Predict Whether Collision will be Elastic or Inelastic

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SUMMARY

The discussion centers on determining the nature of a collision between a car and a mass attached to a spring. Given that both the car and the mass have approximately equal mass, the collision is classified as inelastic. The reasoning is based on the conservation of linear momentum, which is not upheld due to the spring force acting on the mass. The relevant equations for elastic and inelastic collisions were provided, highlighting the differences in momentum and kinetic energy conservation.

PREREQUISITES
  • Understanding of basic physics concepts related to collisions
  • Familiarity with the equations of motion for elastic and inelastic collisions
  • Knowledge of momentum conservation principles
  • Basic grasp of spring mechanics and forces
NEXT STEPS
  • Study the principles of momentum conservation in collisions
  • Learn about the characteristics of elastic and inelastic collisions
  • Explore the role of spring forces in dynamic systems
  • Review examples of collision problems in physics textbooks
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding collision dynamics and energy conservation principles.

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Homework Statement


A mass sits on the end of a spring and is at equilibrium.
Code:
|          	
|         ,---.                   ___/'''\_
|/\/\/\/\/|_m_|________________()' o_____o '_________________

A car is costing gracefully towards the mass. The car has a semi-rigid rubber tire mounted on its front. The mass of the mass and mass of the car are approximately equal mass. When the car collides with the mass will the collision be elastic or inelastic?

Homework Equations


There are basic equations for collision problems. In elastic collisions

m1*v1_i + m2*v2_i = m1*v1_final + m2*v2_final

In inelastic collisions

m1*v1_i + m2*v2_i = (m1+m2)*v_f

In both types of problems kinetic energy in conserved and

m1*v1_i^2 + m2*v2_i^2 = m1*v1_final^2 + m2*v2_final^2

The Attempt at a Solution


The problem is to determine what type of collision is at hand. As far as attempting a solution, I can't really go any farther than this.
 
Last edited:
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The collision can't be elastic as due to the spring force, linear momentum along the x-axis is not conserved and that's a condition for elastic collisions.
 

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