Question

# What is the amount of work to be done on a car of mass 1000kg to increase its velocity from 10km/hr to 20km/hr?

A

12596 J

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B

10590 J

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C

11592 J

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D

13542 J

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Solution

## The correct option is C 11592 J Mass of the car is 1000kg. The initial velocity of the car is 10km/hr. On converting it into m/s, we would get u=2.78m/s. Similarly, final velocity is 5.56m/s. With the mass and velocities, we can find the initial and final kinetic energies. Initial Kinetic Energy=12×1000×(2.78)2 = 3864.2 J Final Kinetic Energy=12×1000×(5.56)2 = 15456.8 J The difference in these values would give us the amount of work done. Work done = Change in kinetic energy = 15456.8 J - 3864.2 J = 11592.6 J

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