Calculating Quantum Number from Bowling Ball Velocity in 1D Box

[logibear]

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.

 

[Matterwave]

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.