Calculating Work via Integration Video Lessons

Concept

# Problem: A particle moving on the x-axis experiences a force given by Fx=qx2, where q is a constant. How much work is done on the particle as it moves from x=0 to x=d? Express your answer in terms of some or all of the variables q and d.

###### FREE Expert Solution

Work:

$\overline{){\mathbf{W}}{\mathbf{=}}{{\mathbf{\int }}}_{\mathbf{-}\mathbf{x}}^{{\mathbf{x}}}{\mathbf{F}}{\mathbf{\left(}}{\mathbf{x}}{\mathbf{\right)}}{\mathbf{d}}{\mathbf{x}}}$

F(x) = qx2

The limit is from 0 to d

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###### Problem Details

A particle moving on the x-axis experiences a force given by Fx=qx2, where q is a constant. How much work is done on the particle as it moves from x=0 to x=d? Express your answer in terms of some or all of the variables q and d.