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Work

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Question

The work done by a force acting on a body is as shown in the graph. The total work done in covering an initial distance of $20 m$ is

A

225 J

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B

212.5 J

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C

400 J

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D

175 J

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Solution

The correct option is B $212.5 J$
Work done is equal to the area under the graph.
From $0 - 5$ : $W_{1} = 37.5 J$
From $5 - 15$ : $W_{2} = 100 J$
From $15 - 20$ : $W_{3} = 75 J$
Total work done $= 37.5 + 100 + 75 = 212.5 J$

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