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  4. The force vecF = F hati 0n a particle of mass 2 kg, moving along the x-axis is given in the figure as a function of its position x. The particle is moving with a velocity of 5 m/s along the x-axis at x = 0. What is the kinetic energy of the particle at x = 8m ?

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Q. The force $\vec{F} = F \hat{i}$ 0n a particle of mass $2\, kg$, moving along the x-axis is given in the figure as a function of its position $x$. The particle is moving with a velocity of $5 \,m/s$ along the x-axis at $x\, =\, 0$. What is the kinetic energy of the particle at $x\, =\, 8m$ ?Physics Question Image

AIEEEAIEEE 2012Work, Energy and Power

Solution:

$kE$ of particle is initial $kE +$ change in $kE$
$\Delta kE =$ work done $=$ area under $F$-x curve.