The sun produces about 3.8x1026 W of electromagnetic radiation. The mass of the sun is 1.99x1030 kg. Consider a solar sail that has an area of 45.0 m2 . The sail is perfectly reflecting at all wavelengths. Assume that the sail is 1.00 mm thick. Find the maximum density (e.g. kg/m3 ) that the sail could have and still experience a net outward force due to the radiation pressure from the sun. Show that this value does not depend on the distance from the sun. Compare the answer you get to the density of water (1000 kg/m3) and comment on whether or not a 1mm thickness is reasonable for a possibly working solar sail. If you had to design a solar sail, which thickness would you choose? Which material would you use?