Q.

In the shown arrangement of three identical blocks each of mass m = 1 kg and an ideal spring  (k=300N/m), if the system is set free when spring was in its natural lengths.
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a

Maximum speed of each block =  13m/s

b

At x=2mgK  speed is maximum

c

Maximum speed of each block =  23m/s

d

Maximum speed will be at equilibrium position

answer is A, B, D.

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Detailed Solution

V=VMax  at x=2mgk

ΔPE=ΔKE

(2mg)x=12Kx2+12(3m)(Vi2)V=2gm3K=23m/s

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