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Force acting on a particle varies with d...

Force acting on a particle varies with displacement as shown is Fig. Find the work done by this force on the particle from `x=-4 m` to `x = + 4m.
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Text Solution

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The correct Answer is:
C

W=area under F-x graph
From `X=-4` to `X =-2`
`F=-ve` , (from graph)
`S=+ve`
`:. W_(1) =-1/2 xx 10 =10J`
From `-2` to `4`
`F = + ve`
`S = + ve`
`:. W_(2) = + 1/2(6 + 2) (10)`
`= + 40J`
`:. W_(T) =W_(1) + W_(2) =30J`
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