A cart of mass m moving right at speed v collides with an identical cart moving right at half the speed. the carts stick together. what is their speed after the collision

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W0lf93
After collison they stick together and have same velocity Vf From the momentum conservation, (m1 + m2)Vf = m1v1 + m2v2 Second is moving with half of first cart speed, (m1 + m2)Vf = m1v + m2v / 2 2(m1 + m2)Vf = (2m1v + m2v) =>Vf = ((2m1 + m2) v) / 2(m1 + m2) Identical carts so m1 = m2 = m vf = 3mv / 4m => Vf = 3v / 4