A body of mass `m` is raised to a height 10 R from the surface of the earth, where R is the radius of the earth. Find the increase in potential energy. (G = universal constant of gravitational, M = mass of the earth and g= acceleration due to gravity)

Explanation

To find the increase in potential energy when a body of mass \( m \) is raised to a height \( 10R \) from the surface of the Earth, we can follow these steps:

### Step 1: Understand the formula for gravitational potential energy
The gravitational potential energy \( U \) of a mass \( m \) at a distance \( r \) from the center of the Earth is given by the formula:
\[ U = -\frac{GMm}{r} \]
where \( G \) is the universal gravitational constant, \( M \) is the mass of the Earth, and \( r \) is the distance from the center of the Earth.
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