First slide

Work

Question

A particle is subjected to a force which varies with displacement as shown in figure. The total work done is

Moderate

A

20J
B

30J
C

40J
D

50J

Solution

Work done=Area of F-S graph
$\begin{array}{l} W = [\frac{1}{2} \times 4 \times 5] + [4 \times 5] + [\frac{1}{2} \times 4 \times 5] \\ W = 10 + 20 + 10 \\ W = 40 J \end{array}$

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