Aperson runs up several flights of stairs and is exhausted at the top. later the same person walks up the same stairs and does not feel as tired. ignoring air resistance, does it take more work to run up the stairs than to walk up?

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?