PhysicsClassical Physics

Inelastic Collision: Final Velocity of Two Coupled Train Cars

Use signed momentum conservation to find the common velocity of two oppositely moving train cars after a perfectly inelastic coupling collision.

Question

Two loaded train cars approach each other and couple on impact. The first car has mass 150,000 kg and velocity +0.300 m/s; the second has mass 110,000 kg and velocity −0.120 m/s. What is their common final velocity?

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Evidence boundary

The standard textbook collision model neglects the net external impulse along the track during coupling. No measured collision duration, peak force, or energy partition is supplied.