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

1 Answer
Dr. Hayek
Jan 19, 2016

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

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