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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 $F =$ $7 - 2 x + 3 x^{2} N$ . The work done in the process is

107 J

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270 J

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100 J

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135 J

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Solution

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

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

$= 35 - 25 + 125$

$= 135 J$

Suggest Corrections

Similar questions

F = ({7 - 2 x + 3 x}^{2}) N .

x = 0

x = 5 m

F

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

x = 0

x = 1 m

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

x -

x = 0

x = 5

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

x -

x = x_{1}

x = x_{2}

F = 2 x

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