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Question

Figure gives the acceleration of a 2.0 kg body as it moves from rest along x axis while a variable force acts on it from x=0m to x=9m. The work done by the force on the body when it reaches
(i) x=4m and
(ii)
x=7m shall be as given below
1215543_4b8b068bfdeb42289344320eb5e6a158.png

A
21 J and 33 J respectively
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B
21 J and 15 J respectively
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C
42 J and 60 J respectively
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D
42 J and 30 J respectively
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Solution

The correct option is D 42 J and 30 J respectively
1215543

We know,

W=F.dx=ma.dx

a.dx= Algebraic sum of Area under a-x curve.

At x=4m

Area=21, Work done=42J

At x=7m

Area=15, Work done=30J

Option D is the correct answer

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