Practice: To what uncertainty (in m) can the position of a baseball traveling at 51.0 m/s be measured if the uncertainty of its speed is 0.12%? The mass of the baseball is 150 g.

**Heisenberg's Uncertainty Principle **tries to explain the potential duality of an electron behaving as either a particle or wave.

Concept #1: Heisenberg Uncertainty Principle

Concept #2: Heisenberg Uncertainty Principle Formula

Example #1: Calculate the uncertainty in momentum of a neutron moving at 6.00 x 10^{7} m/s. The mass of a neutron is 1.67510 x 10^{-27} kg.

Practice: To what uncertainty (in m) can the position of a baseball traveling at 51.0 m/s be measured if the uncertainty of its speed is 0.12%? The mass of the baseball is 150 g.

Practice: An electron with a mass of 9.11 x 10^{-31} kg has an uncertainty in its position of 630 pm. What is the uncertainty in its velocity?

Practice: A proton with a mass of 1.67 x 10^{-27} kg traveling at 4.7 x 10^{5} m/s has an uncertainty in its velocity of 1.77 x 10^{5} m/s. Determine its uncertainty in position.