2) Investigate the average density of Main-Sequence stars. (a) Make a log-log plot of Mass (yaxis) versus Radius (x-axis) for spheres with constant densities of 102, 103, and 104 kg/m3 and Masses between 0.05 MSW and 200 M31\Table of Observed Properties of Stars on the Main Sequence Spectral Toff Luminosity R Mass Type 02 50,000 800000 12 100 06 38,000 180000 9.8 35 B0 30,000 20000 7.4 18 B5 16,400 800 3.8 6.5 A0 10,800 80 2.5 3.2 A5 8,620 20 1.7 2. 1 F0 7,240 6.0 1.3 1.7 F5 6,540 2.5 1.2 1.3 G0 5,920 1.26 1.05 1.] G2 5,780 1 1 1 G5 5,610 0.79 0.93 0.92 K0 5,240 0.40 0.85 0.78 K5 4,410 0.16 0.74 0.69 M0 3,800 0.072 0.51 0.60 M5 3,120 0.0027 0.18 0.15 M8 2,650 0.0004 0.11 0.08 L1 2,200 0.00017 0.09 0.07 Luminosity, Radius, and Mass in Solar Unjts. Toff in K degrees