A ray of light of frequency 5.09 x 10^14hertz is incident on a water-air interface as shown in the diagram below. 1) Calculate the angle of refraction of the light ray in air for the situation shown. [Show all work, including the equation and substitution with units.]

2) For the situation shown, calculate the speed of the light while in the water. [Show all work, including the equation and substitution with units.]

Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. the first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. assume that the positive direction is directed from the second satellite towards the first satellite. (a) calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.(b) what is the loss of kinetic energy in this inelastic collision? (c) repeat both parts, in the frame of reference in which the second satellite was originally at rest. final velocity(d) loss of kinetic energy = ?