Solution_Set_10 - SOLUTION SET 10 Physics 2022 Spring 2008...

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SOLUTION SET 10 Physics 2022 – Spring 2008 1. m - M = 5 log (d / 10) = +10 - (-19.9) = 29.9 d = 9.5 x 10 6 pc = 9.5 Mpc 2a. d = v / H o = (10,800 km/s) / (71 km/s/Mpc) d = 152 Mpc = 152 x 10 6 pc = 496 x 10 6 LY 2b. if H o < 70 km/s/Mpc then d would increase if H o > 70 km/s/Mpc then d would decrease 3. H o = v / d = (7500 km/s) / (1.4 x 10 2 Mpc) = 54 km/s/Mpc 4. ( M g1 + M g2 ) = a 3 / P 2 = [ (600 x 10 3 pc) (206265 AU/pc) ] 3 / (40 x 10 9 yr) 2 = (1.89 x 10 33 ) / (1.6 x 10 21 ) = 1.2 x 10 12 solar masses 5. H o = 70 km/s per Mpc v = 1600 km/s v = d H o d = v / H o = 1600 km/s / 70 km/s/Mpc = 22.8 Mpc
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6. d = 2 pc v = 100 km/s P = 2 π d / v = (2 π x 2 x 206265 x 1.5 x 10 8 km) / 100 km/s = 3.9 x 10 12 s = 1.23 x 10 5 yr M = d 3 / P 2 = (2pc x 206265) 3 / (1.23 x 10 5 yr) 2 = 4.6 million solar masses 7. M = 1 billion solar masses L edd = 30,000 M L sun = 30,000 (10 9 ) L sun = 3 x 10 13 L sun 8. L = 10 12 L sun L edd = 30,000 M L sun = 10 12 L sun M = 10 12 / 30,000 = 3.3 x 10 7 solar masses
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Solution_Set_10 - SOLUTION SET 10 Physics 2022 Spring 2008...

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