To find the velocity of the ball, we'll use the given formula for velocity in terms of kinetic energy and mass:
[tex]\[ V = \sqrt{\frac{2KE}{m}} \][/tex]
Here's a step-by-step breakdown of the solution:
1. Identify the given values:
- Kinetic Energy (\(KE\)) = 100 Joules
- Mass (\(m\)) = 2 kilograms
2. Substitute these values into the formula:
[tex]\[ V = \sqrt{\frac{2 \times 100}{2}} \][/tex]
3. Simplify the expression under the square root:
[tex]\[ V = \sqrt{\frac{200}{2}} \][/tex]
[tex]\[ V = \sqrt{100} \][/tex]
4. Take the square root of 100:
[tex]\[ V = 10 \][/tex]
Therefore, the velocity \( V \) is 10 meters per second.
The correct answer is:
[tex]\[ \boxed{10 \, m/s} \][/tex]
