MASTERPHYS:KNIGHT'S PHYSICS ACCESS+WKB
4th Edition
ISBN: 9780135245033
Author: Knight
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 13, Problem 57EAP
FIGURE P13.57 shows two planets of mass m orbiting a star of mass M. The planets are in the same orbit, with radius r, but are always at opposite ends of a diameter. Find an exact expression for the orbital period T .
Hint: Each planet feels two forces.
FIGURE P13.57
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The international space station is orbiting at an altitude of about 370km above the earth's surface. The mass of the earth is 5.976x10 ^ 24 kg and the radius of the earth is 6.378x10 ^ 6m. a) Assuming already circular orbit, what is the period of the orbit of the international space station? b) Assuming a circular orbit, what is the speed of the international space station in its orbit?
The mass of the Sun is MSun = 1.99 ✕ 1030 kg, the radius of the Sun is rSun = 6.96 ✕ 108 m, and G = 6.67 ✕ 10−11 N · m2/kg2. The acceleration of gravity on the surface of the Sun is 274. By what factor would your weight increase if you could stand on the Sun? (Never mind that you can't.)
1) On the surface of Venus, which has a mass of 4.869×1024 kg, an object has a weight of 213 N and a mass of 24 kg. What is the radius of Venus? G=6.674×10-11N.m2/kg2.2) What is the gravitational field (in N/kg) 1.400×105 km above the surface of the sun? Radius of the sun= 6.960×105 km, mass of the sun= 1.989×1030 kg, G= 6.674×10-11 N.m2/kg2.
3) Two spherical balls are placed so their centers are 74 m apart. The gravitational attraction between them is 2.362×10-7 N. If the mass of the smaller ball is 3800 kg, find the mass of the other ball.G= 6.674×10-11 N·m2/kg2.
Chapter 13 Solutions
MASTERPHYS:KNIGHT'S PHYSICS ACCESS+WKB
Ch. 13 - Prob. 1CQCh. 13 - The gravitational force of a star on orbiting...Ch. 13 - A 1000 kg satellite and a 2000 kg satellite follow...Ch. 13 - How far away from the earth must an orbiting...Ch. 13 - A space station astronaut is working outside the...Ch. 13 - The free-fall acceleration at the surface of...Ch. 13 - Why is the gravitational potential energy of two...Ch. 13 - The escape speed from Planet X is 10,000 m/s....Ch. 13 - The mass of Jupiter is 300 times the mass of the...Ch. 13 - Satellites in near-earth orbit experience a very...
Ch. 13 - What is the ratio of the surfs gravitational force...Ch. 13 - What is the ratio of the sun’s gravitational force...Ch. 13 - The centers of a 10 kg lead ball and a 100 g lead...Ch. 13 - What is the force of attraction between a 50 kg...Ch. 13 - The International Space Station orbits 300 km...Ch. 13 - Two 65 kg astronauts leave earth in a spacecraft,...Ch. 13 - A 20 kg sphere is at the origin and a 10kg sphere...Ch. 13 - a. What is the free-fall acceleration at the...Ch. 13 - What is the free-fall acceleration at the surface...Ch. 13 - A sensitive gravimeter at a mountain observatory...Ch. 13 - Saturn’s moon Titan has a mass of 1.351023 kg and...Ch. 13 - A newly discovered planet has a radius twice as...Ch. 13 - Suppose we could shrink the earth without changing...Ch. 13 - Planet Z is 10.000 km in diameter. The free-fall...Ch. 13 - An astronaut on earth can throw a ball straight up...Ch. 13 - What is the escape speed from Jupiter?Ch. 13 - A rocket is launched straight up from the earth’s...Ch. 13 - A space station orbits the sun at the same...Ch. 13 - Prob. 19EAPCh. 13 - Nothing can escape the event horizon of a black...Ch. 13 - You have been visiting a distant planet. Your...Ch. 13 - Two meteoroids are heading for earth. Their speeds...Ch. 13 - A binary star system has to stars, each with the...Ch. 13 - The asteroid belt circles the sun between the...Ch. 13 - You are the science officer on a visit to a...Ch. 13 - Three satellites orbit a planet of radius R, as...Ch. 13 - A satellite orbits the sun with a period of 1.0...Ch. 13 - A new planet is discovered orbiting the star Vega...Ch. 13 - Prob. 29EAPCh. 13 - An earth satellite moves in a circular orbit at a...Ch. 13 - What are the speed and altitude of a...Ch. 13 - a. At what height above the earth is the free-fall...Ch. 13 - Prob. 33EAPCh. 13 - Pluto moves in a fairly elliptical orbit around...Ch. 13 - FIGURE P13.35 shows three masses. What are the...Ch. 13 - What are the magnitude and direction of the net...Ch. 13 - Prob. 37EAPCh. 13 - What is the total gravitational potential energy...Ch. 13 - Two spherical objects have a combined mass of 150...Ch. 13 - Two 100 kg lead spheres are suspended from...Ch. 13 - Prob. 41EAPCh. 13 - An object of mass m is dropped from height h above...Ch. 13 - A projectile is shot straight up from the earth’s...Ch. 13 - Prob. 44EAPCh. 13 - 45. An astronaut circling the earth at an altitude...Ch. 13 - Suppose that on earth you can jump straight up a...Ch. 13 - Prob. 47EAPCh. 13 - Two spherical asteroids have the same radius R....Ch. 13 - A starship is circling a distant planet of radius...Ch. 13 - The two stars in a binary star system have masses...Ch. 13 - A 4000 kg lunar lander is in orbit 50 km above the...Ch. 13 - The 75,000 kg space shuttle used to fly in a...Ch. 13 - How much energy would be required to move the...Ch. 13 - NASA would like to place a satellite in orbit...Ch. 13 - In 2014, the European Space Agency placed a...Ch. 13 - A satellite orbiting the earth is directly over a...Ch. 13 - FIGURE P13.57 shows two planets of mass m orbiting...Ch. 13 - Figure 13.17 showed a graph of log T versus log r...Ch. 13 - Large stars can explode as they finish burning...Ch. 13 - The solar system is 25,000 light years from the...Ch. 13 - Three stars, each with the mass of our sun, form...Ch. 13 - Comets move around the sun in very elliptical...Ch. 13 - A 55,000 kg space capsule is in a...Ch. 13 - Prob. 64EAPCh. 13 - Prob. 65EAPCh. 13 - Prob. 66EAPCh. 13 - Two Jupiter size planets are released from rest...Ch. 13 - A satellite in a circular orbit of radius r has...Ch. 13 - While visiting Planet Physics. you toss a rock...Ch. 13 - A moon lander is orbiting the moon at an altitude...Ch. 13 - Let’s look in more detail at how a satellite is...Ch. 13 - FIGURE CP13.72 shows a particle of mass m at...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Suppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2arrow_forwardA 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?arrow_forward(a) