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  4. Figure shows the variation of a force F acting on a particle along x-axis. If the particle begins at rest at x=0, what is the particle's coordinate when it again has zero speed?

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Q. Figure shows the variation of a force $F$ acting on a particle along $x$-axis. If the particle begins at rest at $x=0$, what is the particle's coordinate when it again has zero speed?Physics Question Image

Work, Energy and Power

Solution:

Using work energy thorem
$W_{F}=\Delta K$
$\int F d x=\Delta K$
Given that $\Delta K=0$
$\Rightarrow \int F d x=0$ (Area under $F-x$ curve $)$
Positive area = Negative area
So at $x=6$ Total area $=0$