Velocity of separation after impact Calculator

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✖The Coefficient of Restitution is the ratio of impulse during restitution period to the impulse during deformation period.ⓘ Coefficient of Restitution [e]			+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%

✖Velocity of separation typically refers to the relative velocity at which two objects move away from each other after a collision or any interaction.ⓘ Velocity of separation after impact [v_sep]

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Velocity of separation after impact

Formula

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

Example

`"4m/s"="0.5"*("18m/s"-"10m/s")`

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Velocity of separation after impact Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Separation = Coefficient of Restitution*(Initial Velocity of First Mass-Initial Velocity of Second Mass)
v_sep = e*(u₁-u₂)
This formula uses 4 Variables

Variables Used

Velocity of Separation - (Measured in Meter per Second) - Velocity of separation typically refers to the relative velocity at which two objects move away from each other after a collision or any interaction.
Coefficient of Restitution - The Coefficient of Restitution is the ratio of impulse during restitution period to the impulse during deformation 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

Coefficient of Restitution: 0.5 --> 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

v_sep = e*(u₁-u₂) --> 0.5*(18-10)

Evaluating ... ...

v_sep = 4

STEP 3: Convert Result to Output's Unit

4 Meter per Second --> No Conversion Required

FINAL ANSWER

4 Meter per Second <-- Velocity of Separation

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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National Institute of Technology (NIT), Tiruchirapalli

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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)

Velocity of separation after impact Formula

Velocity of Separation = Coefficient of Restitution*(Initial Velocity of First Mass-Initial Velocity of Second Mass)
v_sep = e*(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 Velocity of separation after impact?

Velocity of separation after impact calculator uses Velocity of Separation = Coefficient of Restitution*(Initial Velocity of First Mass-Initial Velocity of Second Mass) to calculate the Velocity of Separation, The Velocity of separation after impact formula is defined as the product of coefficient of restitution and difference of initial velocity of first body and initial velocity of second body. Velocity of Separation is denoted by v_sep symbol.

How to calculate Velocity of separation after impact using this online calculator? To use this online calculator for Velocity of separation after impact, enter Coefficient of Restitution (e), Initial Velocity of First Mass (u₁) & Initial Velocity of Second Mass (u₂) and hit the calculate button. Here is how the Velocity of separation after impact calculation can be explained with given input values -> 4 = 0.5*(18-10).

FAQ

What is Velocity of separation after impact?

The Velocity of separation after impact formula is defined as the product of coefficient of restitution and difference of initial velocity of first body and initial velocity of second body and is represented as v_sep = e*(u₁-u₂) or Velocity of Separation = Coefficient of Restitution*(Initial Velocity of First Mass-Initial Velocity of Second Mass). The Coefficient of Restitution is the ratio of impulse during restitution period to the impulse during deformation 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 Velocity of separation after impact?

The Velocity of separation after impact formula is defined as the product of coefficient of restitution and difference of initial velocity of first body and initial velocity of second body is calculated using Velocity of Separation = Coefficient of Restitution*(Initial Velocity of First Mass-Initial Velocity of Second Mass). To calculate Velocity of separation after impact, you need Coefficient of Restitution (e), Initial Velocity of First Mass (u₁) & Initial Velocity of Second Mass (u₂). With our tool, you need to enter the respective value for Coefficient of Restitution, 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 Velocity of Separation?

In this formula, Velocity of Separation uses Coefficient of Restitution, 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 -

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

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