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Loss of kinetic energy during impact 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{1}{2}) \cdot (((m 1 \cdot ({u 1}^{2})) + (m 2 \cdot ({u 2}^{2}))) - ((m 1 \cdot ({v 1}^{2})) + (m 2 \cdot ({v 2}^{2}))))

KE - Kinetic Energy?m₁ - Mass of First Particle?u₁ - Initial Velocity of First Mass?m₂ - Mass of Second Particle?u₂ - Initial Velocity of Second Mass?v₁ - Final Velocity of First Mass?v₂ - Final Velocity of Second Mass?

Loss of kinetic energy during impact Example

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Here is how the Loss of kinetic energy during impact equation looks like with Values.

Here is how the Loss of kinetic energy during impact equation looks like with Units.

Here is how the Loss of kinetic energy during impact equation looks like.

160 = (\frac{1}{2}) \cdot (((115 \cdot (18^{2})) + (25 \cdot (10^{2}))) - ((115 \cdot (16^{2})) + (25 \cdot (20^{2}))))

160J = (\frac{1}{2}) \cdot (((115kg \cdot ({18m/s}^{2})) + (25kg \cdot ({10m/s}^{2}))) - ((115kg \cdot ({16m/s}^{2})) + (25kg \cdot ({20m/s}^{2}))))

160 = (\frac{1}{2}) \cdot (((115 \cdot (18^{2})) + (25 \cdot (10^{2}))) - ((115 \cdot (16^{2})) + (25 \cdot (20^{2}))))

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Loss of kinetic energy during impact Solution

Follow our step by step solution on how to calculate Loss of kinetic energy during impact?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

KE = (\frac{1}{2}) \cdot (((115kg \cdot ({18m/s}^{2})) + (25kg \cdot ({10m/s}^{2}))) - ((115kg \cdot ({16m/s}^{2})) + (25kg \cdot ({20m/s}^{2}))))

Next Step Prepare to Evaluate

∴

KE = (\frac{1}{2}) \cdot (((115 \cdot (18^{2})) + (25 \cdot (10^{2}))) - ((115 \cdot (16^{2})) + (25 \cdot (20^{2}))))

LAST Step Evaluate

∴

KE = 160J

Loss of kinetic energy during impact 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 of First Particle

The Mass of First Particle is the quantity of matter contained by first particle.

Symbol: m₁

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Mass of First Particle

Initial Velocity of First Mass

The Initial Velocity of First Mass is the starting velocity with which mass is projected.

Symbol: u₁

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Initial Velocity of First Mass

Mass of Second Particle

The Mass of Second Particle is the quantity of matter contained by the second particle.

Symbol: m₂

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Mass of Second Particle

Initial Velocity of Second Mass

The Initial Velocity of Second Mass is the starting velocity with which the object is projected.

Symbol: u₂

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Initial Velocity of Second Mass

Final Velocity of First Mass

Final Velocity of First Mass is the velocity which the body has at the end of the given time period.

Symbol: v₁

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Final Velocity of First Mass

Final Velocity of Second Mass

Final Velocity of Second Mass is the velocity which the body has at the end of the given time period.

Symbol: v₂

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Final Velocity of Second Mass

Other formulas in During Collision category

Go Velocity of approach

v app = \frac{v 2 - v 1}{e}

Go Velocity of approach in indirect impact of body with fixed plane

v app = u \cdot \cos (θ i)

How to Evaluate Loss of kinetic energy during impact?

Loss of kinetic energy during impact evaluator 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 evaluate 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 evaluate Loss of kinetic energy during impact using this online evaluator? To use this online evaluator 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.

FAQs on Loss of kinetic energy during impact

What is the formula to find Loss of kinetic energy during impact?

The formula of Loss of kinetic energy during impact is expressed as 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)))). Here is an example- 160 = (1/2)*(((115*(18^2))+(25*(10^2)))-((115*(16^2))+(25*(20^2)))).

How to calculate Loss of kinetic energy during impact?

With 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) we can find Loss of kinetic energy during impact using the 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)))).

Can the Loss of kinetic energy during impact be negative?

Yes, the Loss of kinetic energy during impact, measured in Energy can be negative.

Which unit is used to measure Loss of kinetic energy during impact?

Loss of kinetic energy during impact is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Loss of kinetic energy during impact can be measured.

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Loss of kinetic energy during impact Formula

Loss of kinetic energy during impact Example

Loss of kinetic energy during impact Solution

Loss of kinetic energy during impact Formula Elements

Other formulas in During Collision category

How to Evaluate Loss of kinetic energy during impact?

FAQs on Loss of kinetic energy during impact

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