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Question

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

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Answer

Mass of the car (m) = 1500 kg

Velocity of the car (v) = 60 km/h

=60×100060×60=503{60×1000\over60×60}={50\over3}m/s

The car is in motion, so its energy = kinetic energy = 12{1\over2}𝑚𝑣2

=12{1\over2}(1500) (503)2({ 50\over3 })^2 J

=12×(1500)×25009{1\over2}× (1500) × {2500\over9} J

= 208333.3 J

The kinetic energy of the car, when it comes to rest = 0 J

Work done on object  = change in kinetic energy

= 208333.3 − 0 J

= 208333.3 J

Hence, the work required to stop the car is 208333.3 J.

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