1. if a galaxy contains a type i (classical) cepheid with a period of 30 days and an apparent magnitude of 19, what is the distance to the galaxy? (hints: see this figure and use the magnitude-distance formula d = 10(mv − mv + 5)/5.)
mpc
2. if a galaxy contains a supernova that at its brightest has an apparent magnitude of 12, how far away is the galaxy? assume that the absolute magnitude of the supernova is
−18.(hint: use the magnitude-distance formula d = 10(mv − mv + 5)/5.)
mpc
3. if you find a galaxy that is the same size and mass as our milky way galaxy, what orbital velocity would a small satellite galaxy have if it orbits 87 kpc from the center of the larger galaxy? (assume the total mass of our galaxy is about 4.0 multiply. gif 1011 solar masses, malchemist sun symbol.)
km/s
4. if a galaxy has an apparent radial velocity of 1872 km/s and the hubble constant is 70 km/s/mpc, how far away is the galaxy?
mpc