If the radius of earth is R, density is `rho` and the acceleration due to gravity is g, then calculate the work done in raising an object of mass m through a height h from the earth's surface.

Explanation

To calculate the work done in raising an object of mass \( m \) through a height \( h \) from the Earth's surface, we will follow these steps:

### Step 1: Understand the gravitational potential energy
The gravitational potential energy \( U \) 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 \( m \) is the mass of the object.
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