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Q.

Two ablocks of mass 2 kg  are connected by a massless ideal spring of spring constant K = 10  N/m.  The upper block is suspended from roof by a light string ‘A’.  The system shown is in equilibrium.  The string ‘A’ is now cut, the acceleration of upper block just after the string ‘A’ is cut will be (g = 10 m/s2)

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a

20 m/s2

b

10 m/s

c

0 m/s2

d

15 m/s2

answer is B.

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Detailed Solution

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Before the string A is cut, let x be elongation in the spring.

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As system is in equilibrium

 Then for lower block,

 Kx = mg = 20 N

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For upper block

 ma = kx + mg

  2a = 20 + 20

   a = 20 m/s2

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