It is possible to derive the age of the universe given the value of the Hubble constant and the distance to a galaxy, again with the assumption that the value of the Hubble constant has not changed since the Big Bang. Consider a galaxy at a distance of 235 million light-years receding from us at a velocity, v. If the Hubble constant is 20.5 km/s per million light-years, what is its velocity? (Enter the magnitude in km/

Q: Pretend that galaxies are spaced evenly, 4.0 Mpc apart, and the average mass of a galaxy is 1.0 x…

A:

Q: Calculate the age of the universe if the Hubble constant were 65 km/s/Mpc.

A:

Q: How would I calculate the age of the universe in billions of years from the Hubble constant (73.48…

A: Everything that exists resides in the universe, including the Earth, planets, stars, space, and…

Q: Suppose that the outer stars of a galaxy have an orbital velocity of 150 km/s. If the radius of the…

A: Given data: rgalaxy=4 kpcv=150 km/s Need to determine the orbital period of the outer stars.

Q: (a) Calculate the approximate age of the universe from the average value of the Hubble constant, H0…

A: ( a ) To find the time  t =dv t = 1Mly106ly1Mly9.46×1012km1ly20km/s t = 4.73 x 1017s

Q: The figure below is based on an assumed Hubble constant of 70 km/s/Mpc. How would you change the…

A: Given Hubble constant velocity = 70 km/s/Mpc

Q: Indicate whether the following statements are true or false. (Select T-True, F-False. If the first…

A:

Q: Pretend that galaxies are spaced evenly, 8.0 Mpc apart, and the average mass of a galaxy is 1.0 ✕…

A: Average density of the matter in the universe ρavg=M43πd23=6Mπd2

Q: Imagine that an observed distant galaxy is measured to have a distance of 40 Mpc by a Type Ia…

A:

Q: Using our example from the previous unit, let's try to determine the Hubble time for this example…

A: Solution     Given dataSpeed v=4000km/sDistance d=20Mpcwhat would the age of that universe be in…

Q: responding to a claim that the number of grains of sand was infinite, calculated that the number of…

A: Given information: The Archimedes estimate of the number of grains needed to fill the universe (n1)…

Q: Consider a universe in which the Hubble constant has been measured to have the value H0 = 50…

A: Hubble's law gives the idea that the universe is continuously expanding, and that galaxies are…

Q: A given star orbits the center of its galaxy at an average speed of v_star, at a distance of r_star​…

A: Given, Velocity of star,vS=200km/s=200×103m/sRadius of star,RS=9 kpc=9×3.086×1019mVelocity of…

Q: If a galaxy is 9.0 Mpc away from Earth and recedes at 488 km/s, what is H0 (in km/s/Mpc)?  km/s/Mpc…

A: The question above has been given from Hubble's law. This law is also known as the Hubble-Lemaitre…

Q: given: a (distance to center of galaxy in AU) = 1,717,914,439 AU P (suns orbital period in years)…

A: Given: a (distance to center of galaxy in AU) = 1,717,914,439 AU P (suns orbital period in years) =…

Q: The matter density in the Universe today is ?m=2.7×10−27kgm−3. What would be the value of the…

A: Given that the matter density in the Universe today is 2.7×10-27 kg/m3 and the Hubble constant is 38…

Q: solar masses. (Hint: Use the formula for circular velocity, V. = VS"; make sure you convert relevant…

A: Given Data: The orbital velocity of a globular cluster is, ve=417 km/s The distance from the centre…

Q: Indicate whether the following statements are true or false.   (Select T-True, F-False. If the…

A: T T T F T T

Q: Pretend that galaxies are spaced evenly, 2.0 Mpc apart, and the average mass of a galaxy is 1.0 x…

A: We know that:-Spherical galaxy average density,ρ=M43πr23         Equation 1r=2.0 Mpcconvert Mpc to…

Q: 5.4 In a negatively curved universe containing only matter (2, < 1, K = -1), show that the present…

A: Given, the universe contains only matter and Ωo&lt;1 So scale factor will be a=12ΩoΩo-1coshθ-1…

Q: Let's say that the number density of galaxies in the universe is, on average, 3 × 10–68 galaxies/m3.…

A: Given :number density of galaxies, n = 3 × 10–68 galaxies/m3            Observable distance by…

