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Kinetic Energy of System Formula

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Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Check FAQs

KE = \frac{(m 1 \cdot ({v 1}^{2})) + (m 2 \cdot ({v 2}^{2}))}{2}

KE - Kinetic Energy?m₁ - Mass 1?v₁ - Velocity of Particle with Mass m1?m₂ - Mass 2?v₂ - Velocity of Particle with Mass m2?

Kinetic Energy of System Example

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Here is how the Kinetic Energy of System equation looks like with Values.

Here is how the Kinetic Energy of System equation looks like with Units.

Here is how the Kinetic Energy of System equation looks like.

43.84 = \frac{(14 \cdot ({1.6}^{2})) + (16 \cdot ({1.8}^{2}))}{2}

43.84J = \frac{(14kg \cdot ({1.6m/s}^{2})) + (16kg \cdot ({1.8m/s}^{2}))}{2}

43.84 = \frac{(14 \cdot ({1.6}^{2})) + (16 \cdot ({1.8}^{2}))}{2}

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Kinetic Energy of System Solution

Follow our step by step solution on how to calculate Kinetic Energy of System?

FIRST Step Consider the formula

KE = \frac{(m 1 \cdot ({v 1}^{2})) + (m 2 \cdot ({v 2}^{2}))}{2}

Next Step Substitute values of Variables

∴

KE = \frac{(14kg \cdot ({1.6m/s}^{2})) + (16kg \cdot ({1.8m/s}^{2}))}{2}

Next Step Prepare to Evaluate

∴

KE = \frac{(14 \cdot ({1.6}^{2})) + (16 \cdot ({1.8}^{2}))}{2}

LAST Step Evaluate

∴

KE = 43.84J

Kinetic Energy of System Formula Elements

Variables

Kinetic Energy

Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.

Symbol: KE

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Kinetic Energy

Mass 1

Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.

Symbol: m₁

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass 1

Velocity of Particle with Mass m1

Velocity of particle with mass m1 is the rate at which particle (of mass m1) moves.

Symbol: v₁

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Particle with Mass m1

Mass 2

Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.

Symbol: m₂

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass 2

Velocity of Particle with Mass m2

Velocity of Particle with Mass m2 is the rate at which particle (of mass m2) moves.

Symbol: v₂

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Particle with Mass m2

Other formulas in Kinetic Energy for System category

Go Kinetic Energy given Angular Momentum

KE1 = \frac{\frac{L}{2}}{2 \cdot I}

Go Kinetic Energy given Inertia and Angular Velocity

KE2 = I \cdot \frac{ω^{2}}{2}

Go Kinetic Energy given Angular Velocity

KE1 = ((m 1 \cdot ({R 1}^{2})) + (m 2 \cdot ({R 2}^{2}))) \cdot \frac{ω^{2}}{2}

Go Velocity of Particle 1

v p1 = 2 \cdot π \cdot R 1 \cdot ν rot

How to Evaluate Kinetic Energy of System?

Kinetic Energy of System evaluator uses Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2 to evaluate 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 evaluate Kinetic Energy of System using this online evaluator? To use this online evaluator 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.

FAQs on Kinetic Energy of System

What is the formula to find Kinetic Energy of System?

The formula of Kinetic Energy of System is expressed as Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2. Here is an example- 43.84 = ((14*(1.6^2))+(16*(1.8^2)))/2.

How to calculate Kinetic Energy of System?

With Mass 1 (m₁), Velocity of Particle with Mass m1 (v₁), Mass 2 (m₂) & Velocity of Particle with Mass m2 (v₂) we can find Kinetic Energy of System using the formula - Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2.

Can the Kinetic Energy of System be negative?

Yes, the Kinetic Energy of System, measured in Energy can be negative.

Which unit is used to measure Kinetic Energy of System?

Kinetic Energy of System is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Kinetic Energy of System can be measured.

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Kinetic Energy of System Formula

Kinetic Energy of System Example

Kinetic Energy of System Solution

Kinetic Energy of System Formula Elements

Other formulas in Kinetic Energy for System category

How to Evaluate Kinetic Energy of System?

FAQs on Kinetic Energy of System

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