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(B) According to Newton's second law,the impulse applied to the particle is equal to the change in momentum.Impulse $J = F 	imes t = \Delta P$.Since

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$\frac{F^2 t^2}{2m}$

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(B) According to Newton's second law,the impulse applied to the particle is equal to the change in momentum.Impulse $J = F 	imes t = \Delta P$.Since the particle starts from rest,its initial momentum $P_i = 0$.Therefore,the final momentum $P_f = F 	imes t$.The kinetic energy $E$ of a particle is given by the formula $E = \frac{P^2}{2m}$.Substituting the value of $P_f$,we get $E = \frac{(Ft)^2}{2m} = \frac{F^2 t^2}{2m}$.

$A$ particle of mass $m$ at rest is acted upon by a force $F$ for a time $t$. Its kinetic energy after an interval $t$ is

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