3 Binary Star System Astronomers discover a binary star system with a period of 90 days, separated by a distance d. Both stars have a mass M that is twice that of the Sun. Problem 3.1. Draw a diagram of the problem, showing the forces on the stars and their orbital motions. Problem 3.2. What is the equation for the gravitational force of Star 1 on Star 2 (Fion2) and the equation for the force of Star 2 on Star 1 (F20n1), with respect to their orbital radius r?

3 Binary Star System Astronomers discover a binary star system with a period of 90 days, separated by a distance d. Both stars have a mass M that is twice that of the Sun. Problem 3.1. Draw a diagram of the problem, showing the forces on the stars and their orbital motions. Problem 3.2. What is the equation for the gravitational force of Star 1 on Star 2 (Fion2) and the equation for the force of Star 2 on Star 1 (F20n1), with respect to their orbital radius r?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter13: Gravitation

Section: Chapter Questions

Problem 42P: Astronomical observatrions of our Milky Way galaxy indicate that it has a mass of about 8.01011...

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Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.1011 solar masses. A star orbiting on the galaxy's periphery is about 6.0104 light years from its center. (a) What should the orbital period of that star be? (b) If its period is 6.0107 instead, what is the mass of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies.
A massive black hole is believed to exist at the center of our galaxy (and most other spiral galaxies). Since the 1990s, astronomers have been tracking the motions of several dozen stars in rapid motion around the center. Their motions give a clue to the size of this black hole. a. One of these stars is believed to be in an approximately circular orbit with a radius of about 1.50 103 AU and a period of approximately 30 yr. Use these numbers to determine the mass of the black hole around which this star is orbiting, b. What is the speed of this star, and how does it compare with the speed of the Earth in its orbit? How does it compare with the speed of light?
Unreasonable Results Suppose you wish to shoot supplies straight up to astronauts in an orbit 36,000 km above the surface of the Earth. (a) At what velocity must the supplies be launched? (b) What is unreasonable about this velocity? (c) Is there a problem with the relative velocity between the supplies and the astronauts when the supplies reach their maximum height? (d) Is the premise unreasonable or is the available equation inapplicable? Explain your answer.
(a) Using the information in the previous problem, what velocity do you need to escape the Milky Way galaxy from our present position? (b) Would you need to accelerate a spaceship to this speed relative to Earth?
(a) What is the approximate force of gravity on a 70kg person due to the Andromeda galaxy, assuming its total mass is 1013 than of our Sun and acts like a single mass 2 Mly away? (b) What is the ratio of this force to the person's weight? Note that Andromeda is the closest large galaxy.
In 2004 astronomers reported the discovery of a large Jupiter-sized planet orbiting very close to the star HD 179949 (hence the term "hot Jupiter"). The orbit was just 1/9 the distance of Mercury from our Sun, and it takes the planet only 3.09 days to make one orbit (assumed to be circular). a. What is the mass of the star? Express your answer in kilograms and as a multiple of our Sun's mass. b. How fast (in km/s) is this planet moving?
Binary Star SystemAstronomers discover a binary star system with a period of 90 days, separated by a distanced. Both stars have a mass M that is twice that of the Sun.Problem 3.1. Draw a diagram of the problem, showing the forces on the stars and theirorbital motions.Problem 3.2. What is the equation for the gravitational force of Star 1 on Star 2 (F1on2)and the equation for the force of Star 2 on Star 1 (F2on1), with respect to their orbital radiusr?
A rogue black hole with a mass 17 times that of the sun is 250 earth radii from the center of the earth.
5. Each of these objects has a total mass M. Write an expression for the mass of each of thefollowing:a. An increment of length dx of a uniform bar of length L.b. A ring of radius r and thickness dr in a uniform disk of radius R.c. A spherical shell of radius r and thickness dr in a uniform sphere of radius R.
B4
How would you solve this problem?? Thank you so much!!!
100% E toSave OFF 251 Test 2 Study Problems SP20 ans -Saved to my Mac t Draw Design Layout References Mailings Review View 12.Space Squirrel Scratt finds himself at a radius of 5 x 10° m from the center of a Giant star (mass 2.1 x 1030 kilograms and radius 110 ×106 m. a) What is the period of Scratt's toasty circular orbit? b) The giant star suddenly goes supernova and forms a neutron star. Its mass remains the same but its new radius is 1.0 x 101 m. What is the new period of Scratt's orbit of constant radius? c) As ever the question is "Will Scratt get back his acorn?" The collapsed neutron star rotates at a rate of 300 times PER SECOND! Is gravity alone able to keep the acorn on the surface at the equator, or will it reunite with Scratt? NOTE: There are many, many wąays that Scratt would be vaporized in this process, but isn't it fun to use imagination in cartoons anyway?