Elastic Collision: Find Height of m2 After Incline

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SUMMARY

The discussion centers on an elastic collision problem involving two masses, m1 and m2, where m1 is four times the mass of m2. Initially, m1 moves at 13.8 m/s and m2 at -10.6 m/s. After the collision, m2 ascends a frictionless incline, reaching a height of 41.22 meters. The solution requires applying principles of conservation of momentum and energy in elastic collisions.

PREREQUISITES
  • Understanding of elastic collisions and conservation of momentum
  • Knowledge of kinetic energy and potential energy concepts
  • Familiarity with frictionless surfaces and incline problems
  • Basic algebra for solving equations
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  • Learn how to apply conservation of energy to incline problems
  • Explore detailed examples of mass and velocity calculations in collisions
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Paulie71199
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Homework Statement



Two masses of m1 and m2 collide elastically on a horizontal, frictionless surface. m1 is four times the mass of m2, and m1 is originally moving in the positive x direction at 13.8 m/s while m2 is moving in the negative x direction at 10.6 m/s. After the collision, m2 moves up a frictionless incline. To what height does m2 reach on the incline when it stops? Answer in meters.

Homework Equations





The Attempt at a Solution



The correct answer is 41.22 but I am unsure of how my professor got it.
 
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Hi Paulie! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

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