1. The problem statement, all variables and given/known data Neutrons and protons in atomic nuclei are confined within a region whose diameter is about 10^-15m = 1 fm a) At any given instant, how fast might an individual proton or neutron be moving? b) What is the approximate kinetic energy of a neutron that is localized to within such a region? c) What would be the corresponding energy of an electron localized to within such a region? 2. Relevant equations uncertainty principle ΔxΔp ≥ h/(4π) 3. The attempt at a solution I am having trouble visualizing how to go about the problem. I know I need to use the certainty prinicple in some way but I don't know how. I don't know if this is the right way to start but since we are confined to a sphere, would it be proper to apply the uncertainty principle in 3 directions? Δx*mΔv ≥ h/(4π) Δy*mΔv ≥ h/(4π) Δz*mΔv ≥ h/(4π) Solve for Δv for each direction and then use them to find the total magnitude. Or am I thinking about this wrong? If I can understand this then all the parts to this question will be simple.