The relationship between the force F and position x of body is as shown in figure. The work done in displacing the body in displacing the body from (`x = 1 m` to `x = 5 m`) will be
.

Answer

20

Explanation

W = area under `F xx` graph
From `X =1` to `X = 3` force and displacement both are positive. Therefore work done is positive.
`W_1 = +"Area" = +20 J`
From `X = 3` to `X = 4` force is negative but displacement is positive. Therefore work done is again positive.
`:. W_2 = - "Area " = -5 J`
From `X =4` to `X = 5` force and displacement both are positive. Therefore work done is again positive.
`:. W_3 = +"Area" = + 5J W_("Total") = W_1 + W_2 + W_3 = 20 J` .