Elastic and inelastic collision formula

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SUMMARY

The discussion focuses on the principles of elastic and inelastic collisions in physics, specifically addressing the formula for relative velocities before and after collisions. It establishes that for elastic collisions, the relative speed of recession equals the negative of the relative speed of approach, represented by the equation v2 - v1 = - (v2 - v1). The coefficient of restitution (e) is introduced as a measure of elasticity, with values of e equal to 1 for elastic collisions and 0 for perfectly inelastic collisions. Additionally, the coefficient of restitution for steel colliding with steel is noted as 0.95, which is used to calculate the rebound height from a given drop height.

PREREQUISITES
  • Understanding of basic physics concepts, particularly momentum and kinetic energy.
  • Familiarity with the coefficient of restitution and its implications in collision scenarios.
  • Knowledge of elastic and inelastic collision definitions and characteristics.
  • Ability to solve equations involving two variables in physics contexts.
NEXT STEPS
  • Study the derivation of the coefficient of restitution in various collision scenarios.
  • Learn about conservation of momentum in both elastic and inelastic collisions.
  • Explore practical applications of collision formulas in real-world physics problems.
  • Investigate the effects of material properties on the coefficient of restitution in different materials.
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of collisions and their mathematical representations.

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i don't know how am i supposed to answer this Physics question..all i know its about generating a formula or something like that..here's the problem:

1.a)For an elastic, two-body head-on collisions, show that the general v2 - v1 = - (v2 - v1). That is, relative speed of recession after the collision is the same as the relative speed of approach before it.

1.b)In general, a collision is completely inelastic, completely elastic, or somewhere in between the degree of elasticity is sometimes expressed as the coefficient of restitution (e), defined as the relative velocity of recession and approach:
v2 - v1 = -e (v2o - v1o)
What are the values of e for elastic collision and a perfectly inelastic collision?


last question:
2. The coefficient of restitution for steel colliding with steel is 0.95. If steel is dropped from a height ho above steel plate, to what height will the ball rebound?

note: v,h are the coefficient while the next are its subscript..
thanks in advance..
 
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Well you know that in both cases, momentum is conserved. But only in the elastic collision is kinetic energy conserved.

(Two equations, two unknown :wink: )
 

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