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Finding Average Velocity

A particle mo...

Question

A particle moves along X -axis from $x = 0$ to $x = 1 m$ under the influence of a force given by $F = 3 x^{2} + 2 x - 10$ . Work done in the process is

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Solution

A particle moves along X -axis from $x = 0$ to $x = 1 m$ under the influence of a force given by $F = 3 x^{2} + 2 x - 10$ .
Work done in the process is, $W = \int_{0}^{1} F \cdot d x = \int_{0}^{1} (3 x^{2} + 2 x - 10) d x$

$⟹ W = [x^{3} + x^{2} - 10 x]_{0}^{1} = - 8 J$

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Similar questions

x = 0

x = 5 m

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

x = 0

x = 5

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

x -

x = 0

x = 5

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

x = 0

x = 5 m

F

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

x -

x = 1 m

x = 3 m

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

x -

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