The relationship between the force F and position x 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
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a
30 J
b
15 J
c
25 J
d
20 J
answer is B.
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Detailed Solution
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)×(10−0)+(3−2)(5−0)+(4−3)(−5−0)+12(5−4)(10−0)=15 J
The relationship between the force F and position x 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