Calculating Quantum Number from Bowling Ball Velocity in 1D Box

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SUMMARY

The discussion centers on calculating the quantum number for a bowling ball modeled as a particle in a one-dimensional box. Given the mass of 6.8 kg, a lane length of 18.288 m, and a velocity of 2.2352 m/s, participants suggest using the kinetic energy of the bowling ball to determine the corresponding quantum number. The kinetic energy is set equal to the energy of a particle in a 1-D box, leading to the conclusion that the resulting quantum number will be significantly large due to the mass and dimensions involved.

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1. A bowling ball has a weight, and the length of the bowling lane is given. Treat the ball in the lane as a 1-d box. What quantum number corresponds to a velocity that is given?
mass - 6.8kg
length: a - 18.288 m
velocity - 2.2352 m/s



Homework Equations



Not really sure what they expect us to use..


The Attempt at a Solution



I figure that the bowling ball is assumed to be a micro particle. So it should have an energy associated with its wave function that could be determined by momentum. Other than that... not really getting what they want me to do.
 
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Just take the kinetic energy of the bowling ball, and set that to E (since potential is 0 inside the box).

Find the n that corresponds to this E in the equation for the energy of a 1-D box.

It should be a very large number.
 

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