1. The Luminosity of the sun is 3.84e26 W. a. What is the flux (power/area in J/s/m>) on the Earth's surface? (HINT: make a huge sphere with the earth at the surface and the sun in the middle. Then plug in the earth-sun distance as the radius). Show your work! b. The radius of earth is 6.38e6 meters. How much energy does the earth receive from the sun every second? (HINT: treat the earth as a big circle and multiply the area of that circle by the solar flux). Show your work! c. If terrestrial humanity were to harvest ALL this energy every second, what would be left for solar heating and terrestrial photosynthesis? Explain