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Collision on an air track

  • #1

Homework Statement


A 0.147 glider is moving to the right on a frictionless, horizontal air track with a speed of 0.870 . It has a head-on collision with a 0.292 glider that is moving to the left with a speed of 2.20 . Suppose the collision is elastic. What is the magnitude of the final velocity of both
carts after the collision?


Homework Equations



M1U1+M2U2=M1V1+M2V2

The Attempt at a Solution


I can setup the equation and determine the direction both carts are traveling after the collision but with 2 unknowns for the final speeds I dont know how to find the exact speed each is traveling after the collision.
 

Answers and Replies

  • #2
PhanthomJay
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If th collision is perfectly elastic, there is a 2nd equation you can use. What else is conserved besides momentum in an elastic collision?
 
  • #3
Wouldn't Kinetic energy also be conserved?
 
  • #4
PhanthomJay
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  • #5
ok so I would set the initial kinetic energy equal to the final kinetic energy and solve for the velocity right?
 
  • #6
PhanthomJay
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ok so I would set the initial kinetic energy equal to the final kinetic energy and solve for the velocity right?
you'd have to sove the 2 equations with 2 unknowns for the velocities...as I recall, it is a little tricky..but nonetheless, solvable.
 
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