Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: Kinematics
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Priyesh (1601)

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a) work done = change in kinetic enrgy


work done from x = 1m to x =0.5m     =  integral -k/2x^2dx (x from 1 to .5)


= [k/2 * 1/x] = k/2


=>k/2 = 1/2mv^2  => v^2 = k/m =.01/.01 = 1


since intitially particle is at rest & acceleration is towards left hence final velocity is also left hence v = - 1m/sec


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