth is 18 N. The weight of the body at an altitude of 3200 km above the earth’s surface is (given, radius of earth $R_{e} = 6400$ km) [2023]

1 19.6 N

2 9.8 N

3 4.9 N

4 8 N

Ans.
(4)

$Acceleration due to gravity at height h$

$g' = \frac{g}{{[1 + \frac{h}{R}]}^{2}}$

$So weight at given height$

$m g' = \frac{m g}{{[1 + \frac{h}{R}]}^{2}} = \frac{18}{{[1 + \frac{1}{2}]}^{2}} = 8 N$

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