Heisenberg uncertainty principle
Δx•Δp ≥h/2•2•π,
Note! the right part of uncertainty principle in different sources may be: h, h/2 π, h/2, etc. But all these magnitudes are ~10^-34 .
m = 0.07 kg.
v = 45 m/s.
Δv = 0.1 •v/100 = 0.045 m/s.
Δ p =Δ(m•v) = m• Δv = 0.07•0.045=3.15•10^-3.
Δx ≥h/4•π•Δp = 6.63•10^-34/4• π•3.15•10^-3 =1.67•10^-32
Δx ≥1.67•10^-32 m.
A 70 g ball moves 45m/s. If its speed is measured to an accuracy of 0.10% what is the minimum uncertainty in its position?
1 answer