# Heisenberg's uncertainty principle, find uncertainty in position

by Glissando
Tags: heisenberg, position, principle, uncertainty
 P: 34 1. The problem statement, all variables and given/known data Using Heisenberg's uncertainty principle, calculate the uncertainty in the position of a proton moving at a speed of (5.00±0.01) x 10^4 m/s. 2. Relevant equations Δx$\geq$ $\frac{h}{4mΔv\pi}$ 3. The attempt at a solution x$\geq$ (6.626*10^-34)/(4pi(1.6726*10^-24)(5±0.01 * 10^4) I get how to solve it, I just don't really understand what to do with the ±0.01. I'm assuming it's in meters, so I have to do 0.01/5 and then multiply that by 5*10^4, but I'm supposed to be getting 3*10^-10 Thanks in advance (:
 P: 111 The formula says $\Delta x=\frac{h}{4\pi m\Delta v}$ What is $\Delta v$? Is it a relative or an absolute uncertainty?