Total Kinetic Energy of Two Bodies before Impact Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
KEi = (1/2)*((m1*(u1^2))+(m2*(u2^2)))
This formula uses 5 Variables
Variables Used
Kinetic Energy Before Impact - (Measured in Joule) - Kinetic Energy Before Impact of an object can be calculated using its mass and initial 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.
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
KEi = (1/2)*((m1*(u1^2))+(m2*(u2^2))) --> (1/2)*((115*(18^2))+(25*(10^2)))
Evaluating ... ...
KEi = 19880
STEP 3: Convert Result to Output's Unit
19880 Joule --> No Conversion Required
FINAL ANSWER
19880 Joule <-- Kinetic Energy Before Impact
(Calculation completed in 00.004 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)

Total Kinetic Energy of Two Bodies before Impact Formula

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)))
KEi = (1/2)*((m1*(u1^2))+(m2*(u2^2)))

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 Total Kinetic Energy of Two Bodies before Impact?

Total Kinetic Energy of Two Bodies before Impact calculator uses 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))) to calculate the Kinetic Energy Before Impact, The Total kinetic energy of two bodies before impact formula is defined as the half of sum of product of mass, square of initial velocity of first body and product of mass and square of initial velocity of second body. Kinetic Energy Before Impact is denoted by KEi symbol.

How to calculate Total Kinetic Energy of Two Bodies before Impact using this online calculator? To use this online calculator for Total Kinetic Energy of Two Bodies before Impact, enter Mass of First Particle (m1), Initial Velocity of First Mass (u1), Mass of Second Particle (m2) & Initial Velocity of Second Mass (u2) and hit the calculate button. Here is how the Total Kinetic Energy of Two Bodies before Impact calculation can be explained with given input values -> 19880 = (1/2)*((115*(18^2))+(25*(10^2))).

FAQ

What is Total Kinetic Energy of Two Bodies before Impact?
The Total kinetic energy of two bodies before impact formula is defined as the half of sum of product of mass, square of initial velocity of first body and product of mass and square of initial velocity of second body and is represented as KEi = (1/2)*((m1*(u1^2))+(m2*(u2^2))) or 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))). 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.
How to calculate Total Kinetic Energy of Two Bodies before Impact?
The Total kinetic energy of two bodies before impact formula is defined as the half of sum of product of mass, square of initial velocity of first body and product of mass and square of initial velocity of second body is calculated using 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))). To calculate Total Kinetic Energy of Two Bodies before 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). 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 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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