A train car with mass m1 = 594.0 kg is moving to the right with a speed of v1 =

Question

A train car with mass m1 = 594.0 kg is moving to the right with a speed of v1 = 7.4 m/s and collides with a second train car. The two cars latch together during the collision and then move off to the right at vf = 4.7 m/s.

Now the same two cars are involved in a second collision. The first car is again moving to the right with a speed of v1 = 7.4 m/s and collides with the second train car that is now moving to the left with a velocity v2 = -5.7 m/s before the collision. The two cars latch together at impact.
What is the final velocity of the two-car system? (A positive velocity means the two train cars move to the right

Explanation / Answer

Case1:Conserving momentum,

594*7.4=(594+M)*4.7

M=341.2kg

Case 2:Conserving momentum,

594*7.4-341.2*5.7=(594+341.2)v

v=+2.62m/s

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