The distance between Earth and Jupiter is 30 lmin with respect to the Solar System. Suddenly, Jupiter lights up as a protostar, and with respect to the Solar System, 45 min later all wireless communications fail on Earth. Consider event A as the lighting of Jupiter as a protostar and event B as the failure of wireless com- munications on Earth. (a) How long will it take for a wave of light to travel from Jupiter to Earth, relative to the Solar System? (b) The time of 45 min between these two events is not the proper time. Explain. (c) Is there a proper time between these two events? If yes, find the speed relative to the Solar System for the proper time observer as well as the value of this proper time. If no, explain why not. (d) What is the time between these two events on a frame moving at 0.75 c relative to the Solar System? Note that there are two solutions to this question. Do not forget that speeds relative to the Solar System are not the same as speeds relative to the proper-time frame. (e) Is it possible for these two events to be causally