On the surface of earth a body weighs 99N. What is the gravitational force on it at a height equal to half the radius of the earth?

Explanation

To solve the problem of finding the gravitational force on a body at a height equal to half the radius of the Earth, we can follow these steps:

### Step 1: Understand the Given Information
- The weight of the body on the surface of the Earth is given as \( W = 99 \, \text{N} \).
- The height \( h \) at which we need to find the gravitational force is equal to half the radius of the Earth, i.e., \( h = \frac{R}{2} \), where \( R \) is the radius of the Earth.

### Step 2: Use the Formula for Gravitational Force
The gravitational force \( F \) on a body at a height \( h \) above the surface of the Earth can be calculated using the formula:
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