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Under influence of a force vec(F) (x) ...

Under influence of a force `vec(F) (x) = (3x^(2) - 2x +5) hat(i)` N , there is displacement of a particle from x = 0 and x = 5 m on X - axis .So work done is `……….` J .

A

100

B

150

C

125

D

120

Text Solution

Verified by Experts

The correct Answer is:
C
`W = int_(x_(1))^(x_(2)) Fdx`
` = int_(0)^(5) (3x^(2) - 2x+5) dx `
`= 3 ((x^(3))/x)_(0)^(5) - 2((x^(2))/2)_(0)^(5) +5(x)_(0)^(5)`
` =(125 - 0 ) - (25 - 0 ) + 5 ( 5 - 0 ) = 125 J `
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