22-24. In these problems, you will describe the potential energy curve for an electron tunneling from a scanning tunneling microscope (STM) tip to the sample's surface that is 3 nm away. Assume that the tunneling electron is the highest energy electron in the tip but has very little kinetic energy. The tip has a work function of 4 c V and the sample has a work function of 5 eV. 22. (2 Points) Draw the potential energy curve for an electron in the case where there is NO VOLTAGE difference between the tip and the surface. Your curve should show potential energy in the tip, the gap between tip and surface, and the sample's surface (LABEL EACH). Explain the shape, and label and explain all the quantities you know. energy X sample 3 nm tip 23. (2 Points) You hook up a 5 V battery between the tip and the sample's surface, with the positive side of the battery hooked to the sample. Draw a new curve and explain what has changed, what has not changed, and indicate energy of the tunneling electron and the direction the electron will tunnel. energy sample 3 nm tip24. (1 Point) Does an electron lose energy when it tunnels? Explain your answer in terms of conservation of energy