Velocity of separation in indirect impact of body with fixed plane Calculator

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✖Final Velocity of Mass is a vector quantity that measures the speed and direction of a moving body after it has reached its maximum acceleration.ⓘ Final Velocity of Mass [v_f]			+10% -10%
✖Angle between Final Velocity and Line of Impact is angle made by the final velocity of body with the line of impact.ⓘ Angle between Final Velocity and Line of Impact [θ_f]			+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 in indirect impact of body with fixed plane [v_sep]

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Velocity of separation in indirect impact of body with fixed plane

Formula

`"v"_{"sep"} = "v"_{"f"}*cos("θ"_{"f"})`

Example

`"4.078466m/s"="45m/s"*cos("84.8°")`

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Velocity of separation in indirect impact of body with fixed plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Separation = Final Velocity of Mass*cos(Angle between Final Velocity and Line of Impact)
v_sep = v_f*cos(θ_f)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

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.
Final Velocity of Mass - (Measured in Meter per Second) - Final Velocity of Mass is a vector quantity that measures the speed and direction of a moving body after it has reached its maximum acceleration.
Angle between Final Velocity and Line of Impact - (Measured in Radian) - Angle between Final Velocity and Line of Impact is angle made by the final velocity of body with the line of impact.

STEP 1: Convert Input(s) to Base Unit

Final Velocity of Mass: 45 Meter per Second --> 45 Meter per Second No Conversion Required
Angle between Final Velocity and Line of Impact: 84.8 Degree --> 1.48003920569091 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_sep = v_f*cos(θ_f) --> 45*cos(1.48003920569091)

Evaluating ... ...

v_sep = 4.07846610891272

STEP 3: Convert Result to Output's Unit

4.07846610891272 Meter per Second --> No Conversion Required

FINAL ANSWER

4.07846610891272 ≈ 4.078466 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

Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!

Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

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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 in indirect impact of body with fixed plane Formula

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

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 in indirect impact of body with fixed plane?

Velocity of separation in indirect impact of body with fixed plane calculator uses Velocity of Separation = Final Velocity of Mass*cos(Angle between Final Velocity and Line of Impact) to calculate the Velocity of Separation, The Velocity of separation in indirect impact of body with fixed plane formula is defined as the product of final velocity of the mass and cos of angle between final velocity and line of impact. Velocity of Separation is denoted by v_sep symbol.

How to calculate Velocity of separation in indirect impact of body with fixed plane using this online calculator? To use this online calculator for Velocity of separation in indirect impact of body with fixed plane, enter Final Velocity of Mass (v_f) & Angle between Final Velocity and Line of Impact (θ_f) and hit the calculate button. Here is how the Velocity of separation in indirect impact of body with fixed plane calculation can be explained with given input values -> 4.078466 = 45*cos(1.48003920569091).

FAQ

What is Velocity of separation in indirect impact of body with fixed plane?

The Velocity of separation in indirect impact of body with fixed plane formula is defined as the product of final velocity of the mass and cos of angle between final velocity and line of impact and is represented as v_sep = v_f*cos(θ_f) or Velocity of Separation = Final Velocity of Mass*cos(Angle between Final Velocity and Line of Impact). Final Velocity of Mass is a vector quantity that measures the speed and direction of a moving body after it has reached its maximum acceleration & Angle between Final Velocity and Line of Impact is angle made by the final velocity of body with the line of impact.

How to calculate Velocity of separation in indirect impact of body with fixed plane?

The Velocity of separation in indirect impact of body with fixed plane formula is defined as the product of final velocity of the mass and cos of angle between final velocity and line of impact is calculated using Velocity of Separation = Final Velocity of Mass*cos(Angle between Final Velocity and Line of Impact). To calculate Velocity of separation in indirect impact of body with fixed plane, you need Final Velocity of Mass (v_f) & Angle between Final Velocity and Line of Impact (θ_f). With our tool, you need to enter the respective value for Final Velocity of Mass & Angle between Final Velocity and Line of Impact 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 Final Velocity of Mass & Angle between Final Velocity and Line of Impact. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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