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Question

# A body of mass m moves with speed 2v and a body of mass 2m moves with speed v on a smooth horizontal surface, both along positive x axis. After some time, they collide and stick together. What is the speed of the system after they stick together?

A
2v3
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B
v3
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C
4v3
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D
5v3
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Solution

## The correct option is C 4v3Since both bodies are moving along +ve x− axis, the initial momentum of the system is, →Pi=m(2v) ^i+(2m)v ^i →Pi=4mv ^i After collision and sticking together, let the combined mass move with velocity v′ along +ve x−axis Since →Fext=0, we can apply conservation of linear momentum on system of m & 2m →Pi=−→Pf 4mv ^i=(3m)v′ ^i ∴v′=43v Hence, v′ is the speed of system after collision.

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