Astrophysicists estimate that there are about 100 billion galaxies in the universe, and thaton average each galaxy has about 100 billion stars. Comparing this estimate to Archimedes’ estimate, which is larger: the number of stars in the universe, or the number of grains of sand needed to fill a volume the size of the Earth?

Q: Language history Refer to Exercise 48 of Section 5.2. If a language originally had No basic words of…

A: Given, Nt are words that are still in use which is given by: Nt=No0.805t   .........1 According to…

Q: 1.The world population is growing at a consistent rate of 1.05% every year. If the present…

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Q: Two galaxies are moving away from each other at 8000 km/sec and are 4x103 light-years apart. It was…

A: The speed or velocity of an object is defined as the ratio between the distance traveled by an…

Q: In the deep space between galaxies, the density of atoms is as low as 106 atoms/m3, and the…

A: To determine,Part aThe pressure in the Pa.part bWhat volume (in m3) is occupied by 5 mol of gas.part…

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: Suppose we find an Earth-like planet around one of our nearest stellar neighbors, Alpha Centauri…

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Q: Convert 3,000 grades/century to Mega Hertz (MHz)

A: to convert : 3000 gradescentury to Mega Hertz

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: random times over the last 1010 years. The rate of star formation is simply the number of stars…

A: Number of stars in our milky Way galaxy is  N=9×1010 Time taken in the formation of a plane

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: I've run the math - several times - 1.18x1089x12x2.54 / 103 I'm getting3.92E-4 or 39167.4096…

A: Given Data, Density (ρ) = 1.18 g/L Length and breadth of the room = 11.0 ft ×11.0 ft Height of the…

Q: Astronomers use a special unit to measure distances called astronomical unit (AU) where 1 AU is…

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Q: given that 4.82803 kilometers is approximately equal to 3 miles a) express the kilometer to mile…

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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: In the deep space between galaxies, the density of atoms is as low as 106 atoms/m3, and the…

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

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Q: How often (in years) does a planetary system form in our galaxy?

A: Number of stars in our galaxy = 3 x 1011 stars time to consider = 1010 years rate of star formation…

Q: Suppose that stars were born at random times over the last 1010 years. The rate of star formation is…

A: Given that, The total number of stars in the Milky way is N=8×1011 And the stars were born at random…

Q: For a circular velocity profile of the type (r) = ar¹/9, where a is a constant and r is the radial…

A: Step 1: Step 2: Step 3: Step 4:

Q: On average, how far away are galaxies that are moving away from us at 2.0% of the speed of light?

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Q: 2. If the world's population is increasing at an annual rate of 1.3%, and there were 5 billion peop…

A: GivenAnnual rate (R)=1.3 %People in Year 1986 (P)=5 billion

Q: Measure the length of the meter stick using your ruler. How many ‘rulers’ is equal to the length of…

A: A standard wooden/plastic ruler measures 1 feet i.e. 12 inches or 30 cm.  As a meter stick is 1…

Q: Find the approximate mass of the dark and luminous matter in the Milky Way galaxy. Assume the…

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Q: How many galaxies are there in the universe?

A: A galaxy is a gravitationally bound system of stars, stellar remnants, interstellar gas, dust, and…

Q: Suppose you collected a data set in which you measured fall-times for different fall-heights. You…

A: The relation between the fit parameter A from the given mathematical model to and the parameter g…

Q: The Tully-Fischer method relies on being able to relate the mass of a galaxy to its rotation…

A: Given: Distance of galactic center of Milky way r = 50 kpc r=50kpc3.086×1019m1kpc=154.3×1019m.…

Q: The fictional city of Torontino radially has a population density of 1000e^(−0.01r^2) people per…

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Q: The disk of the Milky Way galaxy contains roughly 200 billion (1 billion = 109 ) stars. The disk is…

A: The milky way galaxy consists of a disk of about 100000 ly diameter and a thickness of about 1000 ly…

Q: Assume the observable Universe is charge neutral, and that it contains n nuclei (hydrogen plus…

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Q: How many atomic nuclei (diameter = 1 × 10¬1 cm) would it take to stretch from one end of the known…

A: diameter of atomic nuclei (d) = 10-13 cm = 10-15 m distance of one end of universe to its other end…

Q: 4. How long is a microcentury in minutes? Note that 1 century is 100 years and 1 year is 365.25…

A: 1 century = 100 years 1 year = 365.25 days

Q: In the deep space between galaxies, the number density of atoms is as low as 106 atoms/m3, and the…

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Q: The temperature of the universe is 2.76 K. What is the wavelength of the cosmic background…

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Q: What would be your estimate for the age of the universe if you measured Hubbleʹs constant to be 33…

A: We are given the value of Hubble constant. We are to find the age of universe. We are also given the…

Q: In the deep space between galaxies, the density of atoms is 1 million atoms per m3 (i.e. there are 1…

A: Given: Density of an atom = 1 million atom in a m3. Temperature = 3 K

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

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Q: Calculate the number of miles in a light-year, using 1.86 105 mi/s as the speed of light. (Hint:…

A: Given data: The speed of light c = 1.86 × 105 miles/s No. of days in a year = 365 days

Q: If the current mass of the universe consists of 75% protons and 25% 4He, what is the current ratio…

A: Given: Universe consists of 75% protons and 25% 4He.

Q: For a circular velocity profile of the type (r) = ar¹ ar1/9, where a is a constant and r is the…

A: