Coefficient of restitution in two dimensions

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SUMMARY

The discussion focuses on calculating the speed and angle of reflection of a ball with mass m that strikes the floor at speed v and angle theta, utilizing the coefficient of restitution e. The key takeaway is that momentum conservation applies in the x-direction, while the coefficient of restitution governs the relative motion components in the direction of impact. The participants clarify the application of e in determining the reflected ball's characteristics.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Familiarity with the coefficient of restitution
  • Basic knowledge of vector components in two-dimensional motion
  • Ability to apply trigonometric functions to solve for angles
NEXT STEPS
  • Study the mathematical derivation of the coefficient of restitution in two dimensions
  • Learn how to apply conservation of momentum in collision problems
  • Explore examples of two-dimensional collisions in physics
  • Investigate the role of angles in projectile motion and impact analysis
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators and anyone interested in understanding the dynamics of collisions in two dimensions.

carlyn medona

Homework Statement


A ball of mass m hits the floor with a speed v making
an angle of incidence theta with the normal. The coefficient
of restitution is e. Find the speed of the reflected ball and
the angle of reflection of the ball.

The Attempt at a Solution


I know that momentum is conserved in x direction. so I got one equation.
Now how do I use e in this problem[/B]
 

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carlyn medona said:
how do I use e in this problem
That coefficient applies to the component of relative motion in the direction of the impact forces.
 
Okay sorry for replying late, and thanks a lot.
 

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