Question 159: Gravitation

Question

The approximate height from the surface of earth at which the weight of the body becomes $${1 \over 3}$$ of its weight on the surface of earth is :
[Radius of earth R = 6400 km and $$\sqrt 3 $$ = 1.732]

Accepted Answer

According to the given information
$${{GM} \over {{{(R + h)}^2}}} = {1 \over 3} 	imes {{GM} \over {{R^2}}}$$
$$ \Rightarrow R + h = \sqrt 3 R$$
$$ \Rightarrow h = (\sqrt 3  - 1)R \simeq 4685$$ km

Answer

3840 km

Answer

4685 km

Answer

2133 km

Answer

4267 km

Gravitation

The approximate height from the surface of earth at which the weight of the body becomes ${1 \over 3} of its weight on the surface of earth is : [Radius of earth R = 6400 km and \sqrt 3 $ = 1.732]

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