10. The absolute magnitude in the B band of the Sc galaxy M101 is MB = -21.51. « a) Using the Tully-Fisher relation MB = -11.0 log1o(Vmax) + 3.31, estimate the max rotational velocity Vmax of M101. Note that in this equation Vmax is in units of km/s b) Using the equation log1o(R25) = – 0.249MR – 4.00, estimate the isophotal radius R25 for M101. Note that R25 in this equation is in units of kpc. c) Using the equation M="max" estimate the mass of M101 that is interior to R25. Express your G answer in units of solar masses. Be very careful with your units.
10. The absolute magnitude in the B band of the Sc galaxy M101 is MB = -21.51. « a) Using the Tully-Fisher relation MB = -11.0 log1o(Vmax) + 3.31, estimate the max rotational velocity Vmax of M101. Note that in this equation Vmax is in units of km/s b) Using the equation log1o(R25) = – 0.249MR – 4.00, estimate the isophotal radius R25 for M101. Note that R25 in this equation is in units of kpc. c) Using the equation M="max" estimate the mass of M101 that is interior to R25. Express your G answer in units of solar masses. Be very careful with your units.
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Transcribed Image Text:10. The absolute magnitude in the B band of the Sc galaxy M101 is M3 = -21.51. -
a) Using the Tully-Fisher relation MB =-11.0 log10(Vmax) + 3.31, estimate the max rotational
velocity Vmax of M101. Note that in this equation Vmax is in units of km/s
b) Using the equation log1o(R25) = - 0.249MR – 4.00, estimate the isophotal radius R25 for M101.
Note that R25 in this equation is in units of kpc.
c) Using the equation M="maxR
estimate the mass of M101 that is interior to R25. Express your
G
answer in units of solar masses. Be very careful with your units.
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