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Two blocks of masses 5 kg and 12 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 12 kg moves to the right with a speed of 6.3 m/s. What is the velocity of the other mass in m/s? Answer in units of m/s.

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Answer:

15.1m/s in opposite direction

Explanation:

-There's no external net force acting on the two blocks thus the linear momentum of the system is conserved.

-The momentum of the two blocks can be expressed as:

[tex]Initial \ Momentum= Final \ Momentum\\\\p_o=p_f\\\\0=(12\times 6.3)+5v\\\\75.6m/s =5v\\\\v=-15.1 \ m/s[/tex]

Hence, the 5kg mass has a speed of 15.1m/s in the opposite direction.

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