Question

At a height R above the earth's surface, the gravitational acceleration is ______.

(R = radius of earth, g = acceleration due to gravity on earth's surface.)

Options

• g

• `g/8`

• `g/2`

• `g/4`

Answer 1

At a height R above the earth's surface, the gravitational acceleration is `underline(g/4)`.

Explanation:

`g^'/g=R^2/(R^')^2=(R/(2R))^2=1/4`

`thereforeg^'=g/4`