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The work done by the net force on a particle is equal to the change in kinetic energy. Can it happen that the work done by one of the component forces alone will be greater than the change in kinetic energy? If so, give examples.

The work done by the net force on a particle is equal to the change in kinetic energy. Can it happen that the work done by one of the component forces alone will be greater than the change in kinetic energy? If so, give examples.

Grade:10

1 Answers

Jitender Pal
askIITians Faculty 365 Points
8 years ago
Yes, the work done by one of the component forces alone will be greater than the change in kinetic energy.
Let us consider a body of mass m which pulled by a string. Two forces are acting on the block. One is its weight (W = mg) which is in downward direction and the other one is tension (T) which is just opposite direction to the weight of the body as shown in below figure.
235-1837_1.JPG
235-145_1.JPG
But, in accordance to work-energy theorem, work done is equal to the change in kinetic energy.
So,

235-469_1.JPG
From the above observation we conclude that, work done by one of the component forces alone will be greater than the change in kinetic energy.

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