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What is the kinetic energy of a ball with a mass of 0.5 kg and a velocity of [tex]10 \, \text{m/s}[/tex]?

(Formula: [tex]\text{KE} = \frac{1}{2} m v^2[/tex])

A. 25 J
B. 5 J
C. 50 J
D. 100 J

Sagot :

GinnyAnsweridn
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
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