Concept explainers
Approaching the ISS A Russian Soyuz module, with three astronauts and a full load of cargo, has a mass of 7500 kg. The International Space Station (ISS) has a mass of 420,000 kg. When Soyuz docks at the ISS, the two centers of mass are separated by 9.5 m. (a) Find the average of the gravitational force of attraction between the two spacecraft when Soyuz is docked and when it is 110 m from the ISS. (b) If Soyuz approached the ISS from rest at a distance of 110 m, a thruster would have to counteract the average force of gravitational attraction between it and the ISS. If this thruster has an exhaust velocity of 590 m/s, at what average rate must it burn fuel (in kg/s) to counteract the pull of the ISS? (See Section 9-8 for a discussion of thrust.) (c) If the approach requires 330 s, how much fuel will the thruster burn in order to counteract the gravitational attraction?
Want to see the full answer?
Check out a sample textbook solutionChapter 12 Solutions
Physics (5th Edition)
Additional Science Textbook Solutions
Life in the Universe (4th Edition)
Lecture- Tutorials for Introductory Astronomy
The Cosmic Perspective (8th Edition)
Essential University Physics: Volume 2 (3rd Edition)
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
- A satellite of mass 16.7 kg in geosynchronous orbit at an altitude of 3.58 104 km above the Earths surface remains above the same spot on the Earth. Assume its orbit is circular. Find the magnitude of the gravitational force exerted by the Earth on the satellite. Hint: The answer is not 163 N.arrow_forwardA point mass m is located a distance D from the nearest end of a thin rod of mass M and length L along the axis of the rod. Find the gravitational force exerted on the point mass by the rod.arrow_forwardIf a spacecraft is headed for the outer solar system, it may require several gravitational slingshots with planets in the inner solar system. If a spacecraft undergoes a head-on slingshot with Venus as in Example 11.6, find the spacecrafts change in speed vS. Hint: Venuss orbital period is 1.94 107 s, and its average distance from the Sun is 1.08 1011 m.arrow_forward
- How far from the center of the Sun would the net gravitational force of Earth and the Sun on a spaceship be zero?arrow_forwardA planet has two moons with identical mass. Moon 1 is in a circular orbit of radius r. Moon 2 is in a circular orbit of radius 2r. The magnitude of the gravitational force exerted by the planet on Moon 2 is (a) four times as large (b) twice as large (c) the same (d) half as large (e) one-fourth as large as the gravitational force exerted by the planet on Moon 1.arrow_forwardA geosynchronous Earth satellite is one that has an orbital period of precisely 1 day. Such orbits are sueful for communication and weather observation because the satellite remains above the same point on Earth (provided it orbits in the equatorial plane in the same direction as Earth’s rotation). Calculate the radius of such an orbit based on the data for Earth in Appendis D.arrow_forward
- A planet has two moons with identical mass. Moon 1 is in a circular orbit of radius r. Moon 2 is in a circular orbit of radius 2r. The magnitude of the gravitational force exerted by the planet on Moon 2 is (a) four times as large (b) twice as large (c) the same (d) half as large (e) one-fourth as large as the gravitational force exerted by the planet on Moon 1.arrow_forwardThe gravitational force exerted on an astronaut on the Earths surface is 650 N directed downward. When she is in the space station in orbit around the Earth, is the gravitational force on her (a) larger, (b) exactly the same, (c) smaller, (d) nearly but not exactly zero, or (e) exactly zero?arrow_forwardA 200-kg object and a 500-kg object are separated by 4.00 m. (a) Find the net gravitational force exerted by these objects on a 50.0-kg object placed midway between them. (b) At what position (other than an infinitely remote one) can the 50.0-kg object be placed so as to experience a net force of zero from the other two objects?arrow_forward
- A 225-kg object and a 525-kg object are separated by 3.90 m. (a) Find the magnitude of the net gravitational force exerted by these objects on a 45.0-kg object placed midway between them. 2.37e-7N(b) At what position (other than an infinitely remote one) can the 45.0-kg object be placed so as to experience a net force of zero from the other two objects? ????? m from the 525 kg mass toward the 225 kg mass Is part (a) correct? If not, what is the correct answer? Please, NO handwritten and photoed solutions Please include all formulas used to solve this problem. Please DO NOT put random symbols in equations without an explaination of what the symbols represent.arrow_forwardA coordinate system (in meters) is constructed on the surface of a pool table, and three objects are placed on the table as follows: a 9.0-kg object at the origin of the coordinate system, a 18.0-kg object at (0, 2.0), and a 23.0-kg object at (4.0, 0). Find the resultant gravitational force exerted by the other two objects on the object at the origin. -_______________ N - _______________ (Degrees)arrow_forwardA 225-kg object and a 525-kg object are separated by 3.90 m. (a) Find the magnitude of the net gravitational force exerted by these objects on a 45.0-kg object placed midway between them.2.37e-7 N(b) At what position (other than an infinitely remote one) can the 45.0-kg object be placed so as to experience a net force of zero from the other two objects? ????? m from the 525 kg mass toward the 225 kg massThe force due to the larger mass will be greater than the force due to the smaller mass when the distances are equal. Do you expect the object to be closer to the large mass when the forces are equal? m from the 525 kg mass toward the 225 kg mass The correct answer is NEITHER 1.35m nor 2.55marrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning