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

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✖Bounce of a freely falling body is the distance bounced by a freely falling body after it had collided with the ground.ⓘ Bounce of a freely falling body [h_b]			+10% -10%
✖Height of freely falling body is the distance from ground to the object located at some height.ⓘ Height of freely falling body [h_o]			+10% -10%

✖The Coefficient of Restitution is the ratio of impulse during restitution period to the impulse during deformation period.ⓘ Coefficient of restitution of freely falling body having height and bounce [e]

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Coefficient of restitution of freely falling body having height and bounce

Formula

`"e" = sqrt("h"_{"b"}/"h"_{"o"})`

Example

`"0.502398"=sqrt("315m"/"1248m")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Restitution = sqrt(Bounce of a freely falling body/Height of freely falling body)
e = sqrt(h_b/h_o)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Coefficient of Restitution - The Coefficient of Restitution is the ratio of impulse during restitution period to the impulse during deformation period.
Bounce of a freely falling body - (Measured in Meter) - Bounce of a freely falling body is the distance bounced by a freely falling body after it had collided with the ground.
Height of freely falling body - (Measured in Meter) - Height of freely falling body is the distance from ground to the object located at some height.

STEP 1: Convert Input(s) to Base Unit

Bounce of a freely falling body: 315 Meter --> 315 Meter No Conversion Required
Height of freely falling body: 1248 Meter --> 1248 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e = sqrt(h_b/h_o) --> sqrt(315/1248)

Evaluating ... ...

e = 0.502398095292813

STEP 3: Convert Result to Output's Unit

0.502398095292813 --> No Conversion Required

FINAL ANSWER

0.502398095292813 ≈ 0.502398 <-- Coefficient of Restitution

(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad

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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)

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

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

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 freely falling body having height and bounce?

Coefficient of restitution of freely falling body having height and bounce calculator uses Coefficient of Restitution = sqrt(Bounce of a freely falling body/Height of freely falling body) to calculate the Coefficient of Restitution, Coefficient of restitution of freely falling body having height and bounce formula is defined as the square root of the ratio of bounce after a collision to height at which freely falling body is dropped. Coefficient of Restitution is denoted by e symbol.

How to calculate Coefficient of restitution of freely falling body having height and bounce using this online calculator? To use this online calculator for Coefficient of restitution of freely falling body having height and bounce, enter Bounce of a freely falling body (h_b) & Height of freely falling body (h_o) and hit the calculate button. Here is how the Coefficient of restitution of freely falling body having height and bounce calculation can be explained with given input values -> 0.502398 = sqrt(315/1248).

FAQ

What is Coefficient of restitution of freely falling body having height and bounce?

Coefficient of restitution of freely falling body having height and bounce formula is defined as the square root of the ratio of bounce after a collision to height at which freely falling body is dropped and is represented as e = sqrt(h_b/h_o) or Coefficient of Restitution = sqrt(Bounce of a freely falling body/Height of freely falling body). Bounce of a freely falling body is the distance bounced by a freely falling body after it had collided with the ground & Height of freely falling body is the distance from ground to the object located at some height.

How to calculate Coefficient of restitution of freely falling body having height and bounce?

Coefficient of restitution of freely falling body having height and bounce formula is defined as the square root of the ratio of bounce after a collision to height at which freely falling body is dropped is calculated using Coefficient of Restitution = sqrt(Bounce of a freely falling body/Height of freely falling body). To calculate Coefficient of restitution of freely falling body having height and bounce, you need Bounce of a freely falling body (h_b) & Height of freely falling body (h_o). With our tool, you need to enter the respective value for Bounce of a freely falling body & Height of freely falling body 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 Bounce of a freely falling body & Height of freely falling body. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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