Explore BrainMass

Explore BrainMass

    A bouncing particle

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    (a) Construct quantities having the dimensions of energy and of length when the potential energy is V(z) = mgz for z > 0 and V(z) = 1 for z < 0.

    (b) An electron bounces on a horizontal surface. In its lowest energy states, the electron stays near the surface, held there by gravity. Show that the minimum thickness of the layer in which the electron is likely to be found is about 1 mm. Why is this so large?

    Note: Experiments have been done on very low-energy ("ultracold") bouncing neutrons.

    © BrainMass Inc. brainmass.com October 9, 2019, 9:00 pm ad1c9bdddf

    Solution Preview

    Clearly, if we find a quantity with the dimensions of a length, L, we can multiply that by mg to obtain a quantity with the dimensions of energy, E:

    E = m g L (1)

    We can also use the equation E = h f = hbar omega to write down another expression for the energy by taking the ...

    Solution Summary

    The expert constructs quantities having the dimension of energy and of length for potential energy.