What is the work done in shifting a body of mass `m=5okg` slowly from the earth's surface to infinity?
Text Solution
AI Generated Solution
To find the work done in shifting a body of mass \( m = 50 \, \text{kg} \) slowly from the Earth's surface to infinity, we can follow these steps:
### Step 1: Understand the Concept of Work Done
The work done in moving an object against the gravitational force is equal to the change in gravitational potential energy. When moving the object from the Earth's surface to infinity, we need to calculate the gravitational potential energy at both points.
### Step 2: Write the Formula for Gravitational Potential Energy
The gravitational potential energy \( U \) at a distance \( r \) from the center of the Earth is given by the formula:
\[
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