Kinematics
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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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