First slide

Work

Question

Find the work done at the end of displacement 60cm in the graph shown.

Moderate

A

-1.5J
B

1.5J
C

15J
D

-1J

Solution

$\begin{array}{l} W=Area of Δ OAE+Area of Δ ABFE+Area of Δ BCF-Area of Δ C G H \\ W = [\frac{1}{2} \times 20 \times 5 + 20 \times 5 + \frac{1}{2} \times 10 \times 5 - \frac{1}{2} \times 10 \times 5] \frac{1}{100} \\ W = (50 + 100) \frac{1}{100} = \frac{150}{100} = 1.5 J \end{array}$

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