The total kinetic energy of a body of mass 10 kg and radius 2 m moving with a velocity of 15 m/s without slipping is 2250 joule. The radius of gyration is

Options

A. `1m `
B. `2m`
C. `1.89 m`
D. `1.71 m`

Explanation

To find the radius of gyration of a body given its total kinetic energy, we will follow these steps:

### Step-by-Step Solution:

1. **Understand the Total Kinetic Energy**:
The total kinetic energy (TKE) of a rolling body is given by the formula:
\[
TKE = \frac{1}{2} mv^2 + \frac{1}{2} I \omega^2
...