Question

If you climbed a very tall ladder to get 1 Earth radius above Earth's surface, how would your weight be different at that location than at Earth's surface?

Answer 1

Your weight at a height of 1 Earth radius above the Earth's surface would be approximately one-quarter (1/4) of your weight at the Earth's surface.

Step-by-step explanation:

The force of gravity acting on an object decreases with distance from the Earth's center. According to Newton's law of universal gravitation, the gravitational force between two objects is inversely proportional to the square of the distance between their centers. When you ascend to a height of 1 Earth radius above the Earth's surface, the gravitational force acting on you decreases significantly.

At that height, the gravitational force would be only 1/4th (1/4) of what it is at the Earth's surface. This decrease in gravitational force would result in a proportional reduction in your weight, making you weigh approximately one-quarter of your weight at the Earth's surface.