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A particle moves in one dimension from rest under the influence of a force that varies with the distance travelled by the particle as shown in the figure. The kinetic energy of the particle after it has travelled $3 m$ is:

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$4 J$

$2.5 J$

$6.5 J$

$5 J$

answer is C.

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Detailed Solution

We know area under F-x graph gives the work done by the body

$∴ W = \frac{1}{2} \times (3 + 2) \times (3 - 2) + 2 \times 2 = 2.5 + 4 = 6.5 J$

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