Two identical satellites are moving around the Earth in circular orbits at heights 3R and R respectively where R is the radius of the Earth. The ratio of their kinetic energies is x. Find x.

Explanation

To find the ratio of the kinetic energies of two identical satellites moving around the Earth at heights of 3R and R, we can follow these steps:

### Step 1: Understand the gravitational force acting on the satellites
The gravitational force acting on a satellite of mass \( m \) at a distance \( d \) from the center of the Earth is given by:
\[ F = \frac{GMm}{d^2} \]
where \( G \) is the gravitational constant, and \( M \) is the mass of the Earth.
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