1. The energy from the sun incident on the surface of the earth averages 32.0 cal/(min-cm²). It has been proposed to use space stations in synchronous orbits 36,000 km from the earth to collect solar energy. How large a collection surface is needed (in m²) to obtain 10⁸ watts of electricity (equivalent to a typical 100 MW power plant)? Assume that 10% of the collected energy is converted to electricity. Is your answer a reasonable size?