University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Chapter 13, Problem 13.11CYU
Check Your Understanding Consider the density required to make Earth a black hole compared to that required for the Sun. What conclusion can you draw from this comparison abut what would be required to create a black hole? Would you expect the Universe to have many black holes with small mass?
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Chapter 13 Solutions
University Physics Volume 1
Ch. 13 - Check Your Understanding What happens to force and...Ch. 13 - Check Your Understanding How does your weight at...Ch. 13 - Check Your Understanding Why not use the simpler...Ch. 13 - Check Your Understanding If we send a probe out of...Ch. 13 - Check Your Understanding Assume you are in a...Ch. 13 - Check Your Understanding By what factor must the...Ch. 13 - Check Your Understanding There is another...Ch. 13 - Check Your Understanding Galaxies are not single...Ch. 13 - Check Your Understanding The nearly circular orbit...Ch. 13 - Check Your Understanding Earth exerts a tidal...
Ch. 13 - Check Your Understanding Consider the density...Ch. 13 - Action at a distance, such as is the case for...Ch. 13 - In the law of universal gravitation, Newton...Ch. 13 - Must engineers take Earth’s rotation into account...Ch. 13 - It was stated that a satellite with negative total...Ch. 13 - It was shown that the energy required to lift a...Ch. 13 - One student argues that a satellite in orbit is in...Ch. 13 - Many satellites are placed in geosynchronous...Ch. 13 - Are Kepler’s laws purely descriptive, or do they...Ch. 13 - In the diagram below for a satellite in an...Ch. 13 - As an object falls into a black hole, tidal forces...Ch. 13 - The principle of equivalence states that all...Ch. 13 - As a person approaches the Schwarzschild radius fo...Ch. 13 - Evaluate the magnitude of gravitational force...Ch. 13 - Estimate the gravitational force between two sumo...Ch. 13 - Astrology makes much of the position of the...Ch. 13 - A mountain 10.0 km from a person exerts a...Ch. 13 - The International Space Station has a mass of...Ch. 13 - Asteroid Toutatis passed near Earth in 2006 at...Ch. 13 - (a) What was the acceleration of Earth caused by...Ch. 13 - (a) Calculate Earth’s mass given the acceleratioln...Ch. 13 - (a) What is the acceleration due to gravity on the...Ch. 13 - (a) Calculate the acceleration due to gravity on...Ch. 13 - The mass of a particle is 15 kg. (a) What is its...Ch. 13 - On a planet whose radius is 1.2107m , the...Ch. 13 - The mean diameter of the planet Saturn is 1.2108m...Ch. 13 - The mean diameter of the planet Mercury is...Ch. 13 - The acceleration due to gravity on the surface of...Ch. 13 - A body on the surface of a planet with the same...Ch. 13 - Find the escape speed of a projectile from the...Ch. 13 - Find the escape speed of a projectile from the...Ch. 13 - What is the escape speed of a satellite located at...Ch. 13 - (a) Evaluate the gravitational potential energy...Ch. 13 - An average-sized asteroid located 5.0107km from...Ch. 13 - (a) What will be the kinetic energy of the...Ch. 13 - (a) What is the change in energy of a 1000-kg...Ch. 13 - If a planet with 1.5 times the mass of Earth was...Ch. 13 - Two planets in circular orbits around a star have...Ch. 13 - Using the average distance of Earth from the Sun,...Ch. 13 - What is the orbital radius of an Earth satellite...Ch. 13 - Calculate the mass of the Sun based on data for...Ch. 13 - Find the mass of Jupiter based on the fact that I0...Ch. 13 - Astronomical observatrions of our Milky Way galaxy...Ch. 13 - (a) In order to keep a small satellite from...Ch. 13 - The Moon and Earth rotate about their common...Ch. 13 - The Sun orbits the Milky Way galaxy once each...Ch. 13 - A geosynchronous Earth satellite is one that has...Ch. 13 - Calculate the mass of the Sun based on data for...Ch. 13 - I0 orbits Jupiter with an average radius of...Ch. 13 - The “mean” orbital radius listed for astronomical...Ch. 13 - The perihelion of Halley’s comet is 0.586 AU and...Ch. 13 - The perihelion of the comet Legerkvist is 2.61 AU...Ch. 13 - What is the ratio of the speed at perihelion to...Ch. 13 - Eros has an elliptical orbit about the Sun, with a...Ch. 13 - What is the difference between the force on a...Ch. 13 - If the Sun were to collapse into a black hole, the...Ch. 