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A spring is held compressed. Its stored energy is 2. 4 joule. Its ends are in contact with masses of 1 gm and 48 gm placed on a smooth horizontal surface. When the spring is released, the mass will acquire a velocity of

a
2¯⋅40149m/s
b
24×4948m/s
c
107m/s
d
1047m/s

detailed solution

Correct option is C

12×11000×v12+12×481000×v22=2⋅4  or  v12+48v22=2⋅4×2000=4800 Applying the law of conservation of momentum 11000v1=481000v2  or  v1=48v2 Frorn eq. [1), we have 48v22+48v22=4800  Solving, we get v2=(10/7)m/s

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Similar Questions

Two similar springs P and Q have spring constants Kp and KQ such that Kp > KQ. They are stretched first by the same amount (case a), then by the same force (case b). The work done by the springs WP and WQ are related as, in case (a) and case (b), respectively.


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