Question

How would you calculate the Δx for a baseball with mass 145 g with Δv = 0.100 m/s?

Answer 1

`Deltax>=36.4xx10^(-34)m`

Explanation:

We can calculate `Deltax` using the Heisenberg uncertainty principle :

`Deltax*Delta(mv)>=h/(4pi)`

Since the mass of the baseball will not change and therefore it is constant, the expression becomes:

`Deltax*mDeltav>=h/(4pi)`

`=>Deltax>=h/(4pi*m*Deltav)>=(6.626xx10^(-34)m^(cancel(2))cancel(kg)*cancel(s^(-1)))/(4pixx0.145cancel(kg)xx0.100cancel(m)*cancel(s^(-1)))>=36.4xx10^(-34)m`