Heisenberg Uncertainty Principle question

In summary, the conversation discusses the Heisenberg Uncertainty Principle and how to calculate the limit of accuracy for locating a particle along the x-axis based on the accuracy of its velocity measurement. The participants also mention considering the relationship between momenta, mass, and velocity and whether to use a relativistic or Newtonian expression.
  • #1
so09er
8
0
[SOLVED] Heisenberg Uncertainty Principle question

Suppose that the x-compenent of the velocity of a 3.0 x 10^-4 kg mass is measured to an accuracy of plus or minus 10^-6 m/s. What then is the limit of the accuracy with which we can locate the particle along the x-axis?

Any help on where to start here would be helpful, thanks.
 
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  • #2
how is momenta related to mass and velocity? Thats all you have to do. And you should first consider if you want to use relativistic or Newtonian expression for the momenta.
 
  • #3
ok, thanks for the help getting started
 
  • #4
You titled this "Heisenberg Uncertainty Principle". Do you know the formula that gives that principle?
 

FAQ: Heisenberg Uncertainty Principle question

What is the Heisenberg Uncertainty Principle?

The Heisenberg Uncertainty Principle is a fundamental principle in quantum mechanics that states that it is impossible to know both the exact position and momentum of a particle simultaneously. This means that the more accurately we know the position of a particle, the less accurately we can know its momentum, and vice versa.

Why is the Heisenberg Uncertainty Principle important?

The Heisenberg Uncertainty Principle is important because it sets a limit on the precision with which we can measure certain physical quantities in the quantum world. It also highlights the inherently probabilistic nature of particles at the subatomic level.

Who discovered the Heisenberg Uncertainty Principle?

The Heisenberg Uncertainty Principle was first proposed by German physicist Werner Heisenberg in 1927 as part of his work on quantum mechanics.

How does the Heisenberg Uncertainty Principle relate to everyday life?

Although the Heisenberg Uncertainty Principle applies to particles at the subatomic level, its implications can be seen in everyday life. For example, it helps to explain why we cannot accurately predict the weather or the exact location of a car on the highway.

Are there any exceptions to the Heisenberg Uncertainty Principle?

There are no known exceptions to the Heisenberg Uncertainty Principle. It is a fundamental principle of quantum mechanics and has been extensively tested and verified through experiments.

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