Mechanics> A particle moves along x-axis under the a...

A particle moves along x-axis under the action of a position dependent force f =(5x^2- 2X)N . work done by force on the particle when it moves from origin to X =3 is ?

Ashmeet , 7 Years ago

Grade 11

1 Answers

Susmita

Work done

dW=fdx=(5x²-2x)dx

For W ,integrate both side.The limit of x is 0 to 3.

$W= \int_{0}^{3} (5x^2 -2x)dx$

$W=5[\frac{x^3}{3}]{_{0}^{3}}-2[\frac{x^2}{2}]{_{0}^{3}}$

$W=5[\frac{27}{3}]-2[\frac{9}{2}]$

W=45-9=36Nm

Hope this helps

Last Activity: 7 Years ago

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Mechanics> A particle moves along x-axis under the a...

A particle moves along x-axis under the action of a position dependent force f =(5x^2- 2X)N . work done by force on the particle when it moves from origin to X =3 is ?

Ashmeet , 7 Years ago

Susmita

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