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Coefficient of restitution of two colliding bodies Formula

GoCoefficient of restitution of freely falling body having height and bounce Formula

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The Coefficient of Restitution is the ratio of impulse during restitution period to the impulse during deformation period. Check FAQs

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

e - Coefficient of Restitution?v₂ - Final Velocity of Second Mass?v₁ - Final Velocity of First Mass?u₁ - Initial Velocity of First Mass?u₂ - Initial Velocity of Second Mass?

Coefficient of restitution of two colliding bodies Example

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Here is how the Coefficient of restitution of two colliding bodies equation looks like with Values.

Here is how the Coefficient of restitution of two colliding bodies equation looks like with Units.

Here is how the Coefficient of restitution of two colliding bodies equation looks like.

0.5 = \frac{20 - 16}{18 - 10}

0.5 = \frac{20m/s - 16m/s}{18m/s - 10m/s}

0.5 = \frac{20 - 16}{18 - 10}

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Coefficient of restitution of two colliding bodies Solution

Follow our step by step solution on how to calculate Coefficient of restitution of two colliding bodies?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

e = \frac{20m/s - 16m/s}{18m/s - 10m/s}

Next Step Prepare to Evaluate

∴

e = \frac{20 - 16}{18 - 10}

LAST Step Evaluate

∴

e = 0.5

Coefficient of restitution of two colliding bodies Formula Elements

Variables

Coefficient of Restitution

The Coefficient of Restitution is the ratio of impulse during restitution period to the impulse during deformation period.

Symbol: e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient of Restitution

Final Velocity of Second Mass

Final Velocity of Second Mass is the velocity which the body has at the end of the given time period.

Symbol: v₂

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Final Velocity of Second Mass

Final Velocity of First Mass

Final Velocity of First Mass is the velocity which the body has at the end of the given time period.

Symbol: v₁

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Final Velocity of First Mass

Initial Velocity of First Mass

The Initial Velocity of First Mass is the starting velocity with which mass is projected.

Symbol: u₁

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Initial Velocity of First Mass

Initial Velocity of Second Mass

The Initial Velocity of Second Mass is the starting velocity with which the object is projected.

Symbol: u₂

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Initial Velocity of Second Mass

Other Formulas to find Coefficient of Restitution

Go Coefficient of restitution of freely falling body having height and bounce

e = \sqrt{\frac{h b}{h o}}

How to Evaluate Coefficient of restitution of two colliding bodies?

Coefficient of restitution of two colliding bodies evaluator uses Coefficient of Restitution = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Initial Velocity of First Mass-Initial Velocity of Second Mass) to evaluate the Coefficient of Restitution, The Coefficient of restitution of two colliding bodies formula is defined as the ratio of difference of final velocities to the difference of initial velocities of two colliding objects. Coefficient of Restitution is denoted by e symbol.

How to evaluate Coefficient of restitution of two colliding bodies using this online evaluator? To use this online evaluator for Coefficient of restitution of two colliding bodies, enter Final Velocity of Second Mass (v₂), Final Velocity of First Mass (v₁), Initial Velocity of First Mass (u₁) & Initial Velocity of Second Mass (u₂) and hit the calculate button.

FAQs on Coefficient of restitution of two colliding bodies

What is the formula to find Coefficient of restitution of two colliding bodies?

The formula of Coefficient of restitution of two colliding bodies is expressed as Coefficient of Restitution = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Initial Velocity of First Mass-Initial Velocity of Second Mass). Here is an example- 0.5 = (20-16)/(18-10).

How to calculate Coefficient of restitution of two colliding bodies?

With Final Velocity of Second Mass (v₂), Final Velocity of First Mass (v₁), Initial Velocity of First Mass (u₁) & Initial Velocity of Second Mass (u₂) we can find Coefficient of restitution of two colliding bodies using the formula - Coefficient of Restitution = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Initial Velocity of First Mass-Initial Velocity of Second Mass).

What are the other ways to Calculate Coefficient of Restitution?

Here are the different ways to Calculate Coefficient of Restitution-

Coefficient of Restitution=sqrt(Bounce of a Freely Falling Body/Height of Freely Falling Body)

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Coefficient of restitution of two colliding bodies Formula

​GoCoefficient of restitution of freely falling body having height and bounce Formula

Coefficient of restitution of two colliding bodies Example

Coefficient of restitution of two colliding bodies Solution

Coefficient of restitution of two colliding bodies Formula Elements

Other Formulas to find Coefficient of Restitution

How to Evaluate Coefficient of restitution of two colliding bodies?

FAQs on Coefficient of restitution of two colliding bodies

Variable Name

GoCoefficient of restitution of freely falling body having height and bounce Formula