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)
vsep = vf*cos(θf)
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
vsep = vf*cos(θf) --> 45*cos(1.48003920569091)
Evaluating ... ...
vsep = 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)

Credits

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Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
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Dayananda Sagar College of Engineering (DSCE), Bengaluru
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During Collision Calculators

Loss of kinetic energy during impact
​ LaTeX ​ 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))))
Velocity of approach
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Velocity of Separation = Final Velocity of Mass*cos(Angle between Final Velocity and Line of Impact)

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

​LaTeX ​Go
Velocity of Separation = Final Velocity of Mass*cos(Angle between Final Velocity and Line of Impact)
vsep = vf*cos(θf)

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 vsep 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 (vf) & Angle between Final Velocity and Line of Impact 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 vsep = vf*cos(θf) 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 (vf) & Angle between Final Velocity and Line of Impact 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.
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