Bundle: Physics For Scientists And Engineers: Foundations And Connections, Volume 1, Loose-leaf Version + Webassign Printed Access Card For Katz's ... And Connections, Single-term Courses
1st Edition
ISBN: 9781337759359
Author: Debora M. Katz
Publisher: Cengage Learning
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Chapter 7, Problem 32PQ
To determine
Explanation for why the idea that there is no difference between celestial and terrestrial laws of physics, is a necessary part of dark-matter estimate and of astrophysical study in general.
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The presence of Dark Matter was theorized due to the curve of the data that the motion of the stars around the central core of our neighboring galaxy (Andromeda) has been approximately flat rather than decreasing at large distances. Which fundamental concept in this chapter helped us in understanding this phenomena?
a.) Orbital speed
b.) Escape speed
c.) Law of equal areas
d.) Law of elliptical orbits
What happens to the magnitude of the force between two objects with the same mass if we double the distance between them?
a.) The magnitude of the force will be doubled.
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c.) The magnitude of the force will be halved.
d.) The magnitude of the force will be 1/9 of its inital magnitude.e. E
Question A7
State three pieces of evidence that support the idea that the Universe began in a hot Big Bang,
and explain how each piece of evidence supports the hot Big Bang model. Describe the ob-
servational evidence that supports the idea that the Universe is pervaded by Dark Energy, and
explain why each piece of evidence you cite supports the Dark Energy model.
Part 1. Stellar Mass Black Holes
These are the collapsed cores of massive stars which end their life in supernova explosions. The
stellar core can no longer use nuclear fusion to hold up the immense gravity, and collapses until
its escape velocity rises higher than the speed of light. Voila! A black hole is formed.
Part A: The Schwarzschild Radius
The Schwarzschild Radius is defined as:
2GM
(1)
=
c2
where r, is the Schwarzschild radius, G is the gravitational constant, M is the mass of the black
hole, and c is the speed of light.
1. Let's say we have a black hole with a mass 10 times that of the Sun (the Sun's mass is 2 x
1030 kg, so the mass of the black hole is then 2 x 1031 kg). Using the definitions for G and
c, what would the Schwarzschild radius of this black hole be?
2. If the radius of the Sun is 7 x 108 m, how does the black hole's radius compare? (Divide
the radius of the Sun by the Schwarzschild radius). Your answer should be in the form of
times smaller/bigger than the…
Chapter 7 Solutions
Bundle: Physics For Scientists And Engineers: Foundations And Connections, Volume 1, Loose-leaf Version + Webassign Printed Access Card For Katz's ... And Connections, Single-term Courses
Ch. 7.1 - What important experimental skills can we learn...Ch. 7.2 - Three possible planetary orbits are shown in...Ch. 7.2 - Prob. 7.3CECh. 7.2 - Prob. 7.4CECh. 7.2 - Todays employees are rewarded for thinking outside...Ch. 7 - We use the terms sunset and sunrise. In what way...Ch. 7 - Prob. 2PQCh. 7 - For many years, astronomer Percival Lowell...Ch. 7 - Prob. 4PQCh. 7 - Prob. 5PQ
Ch. 7 - Io and Europa are two of Jupiters many moons. The...Ch. 7 - Model the Moons orbit around the Earth as an...Ch. 7 - Prob. 8PQCh. 7 - Prob. 9PQCh. 7 - Prob. 10PQCh. 7 - Prob. 11PQCh. 7 - Prob. 12PQCh. 7 - A massive black hole is believed to exist at the...Ch. 7 - Since 1995, hundreds of extrasolar planets have...Ch. 7 - When Sedna was discovered in 2003, it was the most...Ch. 7 - Prob. 16PQCh. 7 - The mass of the Earth is approximately 5.98 1024...Ch. 7 - Prob. 18PQCh. 7 - Prob. 19PQCh. 7 - A black hole is an object with mass, but no...Ch. 7 - Prob. 21PQCh. 7 - Prob. 22PQCh. 7 - The Lunar Reconnaissance Orbiter (LRO), with mass...Ch. 7 - A Suppose a planet with mass m is orbiting star...Ch. 7 - Prob. 25PQCh. 7 - Three billiard