Uncertainty in momentum given uncertainty in velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Uncertainity of Momentum = Mass*Uncertainty in Velocity
Um = Massflight path*Δv
This formula uses 3 Variables
Variables Used
Uncertainity of Momentum - (Measured in Kilogram Meter per Second) - Uncertainity of Momentum refers to the quantity of motion that an object has. A sports team that is on the move has momentum. If an object is in motion (on the move) then it has momentum.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Uncertainty in Velocity - (Measured in Meter per Second) - Uncertainty in Velocity is the accuracy of the speed of particle.
STEP 1: Convert Input(s) to Base Unit
Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Uncertainty in Velocity: 22 Meter per Second --> 22 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Um = Massflight path*Δv --> 35.45*22
Evaluating ... ...
Um = 779.9
STEP 3: Convert Result to Output's Unit
779.9 Kilogram Meter per Second --> No Conversion Required
FINAL ANSWER
779.9 Kilogram Meter per Second <-- Uncertainity of Momentum
(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Heisenberg's Uncertainty Principle Calculators

Mass in Uncertainty Principle
​ LaTeX ​ Go Mass in UP = [hP]/(4*pi*Uncertainty in Position*Uncertainty in Velocity)
Uncertainty in Position given Uncertainty in Velocity
​ LaTeX ​ Go Position Uncertainty = [hP]/(2*pi*Mass*Uncertainty in Velocity)
Uncertainty in Velocity
​ LaTeX ​ Go Velocity Uncertainty = [hP]/(4*pi*Mass*Uncertainty in Position)
Uncertainty in momentum given uncertainty in velocity
​ LaTeX ​ Go Uncertainity of Momentum = Mass*Uncertainty in Velocity

Uncertainty in momentum given uncertainty in velocity Formula

​LaTeX ​Go
Uncertainity of Momentum = Mass*Uncertainty in Velocity
Um = Massflight path*Δv

What is Heisenberg's Uncertainty Principle?

Heisenberg's Uncertainty Principle states that ' It is impossible to determine simultaneously, the exact position as well as momentum of an electron'. It is mathematically possible to express the uncertainty that, Heisenberg concluded, always exists if one attempts to measure the momentum and position of particles. First, we must define the variable “x” as the position of the particle, and define “p” as the momentum of the particle.

Is Heisenberg’s Uncertainty Principle noticeable in All Matter Waves?

Heisenberg’s principle is applicable to all matter waves. The measurement error of any two conjugate properties, whose dimensions happen to be joule sec, like position-momentum, time-energy will be guided by the Heisenberg’s value.
But, it will be noticeable and of significance only for small particles like an electron with very low mass. A bigger particle with heavy mass will show the error to be very small and negligible.

How to Calculate Uncertainty in momentum given uncertainty in velocity?

Uncertainty in momentum given uncertainty in velocity calculator uses Uncertainity of Momentum = Mass*Uncertainty in Velocity to calculate the Uncertainity of Momentum, The Uncertainty in momentum given uncertainty in velocity is defined as the accuracy of the momentum of the particle in Heisenberg's Uncertainty Principle theory. Uncertainity of Momentum is denoted by Um symbol.

How to calculate Uncertainty in momentum given uncertainty in velocity using this online calculator? To use this online calculator for Uncertainty in momentum given uncertainty in velocity, enter Mass (Massflight path) & Uncertainty in Velocity (Δv) and hit the calculate button. Here is how the Uncertainty in momentum given uncertainty in velocity calculation can be explained with given input values -> 779.9 = 35.45*22.

FAQ

What is Uncertainty in momentum given uncertainty in velocity?
The Uncertainty in momentum given uncertainty in velocity is defined as the accuracy of the momentum of the particle in Heisenberg's Uncertainty Principle theory and is represented as Um = Massflight path*Δv or Uncertainity of Momentum = Mass*Uncertainty in Velocity. Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it & Uncertainty in Velocity is the accuracy of the speed of particle.
How to calculate Uncertainty in momentum given uncertainty in velocity?
The Uncertainty in momentum given uncertainty in velocity is defined as the accuracy of the momentum of the particle in Heisenberg's Uncertainty Principle theory is calculated using Uncertainity of Momentum = Mass*Uncertainty in Velocity. To calculate Uncertainty in momentum given uncertainty in velocity, you need Mass (Massflight path) & Uncertainty in Velocity (Δv). With our tool, you need to enter the respective value for Mass & Uncertainty in Velocity 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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