A body weighs w Newton on the surface of the earth. Its weight at a height equal to half the radius of the earth, will be `x/y w` where x and y are coprimes . Find x and y

Explanation

To solve the problem, we need to determine the weight of a body at a height equal to half the radius of the Earth, given that its weight on the surface of the Earth is \( w \) Newtons.

### Step-by-Step Solution:

1. **Understand the Weight on the Surface of the Earth**:
The weight \( w \) of the body on the surface of the Earth is given by the formula:
\[
w = \frac{G M m}{R^2}
...