Q: If the active core of a galaxy contains a black hole of 106 M, what will the orbital period be for…

A: The expression for the orbital period, T=2πrv    =2πrGMr    =2πr32GM

Q: Among the globular clusters orbiting a distant galaxy, one is moving at 534 km/s and is located 14…

A: Given data: Speed of the globular clusters around the galaxy is, v= 534 km/s= 534000 m/s Distance of…

Q: If the active core of a galaxy contains a black hole of 106 Me, what will the orbital period be for…

A:

Q: 17). If you were to live another 65 years and there was a starship ready to go right now, how fast…

A:

Q: Our galaxy is approximately 100,000 light years in diameter and 2,000 light years thick through the…

A:

Q: Perhaps the most fundamental problem in all of astronomy is the determination of distance to the…

A: "The Hubble Law relates the recessional speed of distant objects (measured with the Doppler Effect)…

Q: tudying for test: A new astronomical measurement suggests that the Hubble constant is 1112…

A: Given the new value of of the Hubble constant H0=1112km/s/MpcWe know1Mpc=3.086×1019kmHence…

Q: Assume that the number density of stars in the Milky Way is 0.14 pc-3. (e) There are 10" stars…

A: Given, Number density of star is, ρ = 0.14 pc-3 Total number of stars in galaxy, N=1011 Let d is the…

Q: The time for a galaxy to cross from one side of a cluster to the other is called the crossing time.…

A: We are given the velocity of galaxy. We are also given the diameter of cluster. This diameter is…

Q: A galaxy's distance from us is measured to be 49 Mpc. Using the same value of the Hubble constant,…

A: Given:distance of the galaxy, d = 49 Mpcstandard value for hubble's constant is, H = 70…

Q: Compute a numerical value (in units of protons/m3 ) for the critical density of our Universe. How…

A: The critical density for the Universe is given by, ρ = 3H28πG where H is the Hubble constant and G…

Q: Astronomy) Cygnus Loop Velocity. If the Cygnus Loop is 25 pc in diameter and is 10,000 years old,…

A:

Q: If a galaxy is 8.9 Mpc away from Earth and recedes at 497 km/s, what is H, (in km/s/Mpc)? km/s/Mpc…

A:

Q: Use the redshift of 3.8 for 4C41.17, a powerful radio galaxy, to determine the distance of the…

A: (a) the speed of the galaxy is, vc=z+12-1z+12+1vc=3.8+12-13.8+12+1=0.917v=0.9173×105 km/s=2.75×105…

Q: According to the version of the Big Bang Theory without a Cosmological Constant (and without Dark…

A: Hubble's Law states that as the universe is expanding in all directions, the receding velocity of an…

Q: If you find a galaxy that is the same size and mass as our Milky Way Galaxy, what orbital velocity…

A: Mass of our galaxy (M1): 4.0 X 1011 M Semi-major axis of the orbit (a): 51 kpc

Q: (a) What Hubble constant corresponds to an approximate age of the universe of 1010 y? To get an…

A:

Q: If a galaxy is 9.0 Mpc away from Earth and recedes at 488 km/s, what is H, (in km/s/Mpc)? | km/s/Mpc…

A: Hubble discovered that galaxies appear to move away from Earth and the velocity of recession (v) is…

Q: Let's say that the number density of galaxies in the universe is, on average, 3 × 10–68 galaxies/m3.…

A:

Q: If a galaxy is 8.8 Mpc away from Earth and recedes at 498 km/s, what is H0 (in km/s/Mpc)? _______…

A: The required value of Hubble’s constant is, The required value of Hubble time is,

Q: If the universe had a density equal to its estimated critical density of 9= 10-30 g/cm3, and if it…

A: Given Critical density ρc =  9×10-30 g/cm3 Mass  (M)                 = 2.0 × 1030 kg

Q: Pretend that galaxies are spaced evenly, 7.0 Mpc apart, and the average mass of a galaxy is 1.0 ✕…

A: The average density of matter in the universe is given by

Q: If a planet was located approximately 32 thousand light-years from the center of a galaxy and orbits…

A: The distance of planet is 32 thousand light years from center of galaxy and its time period is 313…

Q: Based on comparison with the Moon, it can be calculated that Andromeda would have to have a diameter…

A:

Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.