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## Homework Statement

A small object of mass 1mg is confined to move between two rigid walls separated by 1cm, if the speed of the object is 3cm/s find the corresponding value of n

## Homework Equations

[tex]P=\sqrt{2mE}[/tex]

[tex]E = \frac{h^{2}}{8mL^{2}}[/tex]

## The Attempt at a Solution

V = 3cm/s = .03m/s

m = 1mg = [tex]1x10^{-6}kg[/tex]

P = mv

[tex]mv=\sqrt{2mE}[/tex]

[tex](mv)^{2} = 2mE[/tex]

[tex]E=\frac{(mv)^{2}}{2m} = \frac{[(.03)(1x10^{-6})]^{2}}{2} = 4.5x10^{-16}J[/tex]

[tex]E = \frac{h^{2}}{8mL^{2}}[/tex]

[tex]n = \sqrt{\frac{8EmL^{2}}{h^{2}}}[/tex]

[tex] = \sqrt{\frac{(8)(4.5x10^{-16})(.01)(1x10^{-6})^{2}}{(6.626x10^{-34})^{2}}}[/tex]

I get...[tex]9.1x10^{18}[/tex]

seems rather large...any ideas?

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