Please write as clear and detailed as you can, and show any diagrams (like FBD)
ID: 1581040 • Letter: P
Question
Please write as clear and detailed as you can, and show any diagrams (like FBD) if needed. Thank you so much!
1. The merger of two massive black holes about 1.44 billion light-years away from the Earth was the source of the first directly observed gravity waves. During the merging of the two black holes, about 3.0 solar masses of energy were released in gravity waves. a. Using E=mc2, calculate the energy released in gravity waves. The mass of the sun is 30 -1 1.989×10 kg, and the speed of light is c = 2.99792458×108 ms b. The whole process took only about 0.2 seconds. What was the average power released? C. Convert your answer in part b into ‘solar luminosities, the amount of power produced by the sun, Lo-3.8x 1026 w. The Milky Way produces a power of approximately 1010 Lo. Which produces more power, an entire galaxy or the gravity wave source?Explanation / Answer
1.
mass m =3*solar mass
m = 3*1.989*10^30 kg
c = 2.99792458*10^8 m/s2
a.
from energy equation E = m*c^2
E = 3*1.989*10^30*(2.99792458*10^8)^2 J
E = 5.3628721515226*10^47 J
b.
time t = 0.2 s
the average power released is P = W/t = 5.3628721515226*10^47 /(0.2) W = 2.6814360757613*10^48 W
c. one solar luminosity is L = 3.8*10^26 W
now 2.6814360757613*10^48 in terms of L is
P/L = 2.6814360757613*10^48/(3.8*10^26) = 7.0564107256876*10^21 solar luminosities
it produced more than milky way
the entire glaxy produces more power than gravity wave source