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kongieieie

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1. Homework Statement

A woman is on a ladder of height H. She drops small rocks of mass m toward a point target on the floor.

Show that according to the Heisenberg Uncertainty Principle, the average miss distance must be at least

delta(x final) = sqrt [h/pi*m] * sqrt sqrt [2H/g]

where h is the Planck's constant,

pi is 3.14

m is the mass of the rock

H is the height from which the rock is dropped

g is the acceleration due to gravity.

Assume that delta(xfinal ) = delta(x initial) + (delta(v))*t

Also justify the assumption.

2. Homework Equations

delta(x) * delta(p) < or = [h/4*pi]

delta(p) = m * delta(v)

v= u +at

s= 0.5(u + v)t

s= ut +0.5at^2

v^2= u^2 +2as

3. The Attempt at a Solution

I did a couple of substitutions and got something like t=sqrt[2H/g] and delta(v)=sqrt[2gH] but I can't seem to get the equation needed. Tried for 2 hours and can't seem to understand it all. Please help? Or at least give some hints. Also, I don't know how to justify the assumption above.