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  4. 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=0 m to x=9 m . The work done by the force on the body when it reaches (i) x=4 m and (ii) x=7 m shall be as given below

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Q. 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=0\,m $ to $ x=9\,m $ . The work done by the force on the body when it reaches (i) $ x=4\,m $ and (ii) $ x=7\,m $ shall be as given belowPhysics Question Image

AMUAMU 2013Work, Energy and Power

Solution:

From figure Work done $(W) = \max$
$ W_{4}=2\left[ \frac{1}{2}\times 1\times 6+3\times 6 \right] = 42 \,J $
$ W_{7}=2\,[21+3-3-1\times 6] $
$ =30\,J $