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Coefficient of Restitution Formula

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Coefficient of Restitution is a measure of the ratio of the final to initial relative velocity between two objects after a collision. Check FAQs

e = \frac{v 1 - v 2}{u 2 - u 1}

e - Coefficient of Restitution?v₁ - Final Velocity of Body A After Elastic Collision?v₂ - Final Velocity of Body B After Elastic Collision?u₂ - Initial Velocity of Body B Before the Collision?u₁ - Initial Velocity of Body A Before the Collision?

Coefficient of Restitution Example

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Here is how the Coefficient of Restitution equation looks like with Values.

Here is how the Coefficient of Restitution equation looks like with Units.

Here is how the Coefficient of Restitution equation looks like.

0.8333 = \frac{12 - 8}{10 - 5.2}

0.8333 = \frac{12m/s - 8m/s}{10m/s - 5.2m/s}

0.8333 = \frac{12 - 8}{10 - 5.2}

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Coefficient of Restitution Solution

Follow our step by step solution on how to calculate Coefficient of Restitution?

FIRST Step Consider the formula

e = \frac{v 1 - v 2}{u 2 - u 1}

Next Step Substitute values of Variables

∴

e = \frac{12m/s - 8m/s}{10m/s - 5.2m/s}

Next Step Prepare to Evaluate

∴

e = \frac{12 - 8}{10 - 5.2}

Next Step Evaluate

∴

e = 0.833333333333333

LAST Step Rounding Answer

∴

e = 0.8333

Coefficient of Restitution Formula Elements

Variables

Coefficient of Restitution

Coefficient of Restitution is a measure of the ratio of the final to initial relative velocity between two objects after a collision.

Symbol: e

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Restitution

Final Velocity of Body A After Elastic Collision

Final Velocity of Body A After Elastic Collision is the velocity of body A after a perfectly elastic collision with another body.

Symbol: v₁

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Final Velocity of Body A After Elastic Collision

Final Velocity of Body B After Elastic Collision

Final Velocity of Body B After Elastic Collision is the velocity of body B after a perfectly elastic collision with another body, resulting in a transfer of momentum.

Symbol: v₂

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Final Velocity of Body B After Elastic Collision

Initial Velocity of Body B Before the Collision

Initial Velocity of Body B Before the Collision is the velocity of body B before it collides with another body in a kinetic motion.

Symbol: u₂

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Initial Velocity of Body B Before the Collision

Initial Velocity of Body A Before the Collision

Initial Velocity of Body A Before the Collision is the velocity of body A before it collides with another body, affecting the motion of both objects.

Symbol: u₁

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Initial Velocity of Body A Before the Collision

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How to Evaluate Coefficient of Restitution?

Coefficient of Restitution evaluator uses Coefficient of Restitution = (Final Velocity of Body A After Elastic Collision-Final Velocity of Body B After Elastic Collision)/(Initial Velocity of Body B Before the Collision-Initial Velocity of Body A Before the Collision) to evaluate the Coefficient of Restitution, Coefficient of Restitution formula is defined as a measure of the ratio of the final to initial relative velocities between two objects after a collision, providing insight into the energy transfer and momentum exchange during the interaction. Coefficient of Restitution is denoted by e symbol.

How to evaluate Coefficient of Restitution using this online evaluator? To use this online evaluator for Coefficient of Restitution, enter Final Velocity of Body A After Elastic Collision (v₁), Final Velocity of Body B After Elastic Collision (v₂), Initial Velocity of Body B Before the Collision (u₂) & Initial Velocity of Body A Before the Collision (u₁) and hit the calculate button.

FAQs on Coefficient of Restitution

What is the formula to find Coefficient of Restitution?

The formula of Coefficient of Restitution is expressed as Coefficient of Restitution = (Final Velocity of Body A After Elastic Collision-Final Velocity of Body B After Elastic Collision)/(Initial Velocity of Body B Before the Collision-Initial Velocity of Body A Before the Collision). Here is an example- 0.833333 = (12-8)/(10-5.2).

How to calculate Coefficient of Restitution?

With Final Velocity of Body A After Elastic Collision (v₁), Final Velocity of Body B After Elastic Collision (v₂), Initial Velocity of Body B Before the Collision (u₂) & Initial Velocity of Body A Before the Collision (u₁) we can find Coefficient of Restitution using the formula - Coefficient of Restitution = (Final Velocity of Body A After Elastic Collision-Final Velocity of Body B After Elastic Collision)/(Initial Velocity of Body B Before the Collision-Initial Velocity of Body A Before the Collision).

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Coefficient of Restitution Formula

Coefficient of Restitution Example

Coefficient of Restitution Solution

Coefficient of Restitution Formula Elements

Other formulas in Kinetics category

How to Evaluate Coefficient of Restitution?

FAQs on Coefficient of Restitution

Variable Name