Question

A body of mass 10 kg is moving with a velocity of 20 m/s. What is the kinetic energy of the body?

• A. \( 2000 \, \text{J} \)
• B. \( 1000 \, \text{J} \)
• C. \( 4000 \, \text{J} \)
• D. \( 5000 \, \text{J} \)

Hint:

Remember: Kinetic energy is calculated using the formula \( KE = \frac{1}{2} m v^2 \).

Answer 1

The Correct Option is C

Step 1: Use the formula for kinetic energy
The kinetic energy \( KE \) of a body is given by: \[ KE = \frac{1}{2} m v^2 \] where:
- \( m \) is the mass of the object,
- \( v \) is the velocity of the object.

Step 2: Substitute the given values
Given:
- Mass \( m = 10 \, \text{kg} \),
- Velocity \( v = 20 \, \text{m/s} \).
Substitute these values into the formula: \[ KE = \frac{1}{2} \times 10 \times (20)^2 = \frac{1}{2} \times 10 \times 400 = 2000 \, \text{J} \] Answer: Therefore, the kinetic energy of the body is \( 2000 \, \text{J} \). So, the correct answer is option (1).