Uncertainty principle

Homework Statement

Hey guys.

I have this kid throwing a ball with mass M and from high H.
He is trying to hit a crack in the floor.
I need to show that in order for the ball not to miss the crack, the minimal width of the crack (delta x) should be the expression in the red box in the pic.

http://img43.imageshack.us/img43/6563/scan0001fon.jpg [Broken]

How can I find the connection between (delta v) and v?

Thanks.

The Attempt at a Solution

Last edited by a moderator:

chiro
The uncertainty principle states in brief that when you measure momentum and distance you relate the two in the form

delta_p * delta_x >= h/2 where h is plancks constant and the deltas are the statistical deviations from the mean of the random variable.

If you want a good mechanism on explaining quantum mechanics you should read a book by Feynmann and Hibbs called the Path Integral formulation written by a famous physicist called Richard Feynmann. It goes into great detail explaining the formulation of quantum mechanics using functionals.

I'm about to study it myself in great detail but I have seen a copy already and it is very very good.

Basically the derivation involves assuming a gaussian distributed random variable and then taking the various deviations on that variable. There is a better explanation of this in books involving descriptions of wave mechanics.

Anyway hope that helps.

Last edited:
diazona
Homework Helper

Homework Statement

Hey guys.

I have this kid throwing a ball with mass M and from high H.
He is trying to hit a crack in the floor.
I need to show that in order for the ball not to miss the crack, the minimal width of the crack (delta x) should be the expression in the red box in the pic.

http://img43.imageshack.us/img43/6563/scan0001fon.jpg [Broken]