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Question

The force vs displacement graph of a moving body is as shown in the figure. What is the work done as the body moves from x=5 m to x=35 m?


A
375 J
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B
575 J
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C
400 J
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D
475 J
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Solution

The correct option is A 375 J
The work done is given by the area under the force vs displacement graph.


From the graph, we can see that the work done for the displacement from x=5 to x=35 m is given by:

Area of ΔABD + Area of ANIC +
Area of ΔDGF + Area of GHNF +
Area of ΔHIJ - Area of JMLK

=12×10×10+20×10+12×20×5+5×20+12×30×520×5=50+200+50+100+75100
=375 J

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