Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 44.4, Problem 1CE
What is the Schwarzschild radius for an object with 2 solar masses?
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How close, r, to the center of a neutron star would a manned satellite be orbiting if it were at the location where the gravitational force from the star equaled the gravitational force of the Earth's surface?
RN = neutron star radius = 1 × 104 kmM N = neutron star mass = 3 × 1030 kgG = universal gravitational constant = 6.67 × 10-11 N m2 / kg2g⊕ = Earth gravitational acceleration = 9.807 m/s²
What will be the Schwarzschild radius of Earth?
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 “The Sun is _____ times smaller/bigger than the black hole.”
Rsun=7x108 m
Rs=29.64km
Chapter 44 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 44.1 - Suppose we could place a huge mirror 1 light-year...Ch. 44.2 - Prob. 1BECh. 44.4 - What is the Schwarzschild radius for an object...Ch. 44.4 - A black hole has radius R. Its mass is...Ch. 44.9 - Prob. 1EECh. 44 - The Milky Way was once thought to be murky or...Ch. 44 - Prob. 2QCh. 44 - Prob. 3QCh. 44 - Prob. 4QCh. 44 - Prob. 5Q
Ch. 44 - Prob. 6QCh. 44 - Prob. 7QCh. 44 - Prob. 8QCh. 44 - Prob. 9QCh. 44 - Prob. 10QCh. 44 - Prob. 11QCh. 44 - Prob. 12QCh. 44 - Prob. 13QCh. 44 - Compare an explosion on Earth to the Big Bang....Ch. 44 - If nothing, not even light, escapes from a black...Ch. 44 - Prob. 16QCh. 44 - Prob. 17QCh. 44 - Explain what the 2.7-K cosmic microwave background...Ch. 44 - Prob. 19QCh. 44 - Prob. 20QCh. 44 - Prob. 21QCh. 44 - Under what circumstances would the universe...Ch. 44 - Prob. 23QCh. 44 - Prob. 24QCh. 44 - Prob. 1PCh. 44 - Prob. 2PCh. 44 - Prob. 3PCh. 44 - Prob. 4PCh. 44 - Prob. 5PCh. 44 - Prob. 6PCh. 44 - (II) What is the relative brightness of the Sun as...Ch. 44 - Prob. 8PCh. 44 - Prob. 9PCh. 44 - Prob. 10PCh. 44 - Prob. 11PCh. 44 - Prob. 12PCh. 44 - Prob. 13PCh. 44 - Prob. 14PCh. 44 - Prob. 15PCh. 44 - Prob. 16PCh. 44 - Prob. 17PCh. 44 - Prob. 18PCh. 44 - Prob. 19PCh. 44 - Prob. 20PCh. 44 - Prob. 21PCh. 44 - Prob. 22PCh. 44 - Prob. 23PCh. 44 - Prob. 24PCh. 44 - Prob. 25PCh. 44 - Prob. 26PCh. 44 - Prob. 27PCh. 44 - Prob. 28PCh. 44 - Prob. 29PCh. 44 - Prob. 30PCh. 44 - Prob. 31PCh. 44 - (II) Calculate the peak wavelength of the CMB at...Ch. 44 - Prob. 33PCh. 44 - (II) The scale factor or the universe (average...Ch. 44 - Prob. 35PCh. 44 - Prob. 36PCh. 44 - Prob. 37GPCh. 44 - Prob. 38GPCh. 44 - Prob. 39GPCh. 44 - Prob. 40GPCh. 44 - Prob. 41GPCh. 44 - Prob. 42GPCh. 44 - Prob. 43GPCh. 44 - Prob. 44GPCh. 44 - Prob. 45GPCh. 44 - Prob. 46GPCh. 44 - Prob. 47GPCh. 44 - Prob. 48GPCh. 44 - Prob. 49GPCh. 44 - Prob. 50GPCh. 44 - Calculate the Schwarzschild radius using a...Ch. 44 - How large would the Sun be if its density equaled...Ch. 44 - Prob. 53GPCh. 44 - (a) Use special relativity and Newtons law of...Ch. 44 - Prob. 55GPCh. 44 - Prob. 56GPCh. 44 - Prob. 57GPCh. 44 - Prob. 58GP
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- The Schwarzschild radius is the distance from an object at which the escape velocity is equal to the speed of light. A black hole is an object that is smaller than its Schwarzschild radius, so not even light itself can escape a black hole. The Schwarzschild radius r depends on the mass m of the black hole according to the equation (See image.) where G = 6.673 × 10-11 (Nm2)/(kg2) is the gravitational constant and c = 2.998 × 108 m/s is the speed of light. 1. Consider a black hole with a mass of 3.70 × 107M.. Use the given equation to find the Schwarzschild radius for this black hole. Remember that 1 M = 1.989 × 1030 kg and 1 N = 1 kg * m/s2 2. What is this radius in units of the solar radius? Remember that 1 R = 6.955 × 108 m.arrow_forwardCalculate the Schwarzschild radius of the Sun.arrow_forwardCalculate the Schwarzschild radius for Jupiter.arrow_forward
- Calculate the size of the Schwarzschild radius for the Sun. Choose the option below that most closely matches your answer. Select one: О а. 20 km O b. 1 km О с. 3m O d. 3 km О е. 10 kmarrow_forwardWhat would be the advantage of making parallax measurements from Pluto rather than from Earth? Would there be a disadvantage?arrow_forwardAs an object falls into a black hole, tidal forces increase. Will these tidal forces always tear the object apart as it approaches the Schwarzschild radius? How does the mass of the black hole and size of the object affect your answer?arrow_forward
- A gravitational dead zone is found between two hyper giant stars, HG A and HG B, 34 million km from HG A. It is known that the mass of B is 25 x the mass of A. Determine the distance between the two stars in millions of km.arrow_forwardIf the sun has a Schwarzschild radius, why isn't it a black hole?arrow_forwardAnalysis of the spectrum of a solar–mass star shows a periodic back-and-forth shift of its spectral lines with a period of 3 days. A spectral line centred at wavelength λ0 = 500 nm shows a shift ∆λ = ±2.5 × 10−4 nm. Estimate the mass of the unseen orbiting companion by assuming the angle of inclination i = 90◦, and express your answer in Jupiter masses.arrow_forward
- Calculate the Schwarzschild radius for a uranium-238 nucleus. (r = 7x10-¹5 m).arrow_forwardThe radius of a typical white dwarf star is a just a little larger than the radius of Earth, but a typical white dwarf has a mass that is similar to the Sun’s mass. Calculate the surface gravitational field strength of a white dwarf with a radius of 7 x 10^6 m and a mass of 1.2 x 10^30 kg. Compare this to the surface gravitational field strength of Earth.arrow_forwardWhat is the Schwarzschild radius (in km) of a 20 solar mass black hole?arrow_forward
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