Coefficient of restitution of two colliding bodies Calculator

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✖Final Velocity of Second Mass is the velocity which the body has at the end of the given time period.ⓘ Final Velocity of Second Mass [v₂]			+10% -10%
✖Final Velocity of First Mass is the velocity which the body has at the end of the given time period.ⓘ Final Velocity of First Mass [v₁]			+10% -10%
✖The Initial Velocity of First Mass is the starting velocity with which mass is projected.ⓘ Initial Velocity of First Mass [u₁]			+10% -10%
✖The Initial Velocity of Second Mass is the starting velocity with which the object is projected.ⓘ Initial Velocity of Second Mass [u₂]			+10% -10%

✖The Coefficient of Restitution is the ratio of impulse during restitution period to the impulse during deformation period.ⓘ Coefficient of restitution of two colliding bodies [e]

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Coefficient of restitution of two colliding bodies

Formula

`"e" = ("v"_{"2"}-"v"_{"1"})/("u"_{"1"}-"u"_{"2"})`

Example

`"0.5"=("20m/s"-"16m/s")/("18m/s"-"10m/s")`

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Coefficient of restitution of two colliding bodies Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Restitution = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Initial Velocity of First Mass-Initial Velocity of Second Mass)
e = (v₂-v₁)/(u₁-u₂)
This formula uses 5 Variables

Variables Used

Coefficient of Restitution - The Coefficient of Restitution is the ratio of impulse during restitution period to the impulse during deformation period.
Final Velocity of Second Mass - (Measured in Meter per Second) - Final Velocity of Second Mass is the velocity which the body has at the end of the given time period.
Final Velocity of First Mass - (Measured in Meter per Second) - Final Velocity of First Mass is the velocity which the body has at the end of the given time period.
Initial Velocity of First Mass - (Measured in Meter per Second) - The Initial Velocity of First Mass is the starting velocity with which mass is projected.
Initial Velocity of Second Mass - (Measured in Meter per Second) - The Initial Velocity of Second Mass is the starting velocity with which the object is projected.

STEP 1: Convert Input(s) to Base Unit

Final Velocity of Second Mass: 20 Meter per Second --> 20 Meter per Second No Conversion Required
Final Velocity of First Mass: 16 Meter per Second --> 16 Meter per Second No Conversion Required
Initial Velocity of First Mass: 18 Meter per Second --> 18 Meter per Second No Conversion Required
Initial Velocity of Second Mass: 10 Meter per Second --> 10 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e = (v₂-v₁)/(u₁-u₂) --> (20-16)/(18-10)

Evaluating ... ...

e = 0.5

STEP 3: Convert Result to Output's Unit

0.5 --> No Conversion Required

FINAL ANSWER

0.5 <-- Coefficient of Restitution

(Calculation completed in 00.004 seconds)

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< 9 Elastic Bodies Calculators

Loss of kinetic energy during impact

Go Kinetic Energy = (1/2)*(((Mass of First Particle*(Initial Velocity of First Mass^2))+(Mass of Second Particle*(Initial Velocity of Second Mass^2)))-((Mass of First Particle*(Final Velocity of First Mass^2))+(Mass of Second Particle*(Final Velocity of Second Mass^2))))

Total Kinetic Energy of Two Bodies before Impact

Go Kinetic Energy Before Impact = (1/2)*((Mass of First Particle*(Initial Velocity of First Mass^2))+(Mass of Second Particle*(Initial Velocity of Second Mass^2)))

Total kinetic energy of two bodies after impact

Go Kinetic Energy After Impact = (1/2)*((Mass of First Particle*(Final Velocity of First Mass^2))+(Mass of Second Particle*(Final Velocity of Second Mass^2)))

Coefficient of restitution of two colliding bodies

Go Coefficient of Restitution = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Initial Velocity of First Mass-Initial Velocity of Second Mass)

Velocity of separation after impact

Go Velocity of Separation = Coefficient of Restitution*(Initial Velocity of First Mass-Initial Velocity of Second Mass)

Velocity of approach

Go Velocity of Approach = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Coefficient of Restitution)

Velocity of approach in indirect impact of body with fixed plane

Go Velocity of Approach = Initial Velocity of Mass*cos(Angle between Initial Velocity and Line of Impact)

Velocity of separation in indirect impact of body with fixed plane

Go Velocity of Separation = Final Velocity of Mass*cos(Angle between Final Velocity and Line of Impact)

Coefficient of restitution of freely falling body having height and bounce

Go Coefficient of Restitution = sqrt(Bounce of a freely falling body/Height of freely falling body)

Coefficient of restitution of two colliding bodies Formula

Coefficient of Restitution = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Initial Velocity of First Mass-Initial Velocity of Second Mass)
e = (v₂-v₁)/(u₁-u₂)

What is coefficient of restitution?

Coefficient of restitution is the ratio of impulse during restitution period to the impulse during deformation period. Its is also defined as the ratio of relative velocity of separation to the relative velocity of approach of the colliding bodies, relative velocities being measured in the line of impact.

How to Calculate Coefficient of restitution of two colliding bodies?

Coefficient of restitution of two colliding bodies calculator 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 calculate 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 calculate Coefficient of restitution of two colliding bodies using this online calculator? To use this online calculator 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. Here is how the Coefficient of restitution of two colliding bodies calculation can be explained with given input values -> 0.5 = (20-16)/(18-10).

FAQ

What is Coefficient of restitution of two colliding bodies?

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 and is represented as e = (v₂-v₁)/(u₁-u₂) or Coefficient of Restitution = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Initial Velocity of First Mass-Initial Velocity of Second Mass). Final Velocity of Second Mass is the velocity which the body has at the end of the given time period, Final Velocity of First Mass is the velocity which the body has at the end of the given time period, The Initial Velocity of First Mass is the starting velocity with which mass is projected & The Initial Velocity of Second Mass is the starting velocity with which the object is projected.

How to calculate Coefficient of restitution of two colliding bodies?

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 is calculated using Coefficient of Restitution = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Initial Velocity of First Mass-Initial Velocity of Second Mass). To calculate Coefficient of restitution of two colliding bodies, you need Final Velocity of Second Mass (v₂), Final Velocity of First Mass (v₁), Initial Velocity of First Mass (u₁) & Initial Velocity of Second Mass (u₂). With our tool, you need to enter the respective value for Final Velocity of Second Mass, Final Velocity of First Mass, Initial Velocity of First Mass & Initial Velocity of Second Mass and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Coefficient of Restitution?

In this formula, Coefficient of Restitution uses Final Velocity of Second Mass, Final Velocity of First Mass, Initial Velocity of First Mass & Initial Velocity of Second Mass. We can use 1 other way(s) to calculate the same, which is/are as follows -

Coefficient of Restitution = sqrt(Bounce of a freely falling body/Height of freely falling body)

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