Question 204: Gravitation

Question

The value of acceleration due to gravity at
Earth's surface is 9.8 ms–2. The altitude above
its surface at which the acceleration due to
gravity decreases to 4.9 ms–2, is close to :
(Radius of earth = 6.4 × 106 m)

Accepted Answer

$${{GM} \over {{{\left( {R + h} ight)}^2}}} = {{GM} \over {2{R^2}}}$$
$$R + h = \sqrt 2 R$$
$$h = \left( {\sqrt 2  - 1} ight)R \simeq 2.6 	imes {10^6}m$$

Answer

1.6 × 106 m

Answer

9.0 × 106 m

Answer

6.4 × 106 m

Answer

2.6 × 106 m

Gravitation

The value of acceleration due to gravity at Earth's surface is 9.8 ms–2. The altitude above its surface at which the acceleration due to gravity decreases to 4.9 ms–2, is close to : (Radius of earth = 6.4 × 106 m)

Choose the correct answer: