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A particle moves along x-axis from x=0 "...

A particle moves along x-axis from `x=0 "to"x=8` under the influence of a force given by `F=3x^(2)-4x+5`. Find the work done in the process.

Text Solution

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Work done in the moving a particle from x=0 to x=8 wil be
`W=underset(0)overset(8)int(3x^(2)-4x+5)dx=[(3x^(3))/3-(4x_(2))/2+5x]_(0)^(8)`
`W=[3""(8)^(3)/3-4".(8^(2)/2)+40]=[512-128+40]=424J`
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