What is the work done in taking an object of mass 1kg from the surface of the earth to a height equal to the radius of the earth ? ( `G = 6.67 xx10^(-11) Nm^(2)//kg^(2)` Radius of the earth = 6409km, Mass of the earth = `6 xx10^(24)kg`)

Explanation

To find the work done in taking an object of mass 1 kg from the surface of the Earth to a height equal to the radius of the Earth, we can follow these steps:

### Step 1: Understand the Problem
We need to calculate the work done in moving a mass \( m = 1 \, \text{kg} \) from the surface of the Earth to a height equal to the radius of the Earth \( R \).

### Step 2: Identify Relevant Formulas
The gravitational potential energy \( U \) at a distance \( r \) from the center of the Earth is given by:
\[
...