Question

A particle of mass 10 kg is moving with a velocity of 5 m/s. The kinetic energy of the particle is:

• A. 125 J
• B. 250 J
• C. 500 J
• D. 1000 J

Hint:

Kinetic energy is proportional to the square of the velocity, so doubling the velocity increases the kinetic energy by a factor of four.

Answer 1

The Correct Option is B

Step 1: Formula for kinetic energy.
The kinetic energy \( K.E. \) is given by: \[ K.E. = \frac{1}{2} m v^2 \] where \( m = 10 \, \text{kg} \) and \( v = 5 \, \text{m/s} \).

Step 2: Calculate kinetic energy.
Substituting the values, we get: \[ K.E. = \frac{1}{2} \times 10 \times 5^2 = 250 \, \text{J} \]