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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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