Question

What is the kinetic energy of a body of mass $ 2 \, \text{kg} $ moving with a velocity of $ 5 \, \text{m/s} $?

• A. \( 25 \, \text{J} \)
• B. \( 10 \, \text{J} \)
• C. \( 50 \, \text{J} \)
• D. \( 5 \, \text{J} \)

Hint:

Remember: Kinetic energy is always positive and is given by \( KE = \frac{1}{2} m v^2 \).

Answer 1

The Correct Option is A

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 body, - \( v \) is its velocity.
Step 2: Substitute the given values
Given: - Mass \( m = 2 \, \text{kg} \), - Velocity \( v = 5 \, \text{m/s} \). Substitute these values into the formula: \[ KE = \frac{1}{2} \times 2 \times (5)^2 = 1 \times 25 = 25 \, \text{J} \]
Answer:
Therefore, the kinetic energy of the body is \( 25 \, \text{J} \). So, the correct answer is option (1).