Imagine playing baseball in a universe (not ours!) where the Planck constant is 0.80 J·s. What would be the uncertainty in the position of a 0.60 kg baseball that is moving at 15 m/s along an axis if the uncertainty in the speed is 0.5 m/s?
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Verified answer
Δx Δp ≥ ℏ/2
Δx (0.60 kg * 0.5 m/s) ≥ (0.80 Js / 2π)/2
Δx ≥ 2/(3π) m
or about 21 centimeters.