9. Quantum Mechanics

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.

A proton with a mass of 1.67 x 10^-27 kg traveling at 4.7 x 10⁵ m/s has an uncertainty in its velocity of 1.77 x 10⁵ m/s. Determine its uncertainty in position.

Using Heisenberg's uncertainty principle, calculate the uncertainty in the position of (b) a proton moving at a speed of 15.00 { 0.012 * 104 m/s. (The mass of a proton is given in the table of fundamental constants in the inside cover of the text.)

Using Heisenberg's uncertainty principle, calculate the uncertainty in the position of (a) a 1.50-mg mosquito moving at a speed of 1.40 m/s if the speed is known to within {0.01 m/s;

Calculate the uncertainty in the position of (a) an electron moving at a speed of 13.00 ± 0.012 × 10⁵ m/s (b) a neutron moving at this same speed. (The masses of an electron and a neutron are given in the table of fundamental constants in the inside cover of the text.)

An electron has an uncertainty in its position of 552 pm. What is the uncertainty in its velocity?

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?