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The relationship between the force F and...

The relationship between the force F and position x of body is as shown in figure. The work done in displacing the body 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

Text Solution

Verified by Experts

The correct Answer is:
B

Work done
`=`area under F-x graph
`=`area of rectangle ABCD`+` area of rectangle LCEF`+`area of rectangle GFIH`+`area of triangle IJK
`=(2-1)xx(10-0)+(3-2)(5-0)+(4-3)(-5-0)+(1)/(2)(5-4)(10-0)=15J`
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