If astronaut a(90kg) and astronaut b(110kg) are linked by 9.5m of rope and the centre of mass is 5.2m from astronaut a. what is the velocity of the 2 astronauts?

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?