To determine the kinetic energy of a ball with a mass of 0.5 kg and a velocity of 10 m/s, we'll use the formula:
[tex]\[ \text{Kinetic Energy (KE)} = \frac{1}{2} m v^2 \][/tex]
Here's a step-by-step breakdown of the calculation:
1. Identify the given values:
- Mass ([tex]\(m\)[/tex]) = 0.5 kg
- Velocity ([tex]\(v\)[/tex]) = 10 m/s
2. Substitute the given values into the kinetic energy formula:
[tex]\[ KE = \frac{1}{2} \times 0.5 \times (10)^2 \][/tex]
3. Calculate the square of the velocity:
[tex]\[ 10^2 = 100 \][/tex]
4. Multiply the mass by the squared velocity:
[tex]\[ 0.5 \times 100 = 50 \][/tex]
5. Take half of the result:
[tex]\[ \frac{1}{2} \times 50 = 25 \][/tex]
So, the kinetic energy of the ball is 25 joules (J).
Therefore, the correct answer is:
- 25 J
