First slide

Work

Question

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

Moderate

A

30 J
B

15 J
C

25 J
D

20 J

Solution

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

$= (2 - 1) \times (10 - 0) + (3 - 2) (5 - 0) + (4 - 3) (- 5 - 0) + \frac{1}{2} (5 - 4) (10 - 0) = 15 J$

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