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?

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Universal Gravitation

Section: Chapter Questions

Problem 13.5P: Two ocean liners, each with a mass of 40 000 metric tons, are moving on parallel courses 100 m...

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Astronomical observatrions of our Milky Way galaxy indicate that it has a mass of about 8.01011 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 years instead, what is the mass of the galaxy? Such calculations are used to imply the existence of other matter, such as a very massive black hole at the center of the Milky Way.
Integrated Concepts Space debris left from old satellites and their launchers is becoming a hazard to other satellites. (a) Calculate the speed of a satellite in an orbit 900 km above Earth's surface. (b) Suppose a loose rivet is in an orbit of the same radius that intersects the satellite's orbit at an angle of 90° relative to Earth. What is the velocity of the rivet relative to the satellite just before striking it? (c) Given the rivet is 3.00 mm in size, how long will its collision with the satellite last? (d) If its mass is 0.500 g, what is the average force it exerts on the satellite? (e) How much energy in joules is generated by the collision? (The satellite's velocity does not change appreciably, because its mass is much greater than the rivet's.)
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.
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.
Two ocean liners, each with a mass of 40 000 metric tons, are moving on parallel courses 100 m apart. What is the magnitude of the acceleration of one of the liners toward the other due to their mutual gravitational attraction? Model the ships as particles.
Unreasonable Result A mountain 10.0 km from a person exerts a gravitational force on him equal to 2.00% of his weight. (a) Calculate the mass of the mountain. (b) Compare the mountain's mass with that of Earth. (c) What is unreasonable about these results? (d) Which premises are unreasonable or inconsistent? (Note that accurate gravitational measurements can easily detect the effect of nearby mountains and variations in local geology.)
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?
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