Which block falls off the table first? - Elastic collision

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SUMMARY

The discussion centers on an elastic collision scenario involving a 2kg block at rest on a frictionless table and a 1kg block moving at 4 m/s. The momentum conservation equations, p=mv, and kinetic energy equations, 1/2mv^2, are utilized to analyze the collision. The key conclusion is that after the collision, the velocities of both blocks can be calculated, determining which block will fall off the table first based on their respective distances from the edge and final velocities.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Knowledge of elastic collision equations
  • Familiarity with basic kinematics
  • Ability to solve quadratic equations
NEXT STEPS
  • Calculate final velocities after an elastic collision using the equations for momentum and kinetic energy
  • Explore the concept of frictionless surfaces in physics problems
  • Study the effects of mass and velocity on collision outcomes
  • Investigate real-world applications of elastic collisions in sports or vehicle dynamics
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of elastic collisions and their applications in real-world scenarios.

garretts16
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Homework Statement



A 2kg block is resting on a frictionless table. It is hit, head on, by a 1kg block heading at 4 m/s. The larger block is sitting 3m from the edge of a 5m long table. The collision happens with the smaller block's distance being 2m from the table and the larger blocks d = 3m from edge. Which block will fall off the table first? It's an elastic collision.

Homework Equations



I used p=mv and 1/2mv^2

The Attempt at a Solution



I was able to fine the momentum before, but I can't solve for the velocities.
 
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