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Q.

A spring is held compressed so that its stored energy is 2.4 J.lts ends are in contact with masses 1 g and 48 g placed on a frictionless table. When the spring is released, the heavier mass will acquire a speed of:

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a

1037cms-1

b

2.4×4849ms-1

c

2.449ms-1

d

1067 cms-1

answer is C.

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Detailed Solution

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12m1v21+12m2v22  = 2.4

or m1v21+m2v22 = 4.8-------(i)

Now m1v1 = m2v2  or v1= 48v2

Using(i), 11000(48v2)2+481000v22 = 4.8

or v2 = 107 m/s = 1037cm/sec

 

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