A particle moves along x -axis from x=0 to x=5 metre under influence of a force F=7-2 x+3 x^2 . work

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5.Work, Energy, Power and Collision

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A particle moves along $x$-axis from $x=0$ to $x=5$ metre under the influence of a force $F=7-2 x+3 x^2$. The work done in the process is .............

A

$135$

B

$70$

C

$270$

D

$35$

Solution

(a)

$W=\int \limits_0^5 \vec{F} \cdot d x=\int \limits_0^5\left(7-2 x+3 x^2\right) d x$

$=\left[7 x-x^2+x^3\right]_0^5=135$

Standard 11

Physics

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