A particle moves in one dimension from rest under the influence of a force that varies with the distance…

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

1. $4\mathrm{ }\mathrm{J}$
2. $2.5\mathrm{ }\mathrm{J}$
3. $6.5\mathrm{ }\mathrm{J}$
4. $5\mathrm{ }\mathrm{J}$

Solution

Change in K.E.$=$Work done$=$Area
Area$=(3\times 2)+(\frac{1}{2}\times 1\times 1)=6.5$
$\therefore$ Change in kinetic energy$=6.5\mathrm{ }\mathrm{J}$

Asked in: JEE Main 2019 (08 Apr Shift 1)

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