balls, the two-ball, the four-ball,...Ch. 7 - Saturns ring system forms a relatively thin,...Ch. 7 - Prob. 28PQCh. 7 - Find the magnitude of the Suns gravitational force...Ch. 7 - Prob. 30PQCh. 7 - Prob. 31PQCh. 7 - Prob. 32PQCh. 7 - Prob. 33PQCh. 7 - Prob. 34PQCh. 7 - Prob. 35PQCh. 7 - In your own words, describe the difference between...Ch. 7 - The Sun has a mass of approximately 1.99 1030 kg....Ch. 7 - Prob. 38PQCh. 7 - Prob. 39PQCh. 7 - Prob. 40PQCh. 7 - Three billiard balls, the two-ball, the four-ball,...Ch. 7 - Prob. 42PQCh. 7 - Prob. 43PQCh. 7 - Prob. 44PQCh. 7 - Figure P7.45 shows a picture of American astronaut...Ch. 7 - Prob. 46PQCh. 7 - Prob. 47PQCh. 7 - Prob. 48PQCh. 7 - Prob. 49PQCh. 7 - Prob. 50PQCh. 7 - The International Space Station (ISS) experiences...Ch. 7 - Prob. 52PQCh. 7 - Two black holes (the remains of exploded stars),...Ch. 7 - Prob. 54PQCh. 7 - Prob. 55PQCh. 7 - Consider the Earth and the Moon as a two-particle...Ch. 7 - Prob. 57PQCh. 7 - Consider the Earth and the Moon as a two-particle...Ch. 7 - Prob. 59PQCh. 7 - You are a planetary scientist studying the...Ch. 7 - Prob. 61PQCh. 7 - Prob. 62PQCh. 7 - Planetary orbits are often approximated as uniform...Ch. 7 - Prob. 64PQCh. 7 - Prob. 65PQCh. 7 - Prob. 66PQCh. 7 - Prob. 67PQCh. 7 - Prob. 68PQCh. 7 - Prob. 69PQCh. 7 - Prob. 70PQ
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- Astronomers now think that there is a black hole with more than 4 milliion times the mass of our Sun at the center of our galaxy? Roughly how large would the event horizon of such a supermassive black hole be? a. the size of our moon b. about 4 light years across c. about 17 times the size of our sun d. about the size of an atom (so much mass really compresses the event horizon) e. this question can't be answered without knowing what kind of stars were swallowed by the black holearrow_forwardEstimating the mass of the Milky Way a) Assuming the Sun moves in a circular orbit of radius 8 kiloparsecs around the center of the Milky Way, and that its orbital speed is 220 km/s, calculate how many years it takes the Sun to complete one orbit of the Galaxy. Remember to convert kiloparsecs to kilometers. b) Using the modified form of Kepler's third law (introduced in Lecture 13, for measuring the combined masses of binary stars), R³ m+ M = estimate the mass of the Milky Way enclosed within 8 kpc (Sun's orbit radius). The mass of the Milky Way inside p² I the Sun's orbit can be represented as a single mass (M) located at its center, and the mass of the Sun (m) can be considered infinitesimally small compared to the Milky Way's (i.e., m < M). c) Is this estimate of the Milky Way's mass an upper or lower limit? Explain your reasoning.arrow_forwardHubble's First Attempt. Edwin Hubble's first attempt to measure the universe's expansion rate was flawed because the standard candles he was using were not properly calibrated. Look at (Figure 1) a.Estimate the value of Ho corresponding to the solid line in the figure. Express your answer kilometers per second per million light-years to two significant figures. b.What is the approximate age of the universe indicated by that erroneous value of Ho? Express your answer in years to one significant figure.arrow_forward
- Using MBH = 6.6 × 10 Mo, calculate the below. a. Find radius of the Schwarzschild sphere (Schwarzschild radius Rs). You can calculated from the appropriate formula or just use the fact that for an object of 1 solar mass Rs = 3 km. b. Express Rs in km, in AU, in parsecs. c. Using the distance to M87 and your result above, find angular radius of the SMBH (Schwarzschild radius). Express it in arcseconds (") and micro- arcseconds (pas) d. Take the radius of Pluto's orbit equal to 40 AU and find its angular size (in micro-arcseconds, pas) at the distance of M87.arrow_forwardThe supermassive black hole at the center of a galaxy has a mass of 6.5 billion solar masses. If we assume that it is a Schwarzschild black hole, what is the radius of this black hole? A. 18 light hours B. 20 light hours C. 16 light hours D. 14 light hours Is the answer A? S. radius = 3 x 6.5 x 109 x 9.26567-10 = 18.1 light hours Thanks!arrow_forwardProblem 2. The redshift is defined to be the quantity Job – Xem Xem where Aob and Aem are respectively the wavelengths at which radiation is observed and emitted. 