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Two blocks of masses 8 kg and 21 kg are placed on a horizontal, frictionless surface. A light spring is attached to one of them, and the blocks are pushed together with the spring between them. A cord holding them together is burned, after which the block of mass 21 kg moves to the right with a speed of 13 m/s. What is the velocity of the other mass in m/s? Answer in units of m/s.
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Let the speed of the other mass in m/s be v.

Since, there is no external force on the two-mass system, the linear momentum of the two-mass system remains conserved.

Hence, for the two-mass system :

Initial Momentum = Final Momentum

=> 0 = (21 * 13) + (8 * v)

=> v = -34.125 m/s

Hence, the 8kg mass moves to the left with a speed 34.125 m/s.
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