Calculate the uncertainty (in m) in the position of a 120 g baseball thrown at a velocity of 45m/s if the uncertainty in velocity is 2%.
Here:
velocity = 45 m/s
Δv = 2.0% of velocity
Δv = 2.0*45/100
Δv = 0.9 m/s
use Heisenberg uncertainty principle,
Δx*Δv = h/(4*pi*m)
Here:
Δv = 0.9 m/s
mass, m = 1.2*10^2 g
= 0.12 kg
Putting values,
Δx*(0.9) = (6.626*10^-34)/(4*3.14*0.12)
Δx*(0.9) = 4.396*10^-34
Δx = 4.885*10^-34 m
Answer: 4.9*10^-34 m
Calculate the uncertainty (in m) in the position of a 120 g baseball thrown at a...
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