# What is the distance from the Earth's center to a point in space where the gravitational acceleration due to the Earth is 1/24 of its value at the Earth's surface?

##### 1 Answer

May 24, 2016

Approximately

#### Explanation:

The radius of the Earth is approximately

Gravity obeys an inverse square law, decreasing by the square of the distance from the centre.

So the gravitational acceleration due to the Earth will be

#sqrt(24)*4000 ~~ sqrt(25)*4000 = 5*4000 = 20000# miles.

#20000 * 1.6 = 32000# kilometers.