Light with a frequency of 6.1(1014) Hz is measured from a star known to produce light with a frequency of 6.0(1014). How fast is the star moving toward or away from earth?
f = f0(v + vo)/(v-vs.
f0 = original frequency
vo = wave of observer
vs=wave of source
The Attempt at a Solution
6.1(1014) = 6.0(1014)(3.0x108 + 0)/(3.0x108 + x)
-> (3.0x108 + x) = 6.0(1014)(3.0x108 + 0)/6.1(1014)
-> x = ( 6/6.1 x (3.0(108) ) - 3.0x108
-> -4918032.787 m/s
Moving away at 4918032.787 m/s
I feel that I'm doing it wrong since shouldn't it be moving toward earth since the frequency observed is higher?