13 - Consider Figure 13.23 in Tidal Forces. This...Ch. 13 - What is the Schwarzschild radius for the black...Ch. 13 - What would be the Schwarzschild radius, in light...Ch. 13 - A neutron star is a cold, collapsed star with...Ch. 13 - (a) How far from the center of Earth would the net...Ch. 13 - How far from the center of the Sun would the net...Ch. 13 - Calculate the values of g at Earth’s surface for...Ch. 13 - Suppose you can communicate with the inhabitants...Ch. 13 - (a) Suppose that your measured weight at the...Ch. 13 - A body of mass 100 kg is weighed at the North Pole...Ch. 13 - Find the speed needed to escape from the solar...Ch. 13 - Consider the previous problem and include the fact...Ch. 13 - A comet is observed 1.50 AU from the Sun with a...Ch. 13 - An asteroid has speed 15.5km/s when it is located...Ch. 13 - Space debris left from old satellites and their...Ch. 13 - A satellite of mass 1000 kg is in circular orbit...Ch. 13 - After Cares was promoted to a dwarf planet, we now...Ch. 13 - (a) Using the data in the previous problem for the...Ch. 13 - What is the orbital velocity of our solar system...Ch. 13 - (a) Using the information in the previous problem,...Ch. 13 - Circular orbits in Equation 13.10 for conic...Ch. 13 - Show that for eccentricity equal to one in...Ch. 13 - Using the technique shown in Satellite Orbits and...Ch. 13 - Given the perihelion distance, p , and aphelion...Ch. 13 - Comet P/1999 R1 has a perihelion of 0.0570 AU and...Ch. 13 - A tunnel is dug through the center of a perfectly...Ch. 13 - Following the technique used in Gravitation Near...Ch. 13 - Show that the areal velocity for a circular orbit...Ch. 13 - Show that the period of orbit for two masses, m1...Ch. 13 - Show that for small changes in height h, such that...Ch. 13 - Using Figure 13.9, carefull sketch a free body...Ch. 13 - (a) Show that tidal force on a small object of...Ch. 13 - Find the Hohmann transfer velocities,...
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- Check Your Understanding Why not use the simpler expression U=mg(y2y1) ? How significant would the error be? (Recall the previous result, in Example 13.4, that the value g at 400 km above the Earth is 8.67m/s2 .)arrow_forwardA neutron star is a cold, collapsed star with nuclear density. A particular neutron star has a mass twice that of our Sun with a radius of 12.0 km. (a) What would be the weight of a 100-kg astronaut on standing on its surface? (b) What does this tell us about landing on a neutron star?arrow_forwardCheck Your Understanding Galaxies are not single objects. How does the gravitiational force of one galaxy exerted on the “closer” stars of the other galaxy compare to those farther away? What effect would this have on the shape of the galaxies themselves?arrow_forward
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- A binary star system consists of two stars that revolve about their centre of mass in circularorbits. Suppose that the system is observed edge on. Because of Doppler shift the spectral linesfrom the two stars (known as a spectroscopic binary system) are observed to shift periodicallyabout a mean to shorter and longer wavelengths as each star moves towards or away from theobserver. a) Explain how the orbital period Porb and components of velocity along the line of sight v0,1and v0,2, for each star, can be found from the observed spectral lines.b) Explain how the velocities of the two stars, v1 and v2, and the angular velocity of the starsω can be determined.arrow_forwardPlease accurately solve this problem, thank you.arrow_forwardBlack holes are difficult to observewith telescopes because they, bydefinition, don’t emit or reflect any light. They can be found by look-ing for other nearby objects orbit-ing them, however. Here is a dia-gram of a star in a circular orbit around a black hole. a. The period of the star’s orbit is 90 days, and its orbital radius around the black hole isobserved to be 3.6 : ×10^11 m. Find the orbital velocity of the star in units of m/s. (You need to convert 90 days to seconds, first). The circumference of a circle is 2πr. b. The mass of the star is known to be 4 × 10^30 kg. Find the centripetal acceleration of thestar and the strength of the gravitational force on the star. c. Find the mass of the black hole.arrow_forward
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