A 1.0 kg ball has a potential energy of 10 J and falls to the ground. What is the velocity right before it hits the ground? a)20 m/s
b)10 m/s
c)4.5 m/s
d)15 m/s

Materials will have different energies associated with the electrons inside them. this is related to how strongly bound they are by their work function. if we sandwich a material with a very low energy between two materials with a high energy, we create a trap for an electron. if this trap is very narrow in one direction in comparison to the others, this is approximately a 1-dimensional box that confines the electron. what is the lowest energy of an electron in the box if the thinnest direction across the materials is 4.81 nm?