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Velocities After Collision In One Dimension

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A 1055 kg van, stopped at a traffic light, is hit directly in the rear by a 770 kg car traveling with a velocity of +2.30 m/s. Assume that the transmission of the van is in neutral, the brakes are not being applied, and the collision is elastic. What is the final velocity of each vehicle?

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Solution Summary

The solution shows detailed steps of finding out the velocities of the van and the car after the elastic collision.

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For an elastic collision, both the momentum and kinetic energy are conserved.

Let us denote the velocity of the van as x after the collision, the velocity of the car as y.
M = mass of van
m = mass of car
v = car ...

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