Loss of kinetic energy during impact Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))))
KE = (1/2)*(((m1*(u1^2))+(m2*(u2^2)))-((m1*(v1^2))+(m2*(v2^2))))
This formula uses 7 Variables
Variables Used
Kinetic Energy - (Measured in Joule) - Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.
Mass of First Particle - (Measured in Kilogram) - The Mass of First Particle is the quantity of matter contained by first particle.
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.
Mass of Second Particle - (Measured in Kilogram) - The Mass of Second Particle is the quantity of matter contained by the second particle.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Mass of First Particle: 115 Kilogram --> 115 Kilogram No Conversion Required
Initial Velocity of First Mass: 18 Meter per Second --> 18 Meter per Second No Conversion Required
Mass of Second Particle: 25 Kilogram --> 25 Kilogram No Conversion Required
Initial Velocity of Second Mass: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Final Velocity of First Mass: 16 Meter per Second --> 16 Meter per Second No Conversion Required
Final Velocity of Second Mass: 20 Meter per Second --> 20 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
KE = (1/2)*(((m1*(u1^2))+(m2*(u2^2)))-((m1*(v1^2))+(m2*(v2^2)))) --> (1/2)*(((115*(18^2))+(25*(10^2)))-((115*(16^2))+(25*(20^2))))
Evaluating ... ...
KE = 160
STEP 3: Convert Result to Output's Unit
160 Joule --> No Conversion Required
FINAL ANSWER
160 Joule <-- Kinetic Energy
(Calculation completed in 00.020 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!
Verified by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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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)

Loss of kinetic energy during impact Formula

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))))
KE = (1/2)*(((m1*(u1^2))+(m2*(u2^2)))-((m1*(v1^2))+(m2*(v2^2))))

What is kinetic energy?

Kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

How to Calculate Loss of kinetic energy during impact?

Loss of kinetic energy during impact calculator uses 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)))) to calculate the Kinetic Energy, The Loss of kinetic energy during impact formula is defined as the sum of the product of mass, the square of the initial velocity of first body and product of mass and square of the initial velocity of second body substracted by the sum of the product of mass, square of final velocity of first body and mass, square of final velocity of second body divided by 2. Kinetic Energy is denoted by KE symbol.

How to calculate Loss of kinetic energy during impact using this online calculator? To use this online calculator for Loss of kinetic energy during impact, enter Mass of First Particle (m1), Initial Velocity of First Mass (u1), Mass of Second Particle (m2), Initial Velocity of Second Mass (u2), Final Velocity of First Mass (v1) & Final Velocity of Second Mass (v2) and hit the calculate button. Here is how the Loss of kinetic energy during impact calculation can be explained with given input values -> 160 = (1/2)*(((115*(18^2))+(25*(10^2)))-((115*(16^2))+(25*(20^2)))).

FAQ

What is Loss of kinetic energy during impact?
The Loss of kinetic energy during impact formula is defined as the sum of the product of mass, the square of the initial velocity of first body and product of mass and square of the initial velocity of second body substracted by the sum of the product of mass, square of final velocity of first body and mass, square of final velocity of second body divided by 2 and is represented as KE = (1/2)*(((m1*(u1^2))+(m2*(u2^2)))-((m1*(v1^2))+(m2*(v2^2)))) or 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)))). The Mass of First Particle is the quantity of matter contained by first particle, The Initial Velocity of First Mass is the starting velocity with which mass is projected, The Mass of Second Particle is the quantity of matter contained by the second particle, The Initial Velocity of Second Mass is the starting velocity with which the object is projected, Final Velocity of First Mass is the velocity which the body has at the end of the given time period & Final Velocity of Second Mass is the velocity which the body has at the end of the given time period.
How to calculate Loss of kinetic energy during impact?
The Loss of kinetic energy during impact formula is defined as the sum of the product of mass, the square of the initial velocity of first body and product of mass and square of the initial velocity of second body substracted by the sum of the product of mass, square of final velocity of first body and mass, square of final velocity of second body divided by 2 is calculated using 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)))). To calculate Loss of kinetic energy during impact, you need Mass of First Particle (m1), Initial Velocity of First Mass (u1), Mass of Second Particle (m2), Initial Velocity of Second Mass (u2), Final Velocity of First Mass (v1) & Final Velocity of Second Mass (v2). With our tool, you need to enter the respective value for Mass of First Particle, Initial Velocity of First Mass, Mass of Second Particle, Initial Velocity of Second Mass, Final Velocity of First Mass & Final 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.
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