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Velocity of Particle 1 given Kinetic Energy Formula

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

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

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

Velocity of Particle 1 given Kinetic Energy Example

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Here is how the Velocity of Particle 1 given Kinetic Energy equation looks like with Values.

Here is how the Velocity of Particle 1 given Kinetic Energy equation looks like with Units.

Here is how the Velocity of Particle 1 given Kinetic Energy equation looks like.

1.4182 = \sqrt{\frac{(2 \cdot 40) - (16 \cdot {1.8}^{2})}{14}}

1.4182m/s = \sqrt{\frac{(2 \cdot 40J) - (16kg \cdot {1.8m/s}^{2})}{14kg}}

1.4182 = \sqrt{\frac{(2 \cdot 40) - (16 \cdot {1.8}^{2})}{14}}

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Velocity of Particle 1 given Kinetic Energy Solution

Follow our step by step solution on how to calculate Velocity of Particle 1 given Kinetic Energy?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v 1 = \sqrt{\frac{(2 \cdot 40J) - (16kg \cdot {1.8m/s}^{2})}{14kg}}

Next Step Prepare to Evaluate

∴

v 1 = \sqrt{\frac{(2 \cdot 40) - (16 \cdot {1.8}^{2})}{14}}

Next Step Evaluate

∴

v 1 = 1.41824841668467m/s

LAST Step Rounding Answer

∴

v 1 = 1.4182m/s

Velocity of Particle 1 given Kinetic Energy Formula Elements

Variables

Functions

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

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 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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 of System

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

How to Evaluate Velocity of Particle 1 given Kinetic Energy?

Velocity of Particle 1 given Kinetic Energy evaluator uses Velocity of Particle with Mass m1 = sqrt(((2*Kinetic Energy)-(Mass 2*Velocity of Particle with Mass m2^2))/Mass 1) to evaluate the Velocity of Particle with Mass m1, The Velocity of Particle 1 given Kinetic Energy formula is a method of calculating the velocity of a particle when we know the velocity of other particles and the total kinetic energy of the system. As total kinetic energy is the sum of the individual kinetic energy of both particles, so we are left with only one variable, and by solving the equation we obtain the required velocity. Velocity of Particle with Mass m1 is denoted by v₁ symbol.

How to evaluate Velocity of Particle 1 given Kinetic Energy using this online evaluator? To use this online evaluator for Velocity of Particle 1 given Kinetic Energy, enter Kinetic Energy (KE), Mass 2 (m₂), Velocity of Particle with Mass m2 (v₂) & Mass 1 (m₁) and hit the calculate button.

FAQs on Velocity of Particle 1 given Kinetic Energy

What is the formula to find Velocity of Particle 1 given Kinetic Energy?

The formula of Velocity of Particle 1 given Kinetic Energy is expressed as Velocity of Particle with Mass m1 = sqrt(((2*Kinetic Energy)-(Mass 2*Velocity of Particle with Mass m2^2))/Mass 1). Here is an example- 1.418248 = sqrt(((2*40)-(16*1.8^2))/14).

How to calculate Velocity of Particle 1 given Kinetic Energy?

With Kinetic Energy (KE), Mass 2 (m₂), Velocity of Particle with Mass m2 (v₂) & Mass 1 (m₁) we can find Velocity of Particle 1 given Kinetic Energy using the formula - Velocity of Particle with Mass m1 = sqrt(((2*Kinetic Energy)-(Mass 2*Velocity of Particle with Mass m2^2))/Mass 1). This formula also uses Square Root (sqrt) function(s).

Can the Velocity of Particle 1 given Kinetic Energy be negative?

Yes, the Velocity of Particle 1 given Kinetic Energy, measured in Speed can be negative.

Which unit is used to measure Velocity of Particle 1 given Kinetic Energy?

Velocity of Particle 1 given Kinetic Energy is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity of Particle 1 given Kinetic Energy can be measured.

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Velocity of Particle 1 given Kinetic Energy Formula

Velocity of Particle 1 given Kinetic Energy Example

Velocity of Particle 1 given Kinetic Energy Solution

Velocity of Particle 1 given Kinetic Energy Formula Elements

Other formulas in Kinetic Energy for System category

How to Evaluate Velocity of Particle 1 given Kinetic Energy?

FAQs on Velocity of Particle 1 given Kinetic Energy

Variable Name