Heisenberg Uncertainty Principle homework Question

  • Thread starter kongieieie
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  • #1
kongieieie
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Sorry about not using symbols but I haven't learned how to do that yet.

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.
 

Answers and Replies

  • #2
kongieieie
6
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Nvm. I found a similar answer in another thread.
 

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