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

Options

A. `30 J`
B. `15 J`
C. `25 J`
D. `20 J`

Answer

B

Explanation

Work done =area under F-x graph
=area of rectangle `ABCD+` area of rectangle `LCEF`
+ area of rectangle `GFIH+` area of triangle `IJK`

`=(2-1) xx (10-0) +(3-2)(5-0)+(4-2)(-50)`
`+(1)/(2) (5-4)(10-0) =15 J`.