Mario T. answered • 12/02/15

Tutor

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Cornell University Class of 2015 BS in Mechanical Engineering

m1v1 + m2v2 = m1v1 + m2v2 --> left side of equation is initial, right side is final. m means mass, v means velocity

I'm assuming the second cart is stationary. So v2 initial = 0

Since after the collision, the two carts stick, we have one velocity for the two objects that we will call Vf.

So we get m1v1 initial = (m1+m2)vf

so vf = m1v1/(m1+m2)

In words, this means the initial velocity gets scaled by the ratio of the initial mass to the total mass of the two carts.