(a) We know that if a 110 lb person compresses the spring 0.11 inches, then a person weighing double that amount will compress the spring double, i.e. the person would weigh 220 lb.
(b) The amount of work done in compressing the spring 0.11 inch is given by the integral:
Because each color is refracted differently, each bends at a different angle, resulting in a fanning out and separation of white light into the colors of the spectrum.