First slide

Work

Question

A force F acting on an object varies with distance x as shown here. The force is in newton and x in metre. The work done by the force in moving the object from x = 0 to x = 6m is

Moderate

A

4.5 J
B

13.5 J
C

9.0 J
D

18.0 J

Solution

Work done = Area enclosed by F – x graph
$= \frac{1}{2} \times (3 + 6) \times 3 = 13 .5 J$

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