Question

As shown in the figure below, cars #1 and #2 are sliding across a horizontal frictionless surface. The cars are equipped with a coupling arrangement similar to the one on railroad cars. Car #1 overtakes car #2 and they have a totally inelastic collision and become coupled together. You know the mass of each car; m1 = 14.5 kg and m2 = 42.0 kg. In addition, you are provided with the following graph, which shows the momentum of car #1 before, during and after the collision. momentum,ofcar #1 p(kg m/s) 100 40 t (s) Determine the velocity (in m/s) of car #2 before the collision. m/s

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Answer #1

Given:

From the graph:

1. Momentum of car-1 before collision = 100Kg-m/s

2.momentum of car-1 after collision = 40 Kg-m/s

velocity of car-1 after collision = 40/14.5 m/s

Law of conservation of momentum:

m1 x v1 +m2 x v2=(m1+m2) x vf

100 +42 x v2 = (14.5+42) x 40/14.5

v2= 1.33 m/s

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