With what maximum accuracy can its position be determined?

AI Thread Summary
The discussion revolves around determining the maximum accuracy of a car's position given its mass and speed, specifically a 2000 kg car traveling at 22 m/s with an uncertainty of ±0.25 m/s. The relevant equation used is the Heisenberg uncertainty principle, which relates uncertainties in position and momentum. The user initially attempted to calculate the position uncertainty by using the reduced Planck constant but struggled with incorporating the speed uncertainty. It was clarified that the calculation should involve deltaP, the uncertainty in momentum, rather than the momentum itself. Understanding how to apply the uncertainty in speed is crucial for accurately determining the position uncertainty.
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Homework Statement



An 2000kg car is traveling with a speed of (22 (+/-) 0.25) m/s.
With what maximum accuracy can its position be determined?

Homework Equations



(deltaX)(deltaP)>=h/2pi

The Attempt at a Solution



My attempt was solving for deltaX in the above equation. I used (1.06*10^-34 Js) for the h/2pi and then divided by the mass*velocity which would be (2000kg*22m/s). I don't know how to take into consideration the (+/-).25, or if that is even relevant to the problem.
 
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Sure it's relevant. You don't want to divide by P. You want to divide by deltaP, the uncertainty in the momentum.
 
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