Kinetic Energy of System Calculator

✖Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.ⓘ Mass 1 [m₁]			+10% -10%
✖Velocity of particle with mass m1 is the rate at which particle (of mass m1) moves.ⓘ Velocity of Particle with Mass m1 [v₁]			+10% -10%
✖Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.ⓘ Mass 2 [m₂]			+10% -10%
✖Velocity of Particle with Mass m2 is the rate at which particle (of mass m2) moves.ⓘ Velocity of Particle with Mass m2 [v₂]			+10% -10%

✖Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.ⓘ Kinetic Energy of System [KE]

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Formula

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Kinetic Energy of System

Formula

`"KE" = (("m"_{"1"}*("v"_{"1"}^2))+("m"_{"2"}*("v"_{"2"}^2)))/2`

Example

`"43.84J"=(("14kg"*(("1.6m/s")^2))+("16kg"*(("1.8m/s")^2)))/2`

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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 00.020 seconds)

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Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

Nishant Sihag has created this Calculator and 50+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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< 8 Kinetic Energy for System Calculators

Kinetic Energy given Angular Velocity

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

Velocity of Particle 1 given Kinetic Energy

Go Velocity of Particle with Mass m1 = sqrt(((2*Kinetic Energy)-(Mass 2*Velocity of Particle with Mass m2^2))/Mass 1)

Velocity of Particle 2 given Kinetic Energy

Go Velocity of Particle with Mass m2 = sqrt(((2*Kinetic Energy)-(Mass 1*Velocity of Particle with Mass m1^2))/Mass 2)

Kinetic Energy of System

Go Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2

Velocity of Particle 2

Go Velocity of Particle with Mass m2 = 2*pi*Radius of Mass 2*Rotational Frequency

Kinetic Energy given Inertia and Angular Velocity

Go Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2

Velocity of Particle 1

Go Velocity of Particle 1 = 2*pi*Radius of Mass 1*Rotational Frequency

Kinetic Energy given Angular Momentum

Go Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia)

< 8 Kinetic Energy of System Calculators

Kinetic Energy given Angular Velocity

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

Velocity of Particle 1 given Kinetic Energy

Go Velocity of Particle with Mass m1 = sqrt(((2*Kinetic Energy)-(Mass 2*Velocity of Particle with Mass m2^2))/Mass 1)

Velocity of Particle 2 given Kinetic Energy

Go Velocity of Particle with Mass m2 = sqrt(((2*Kinetic Energy)-(Mass 1*Velocity of Particle with Mass m1^2))/Mass 2)

Kinetic Energy of System

Go Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2

Velocity of Particle 2

Go Velocity of Particle with Mass m2 = 2*pi*Radius of Mass 2*Rotational Frequency

Kinetic Energy given Inertia and Angular Velocity

Go Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2

Velocity of Particle 1

Go Velocity of Particle 1 = 2*pi*Radius of Mass 1*Rotational Frequency

Kinetic Energy given Angular Momentum

Go Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia)

Kinetic Energy of System Formula

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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