Kinetic Energy of System Solution

STEP 0: Pre-Calculation Summary
Formula Used
Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2
KE = ((m1*(v1^2))+(m2*(v2^2)))/2
This formula uses 5 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 1 - (Measured in Kilogram) - Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.
Velocity of Particle with Mass m1 - (Measured in Meter per Second) - Velocity of particle with mass m1 is the rate at which particle (of mass m1) moves.
Mass 2 - (Measured in Kilogram) - Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.
Velocity of Particle with Mass m2 - (Measured in Meter per Second) - Velocity of Particle with Mass m2 is the rate at which particle (of mass m2) moves.
STEP 1: Convert Input(s) to Base Unit
Mass 1: 14 Kilogram --> 14 Kilogram No Conversion Required
Velocity of Particle with Mass m1: 1.6 Meter per Second --> 1.6 Meter per Second No Conversion Required
Mass 2: 16 Kilogram --> 16 Kilogram No Conversion Required
Velocity of Particle with Mass m2: 1.8 Meter per Second --> 1.8 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
KE = ((m1*(v1^2))+(m2*(v2^2)))/2 --> ((14*(1.6^2))+(16*(1.8^2)))/2
Evaluating ... ...
KE = 43.84
STEP 3: Convert Result to Output's Unit
43.84 Joule --> No Conversion Required
FINAL ANSWER
43.84 Joule <-- Kinetic Energy
(Calculation completed in 00.004 seconds)

Credits

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Created by Nishant Sihag
Indian Institute of Technology (IIT), Delhi
Nishant Sihag has created this Calculator and 50+ more calculators!
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Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Kinetic Energy for System Calculators

Kinetic Energy given Angular Velocity
​ LaTeX ​ Go Kinetic Energy given Angular Momentum = ((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))*(Angular Velocity Spectroscopy^2)/2
Kinetic Energy of System
​ LaTeX ​ Go Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2
Kinetic Energy given Inertia and Angular Velocity
​ LaTeX ​ Go Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2
Kinetic Energy given Angular Momentum
​ LaTeX ​ Go Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia)

Kinetic Energy of System Calculators

Kinetic Energy given Angular Velocity
​ LaTeX ​ Go Kinetic Energy given Angular Momentum = ((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))*(Angular Velocity Spectroscopy^2)/2
Kinetic Energy of System
​ LaTeX ​ Go Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2
Kinetic Energy given Inertia and Angular Velocity
​ LaTeX ​ Go Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2
Kinetic Energy given Angular Momentum
​ LaTeX ​ Go Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia)

Kinetic Energy of System Formula

​LaTeX ​Go
Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2
KE = ((m1*(v1^2))+(m2*(v2^2)))/2

How do we get Kinetic energy of system?

Kinetic energy is the work needed to accelerate a body of a given mass from rest to its stated velocity. Which is numerically written as half*mass *square of velocity for a given object. So for a system we have to add kinetic energy of the individual masses. Thus we get total Kinetic energy of system.

How to Calculate Kinetic Energy of System?

Kinetic Energy of System calculator uses Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2 to calculate the Kinetic Energy, The Kinetic energy of system, KE , is sum of the kinetic energy for each mass. The 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. Kinetic Energy is denoted by KE symbol.

How to calculate Kinetic Energy of System using this online calculator? To use this online calculator for Kinetic Energy of System, enter Mass 1 (m1), Velocity of Particle with Mass m1 (v1), Mass 2 (m2) & Velocity of Particle with Mass m2 (v2) and hit the calculate button. Here is how the Kinetic Energy of System calculation can be explained with given input values -> 43.84 = ((14*(1.6^2))+(16*(1.8^2)))/2.

FAQ

What is Kinetic Energy of System?
The Kinetic energy of system, KE , is sum of the kinetic energy for each mass. The 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 and is represented as KE = ((m1*(v1^2))+(m2*(v2^2)))/2 or Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2. Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it, Velocity of particle with mass m1 is the rate at which particle (of mass m1) moves, Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it & Velocity of Particle with Mass m2 is the rate at which particle (of mass m2) moves.
How to calculate Kinetic Energy of System?
The Kinetic energy of system, KE , is sum of the kinetic energy for each mass. The 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 is calculated using Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2. To calculate Kinetic Energy of System, you need Mass 1 (m1), Velocity of Particle with Mass m1 (v1), Mass 2 (m2) & Velocity of Particle with Mass m2 (v2). With our tool, you need to enter the respective value for Mass 1, Velocity of Particle with Mass m1, Mass 2 & Velocity of Particle with Mass m2 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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