1. Find the corresponding definition in terms of observed and emitted frequencies fob and fem. 2. The observed frequency of radio waves from a distant galaxy is 5 GHz. At the location of galaxy, the frequency is 6 GHz. Calculate the redshift of the galaxy. 3. If the galaxy was 500 Mpc away from the Milky way when the radio waves were emitted. How far away is this galaxy today?arrow_forward
- Astronomy Briefly explain what evidence we can use to learn about the lives of stars even though their lives are far longer than human lives. Why do HR diagrams look different for star clusters of different ages? How do we use the diagram to determine the age of the cluster? How can we estimate how much longer the lifetime of a low-mass star is than the lifetime of a high-mass star? How do we use parallax to measure the distance to stars? Explain the inverse square law for light. If we know the distance to a star, how do we find its luminosity? If we know the luminosity of a star, how do we find the distance? What are apparent magnitude and absolute magnitude? How do they relate to apparent brightness and luminosity? What is meant by spectral type? What spectral type is the hottest? Which is the coolest? What is meant by luminosity class? What are the three basic types of binary stars?arrow_forwardHigh Mass Stars Problem 4. Black Holes The Schwarzschild radius determines the event horizon of a black hole. Construct the equation defining this radius using the fact that the escape velocity at this radius is c (the speed of light). Use M for the black hole mass and RS for the Schwarzchild radius. (Do not simply write down the equation, show and explain the logical steps of your construction and algebra)arrow_forward2. How much mass would a black hole contain if it has an event horizon equal in size to an average sized tennis ball? Express your first answer, using scientific (powers of ten) notation, in kg and also express the same answer in "Earth masses." answer: Mo = kg = × MẸarrow_forward
- a. Describe three of the six possible scenarios for the fate of the universe. For each case, describe: • what conditions will be like • the curvature of the universe • which term (gravity, expansion, or dark energy) in the Friedman equation would dominate. b. Observationally, what scenario best describes our universe? Explain.arrow_forwardAstronomers are always seeking to build bigger, more powerful telescopes, which will allow them to study faint galaxies that are very far away. Which of the following is the main reason they're so obsessed with studying very distant galaxies? Group of answer choices Light traveled much faster during the early history of the universe, so we can study how the speed of light has changed through time. Very distant galaxies are more likely to contain planets than the Milky Way is, so we have a better chance of detecting life in those galaxies than we do in our own galaxy. Since the light from these galaxies took so long to reach us, we're seeing them as they were when the universe was very young. Strangely, distant galaxies are more like our Milky Way than the Milky Way's `neighbor' galaxies are, and astronomers would like to figure out why this is.arrow_forwardThe first clue that the Galaxy contains a lot of dark matter was the observation that the orbital velocities of stars did not decreases with increasing distance from the center of the Galaxy. Construct a rotation curve for the solar system by using the orbital velocities of the planets, which can be found in Appendix F. How does this curve differ from the rotation curve for the Galaxy? What does it tell you about where most of the mass in the solar system is concentrated?arrow_forward
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