3. The spring in a marble launcher is compressed 0.080 m by a marble of mass 0.0051 kg and is locked in. The launcher makes an angle of 62° with the horizontal. The spring is
released and the marble exits the launcher. How much did the GPE of the marble change
as it moved from the compressed to the released position of the spring (Ax = 0.080 m)
along the barrel of the launcher?

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?