Question:medium

A car of mass 2000 kg is moving with a velocity of 18 km/h. Work done to stop this car is:

Show Hint

To calculate the work done to stop an object, use the formula for kinetic energy \( K.E. = \frac{1}{2} m v^2 \) and substitute the mass and velocity.
Updated On: Jan 15, 2026
  • \( 2.5 \times 10^6 \) joules
  • \( 2.5 \times 10^5 \) joules
  • \( 2.5 \times 10^4 \) joules
  • \( 2.5 \times 10^3 \) joules
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The Correct Option is B

Solution and Explanation

The work needed to halt a car equals its initial kinetic energy, calculated as: \[ K.E. = \frac{1}{2} m v^2 \] Where: - \( m = 2000 \, \text{kg} \) - \( v = 18 \, \text{km/h} = 5 \, \text{m/s} \) (converted from km/h to m/s) Using these values: \[ K.E. = \frac{1}{2} \times 2000 \times 5^2 = 1000 \times 25 = 25000 \, \text{joules} = 2.5 \times 10^5 \, \text{joules} \] Therefore, the work required to stop the car is \( 2.5 \times 10^5 \, \text{joules} \).
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