By what facter should the velocity of a moving particle be changed so that its kinetic energy becomes 1/16 of its intial value ?

Explanation

To solve the problem of determining by what factor the velocity of a moving particle should be changed so that its kinetic energy becomes \( \frac{1}{16} \) of its initial value, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Kinetic Energy Formula**:
The kinetic energy (KE) of an object is given by the formula:
\[
KE = \frac{1}{2} mv^2
...