Question

The percentage decrease in the weight of a rocket, when taken to a height of 32 km above the surface of the earth will, be ______.

(Radius of earth = 6400 km)

Options

• 1%

• 3%

• 4%

• 0.5%

Answer 1

The percentage decrease in the weight of a rocket, when taken to a height of 32 km above the surface of the earth will, be 1%.

Explanation:

Given, the radius of earth = 6400 km

We have, `g^' = g(1 - (2d)/R)`

The percentage decrease in weight,

`(g^' - g)/g = (-2d)/R = (2 xx 32 xx 100)/6400 = 1%`