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Physique

Calculatrice vérifiée avec une formule transparente

Physique

Collision Elasticity Calculator.

Calculates the coefficient of restitution for a collision between two objects, measuring how elastic the collision is.

Les résultats se mettent à jour en direct pendant que vous tapez.
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Vos entrées

Comment ça marche

  1. 1

    Measure the relative velocity of the two objects just before collision.

  2. 2

    Measure the relative velocity just after collision.

  3. 3

    Divide the after velocity by the before velocity.

  4. 4

    The result is the coefficient of restitution (e).

relative_velocity_after / max(relative_velocity_before, 0.0001)

Questions fréquentes

What does a coefficient of restitution of 1 mean?

It means a perfectly elastic collision where kinetic energy is conserved and relative velocity is unchanged.

What does a coefficient of 0 mean?

It means a perfectly inelastic collision where objects stick together and relative velocity after is zero.

Can the coefficient be greater than 1?

In real collisions, no. Values above 1 would imply energy is gained, which is not physically possible.

Explorer cette catégorie de calculatrices

Résultats

Formule vérifiée

Coefficient of restitution

0,8

Estimation à titre indicatif uniquement — vérifiez les décisions importantes avec un professionnel approprié.

Comment ça marche

Calculates the coefficient of restitution for a collision between two objects, measuring how elastic the collision is.

  1. Measure the relative velocity of the two objects just before collision.
  2. Measure the relative velocity just after collision.
  3. Divide the after velocity by the before velocity.
  4. The result is the coefficient of restitution (e).

Formules

Les mathématiques derrière cette calculatrice, écrites pour que vous puissiez vérifier le résultat.

Coefficient of Restitution

e = v_after / v_before

The ratio of relative speed after collision to relative speed before collision.

Example:

Input: v_before = 10 m/s, v_after = 8 m/s

Calculation: e = 8 / 10

Result: e = 0.8

Cas d'utilisation réels

Où ce calcul apparaît dans la vie quotidienne.

Sports equipment testing

Measure the bounce of a ball to ensure it meets regulations.

Example: A tennis ball must have a coefficient between 0.5 and 0.75.

Vehicle safety design

Evaluate crumple zones by measuring how much kinetic energy is absorbed.

Example: Lower e means more energy absorbed, safer for occupants.

Physics education

Demonstrate elastic and inelastic collisions in the classroom.

Example: Compare steel balls (e≈0.95) to clay (e≈0).

Conseils et erreurs courantes

Tips

  • Use consistent units for both velocities.
  • Ensure velocities are measured along the same line.
  • For real collisions, e is between 0 and 1.
  • A perfectly elastic collision is an idealization.

Common Mistakes to Avoid

  • Using absolute speeds instead of relative velocities.
  • Forgetting that the after velocity can be zero.
  • Assuming e is always constant for a material.

Hypothèses et limites

  • Use the stated inputs and units.
  • Results are estimates for planning and education.
  • Check measurements and source data before making an important decision.