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Question

# A car moving at a constant speed of 54 km/h comes to rest in 2.5 seconds. The car covers 5 m after driver applies the brakes. The total force applied to stop the car is 1000 N. Calculate the power dissipated in stopping the car.

A
2 kW
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B
3 kW
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C
1 kW
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D
5 kW
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Solution

## The correct option is A 2 kWGiven, Total force applied to stop the car is 1000 N Distance covered by the car before stopping (s) =5 m Time taken by the car to come to rest =2.5 seconds ⇒ Work done to stop the car (W) = Force × Displacement ⇒W=1000×5=5000 N We know that power is defined as the work done per unit time, ⇒Power=Work doneTime ⇒Power=50002.5 ⇒Power=2000 W=2 kW Therefore, option B is the correct answer.

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