Three identical train cars, coupled together, are rolling east at speed v0. A fourth car traveling east at 2v0 catches up with the three and couples to make a four-car train. A moment later, the train cars hit a fifth car that was at rest on the tracks, and it couples to make a five-car train. What is the speed of the five-car train?

Q:Three identical train cars, coupled together, are rolling east at speed v0. A fourth car travelingeast at 2v0 catches up with the three and couples to make a four-car train. A moment later, thetrain cars hit a fifth car that was at rest on the tracks, and it couples to make a five-car train.What is the speed of the five-car train Step By Step SolutionStep 1 of 3:Case 1:Three identical train cars moving east with an initial velocity collides with another identicalfourth train car also moving in east with an initial velocity thus making a four car system andcontinues to move in east direction.This is an example of perfectly inelastic collisionMass of individual car:Mass of 3 car system:Initial velocity of 3 car system:Mass of fourth car:Initial velocity of 4th car: