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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.

Solution Preview

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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