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Question

Under the action of a force, a 1 kg body moves, such that its position x as a function of time t is given by x=t32 where x is in meter and t is in second. The work done by the force in first 3 second is

A
243 J
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B
2430 J
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C
7298
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D
24.3 J
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Solution

The correct option is C 7298
We can get acceleration by double differentiating x wrt t ,
So we get a = 3t which gives F=3t N

Now Work done = Fdx=3t32dt=9t48=7298

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