A bead of mass 5.00 g slides freely on a wire 20.0 cmlong. Treating this system

Question

A bead of mass 5.00 g slides freely on a wire 20.0 cmlong. Treating this system as a particle in a one-dimensionalbox, calculate the value of n corresponding to the stateof the bead if it is moving at a speed of 0.100 nm per year (thatis, apparently at rest). Equation: where h = hbar, m = 0.005 kg, L = 0.2 m Attempt: What I did was set the energy equal to the rest energy (mc^2)and solve for n. However, that turned out to be an extremelylarge number (7.37 E22) , while probable, is unlikely. Imassuming i went wrong somewhere either in my energy equation orsomewhere else but I dont know where. Can anyone be of someassistance?

Explanation / Answer

Calculate En using 1/2 mu^2
then use that to solve for n.
n= sqrt( (8 m L^2 En)/h^2 )

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