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Work Done When Force Is Varying

A particle mo...

Question

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

360 J

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85 J

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185 J

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135 J

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Solution

The correct option is D 135 J
Work done is given by,
$W = \int_{0}^{5} F d x$

$= \int_{0}^{5} (7 - 2 x + 3 x^{2}) d x$

$= 7 x - x^{2} + x^{3}$

$= 135 J$

Suggest Corrections

Similar questions

F = 7 - 2 x + 3 x^{2}

x -

x = 0

x = 5

F = 7 - 2 x + 3 x^{2}

x = 0

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F = 10 - 2 x + 3 x^{2}

x = 0

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F = 3 x^{2} - 2 x + 7

x -

x = 1 m

x = 3 m

F = 3 x^{2} - 2 x + 5

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