The radius of the earth is reduced by 4%. The mass of the earth rermains unchanged. The escape veocity increases by K%. Find the value of K.

Explanation

To solve the problem, we need to determine how the escape velocity of the Earth changes when its radius is reduced by 4%, while its mass remains unchanged.

### Step-by-Step Solution:

1. **Understand the formula for escape velocity (VE)**:
The escape velocity from the surface of a celestial body is given by the formula:
\[
V_E = \sqrt{\frac{2GM}{R}}
...