[NA] Onzekerheids principe

[DMC]

Bij de volgende vraagstuk kom ik niet uit... weet iemand hoe aan te pakken?

A series of small ball-bearings each of mass m is dropped from a height H directly above a small spot on the floor. Because, according to the Uncertainty Principle, initial conditions are uncertain, it cannot be assumed that each ball-bearing falls directly onto the spot.

By applying the Uncertainty Principle to the horizontal position and momentum of the ball-bearing, derive an expression for the diameter of the circle around the spot which corresponds to the minimum range in which the ball-bearings fall.

Alvast bedankt

[00Teun]

Leuk vraagstuk, ik ben er niet zeker over, maar is het volgende misschien een oplossing?

1: delta t =wortel[2gH]

2: delta px = m delta x/delta t = (delta x) m/wortel[2gH]

3: delta px delta x = hstr./2 => delta px = hstr./(2delta x)

2+3: (delta x) m/wortel[2gH] = hstr./(2delta x) => delta x = wortel[hstr./2m wortel[2gH] ]
(eliminatie delta px).

[DMC]

Yup klopt . Heb allang al de uitwerking gehad, maar toch bedankt!