A body is released at a distance far away from the surface of the earth. Calculate its speed when it is near the surface of earth. Given `g=9.8ms^(-2)` radius of earth `R=6.37xx10^(6)m`

Explanation

To solve the problem of calculating the speed of a body when it is near the surface of the Earth after being released from a distance far away, we can use the principle of conservation of energy. Here’s a step-by-step solution:

### Step 1: Understand the Conservation of Energy
When the body is released from a distance, it has gravitational potential energy and no kinetic energy. As it falls towards the Earth, this potential energy converts into kinetic energy.

### Step 2: Write the Equation for Potential Energy and Kinetic Energy
The gravitational potential energy (U) at a distance R from the center of the Earth is given by:
\[ U = -\frac{GMm}{R} \]
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