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The work done by a force vecF = (-6xx x^...

The work done by a force `vecF = (-6xx x^(3)hati ) N` in displacing a particle from x = 4 m to x = - 2 m is

A

360 J

B

240 J

C

`-240 J`

D

`-360 J`

Text Solution

Verified by Experts

The correct Answer is:
A

`W= int_4^(-2) (-6x^3)dx =-6 [x^4/4]_4^(-2)`
`=(-6)/4 [16 -256] =6/4 xx(240) = 360 J`
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