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A body while being acted upon by a force...

A body while being acted upon by a force `vec(F )(x)=(3x^(2)-2x+7)hat(i)` N gets displaced from x = 0 to x = 10 m in the direction of X -axis .Find the work done `[int x^(n) dx = (x^(n+1))/(n+1)]`

Text Solution

Verified by Experts

`W = int_(0)^(10) Fdx`
` :. W = int_(0)^(10) (3x^(2)-2x+7)dx`
` :. W = [(3x^(3))/3]_(0)^(10) -[(2x^(2))/2]_(0)^(10) +[7x]_(0)^(10)`
` :. W = [x^(3)]_(0)^(10) -[-x^(2)]_(0)^(10)+[7x]_(0)^(10)`
` = 1000 - 100 + 70 `
` :. W = 97 J `
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