A 7.27 kg block is attached to a spring with spring constant41 N/m. While the bl

Question

A 7.27 kg block is attached to a spring with spring constant41 N/m. While the block is sitting at rest, a student hits it witha hammer and almost instantaneously gives it a speed of 53 cm/s.What are
The amplitude of the subsequent oscillations? The block's speed at the point wherex=0.6·A? A 7.27 kg block is attached to a spring with spring constant41 N/m. While the block is sitting at rest, a student hits it witha hammer and almost instantaneously gives it a speed of 53 cm/s.What are
The amplitude of the subsequent oscillations? The block's speed at the point wherex=0.6·A?

Explanation / Answer

given mass m = 7.27 kg spring constant k = 41N/m speed v = 53*10-2 m/s from conservation of energy we have 1/2*mv2 = 1/2*kA2    or        kA2 =mv2         or            A= {mv2/k}                = ----------- here x = 0.6A we have the speed of the block as        v =(A2-x2)       (here = {k/m} )           =-------------               or        kA2 =mv2         or            A= {mv2/k}                = ----------- here x = 0.6A we have the speed of the block as        v =(A2-x2)       (here = {k/m} )           =-------------                    or            A= {mv2/k}                = ----------- here x = 0.6A we have the speed of the block as        v =(A2-x2)       (here = {k/m} )           =-------------           

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