Logo

Get Updates

Subscribe to receive instant notifications for new study materials and important updates.

Home» class 9»Science» Chapter 10: Work and Energy

Calculate the work required to be done to stop a car of 1500 k... - Science

Question

Calculate the work required to be done to stop a car of 1500 kg moving at a velocity of 60 km/h?

Answer

Given:
Mass (m) = 1500\text{ kg}
Velocity (v) = 60\text{ km/h} = 60 \times \frac{5}{18} = \frac{50}{3}\text{ m/s}

Formula:
Work required = Change in Kinetic Energy (Initial K.E. - Final K.E.)
Since final velocity is 0, Work = Initial K.E. = \frac{1}{2} m v^2

Calculation:

W = \frac{1}{2} \times 1500 \times \left(\frac{50}{3}\right)^2
W = 750 \times \frac{2500}{9}
W = \frac{1875000}{9}
W \approx 208333.3\text{ J}

 

Answer:
The work required is 208333.3\text{ J} (approx).