Answer to Question #347247 in Physics for Hange

Question #347247

A 50 kg tricycle travelling 6 m/s east and another tricycle with the same mass moving to the west at 3 m/s collided. Suppose the



collision did not damage any of the vehicles but caused the tricycles to move to the west at 3 m/s and to the east at 6 m/s, respectively.



Prove the law of conservation of momentum in this scenario.

1
Expert's answer
2022-06-01T12:48:59-0400

Given:

m1=m2=mm_1=m_2=m

v1x=6m/sv_{1x}=6\:\rm m/s

v2x=3m/sv_{2x}=-3\:\rm m/s

v1x=3m/sv_{1x}'=-3\:\rm m/s

v2x=6m/sv_{2x}'=6\:\rm m/s

The law of conservation of the momentum says

m1v1x+m2v2x=m1v1x+m2v2xm_1v_{1x}+m_2v_{2x}=m_1v_{1x}'+m_2v_{2x}'

m6+m(3)=m(3)+m6m*6+m*(-3)=m*(-3)+m*6

3m=3m3m=3m

Thus, the momentum of the system is conserved.


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