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A particle is subjected to a force F(x) ...

A particle is subjected to a force `F_(x)` that varies withes position as shown in figure. Find the work done by the force on the body as it moves
(a) from `x =10.0 m` to `x =5.0 m`,
(b) from `x =5.0 m` to `x =10.0 m`,
(c ) from `x =10. 0 m` to `x =15.0 m`,
(d) what is the total work done by the force over the distance `x =0` to `x =15.0 `?
.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
(a) From `x =10m` to `x =5m`
`S =-ve`
`F = +ve` (form graph)
`:. W_(1) =-"Area"`
`= -5xx3`
`=-15 J`
(b) From `x =5m` to `x=10 m`
`S =-ve`
and `F =+ve`
`:. W_(3) = + "Area" = 5 xx3`
`=15J`
(c ) From `x =10m` to `x =15 m`
`S = +ve`
`F = + ve `
`:. W_(3) = "Area"`
`=3J`
(d) From `x = 0` and `x = 15`
`S = +ve` and `F = + ve`
`:. W_(4) = + "Area"`
`=1/2 xx 3 xx (12 + 6) =27 J`
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