The mass of the earth is `6.0 xx 10^(24) kg` and its radius is `6.4 xx 10^(6) m`. How much work will be done in taking a `10 kg` body from the surface of the Earth to infinity ? What will be the gravitational potential energy of the body on the Earth's surafce ?
`G = 6.67 xx 10^(-11) Nm^(2) kg^(-2)`.

Explanation

To solve the problem step by step, we will calculate the work done in taking a 10 kg body from the surface of the Earth to infinity and then find the gravitational potential energy of the body on the Earth's surface.

### Step 1: Understand the Work Done
The work done in moving a mass from the surface of the Earth to infinity is equal to the change in gravitational potential energy (U). The potential energy at infinity is considered to be zero.

### Step 2: Calculate the Gravitational Potential Energy at the Surface
The formula for gravitational potential energy (U) at a distance r from the center of a mass M is given by:
\[ U = -\frac{G \cdot M \cdot m}{r} \]
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