question_answer

The relationship between the force F and position -v of a body is as shown in figure. The work done in displacing the body from x = 1 m to x = 5 m will be:

A)  30 J

B)  15 J

C)  25 J

D)  20 J

Correct Answer: B

Solution :

Work done = area enclosed by F-x graph. = area of ABNM + area of CDEN - area of EFGH+ area of HIJ \[=1\times 10+1\times 5-1\times 5+\frac{1}{2}\times 1\times 10\] \[=10+5-5+5=15J\]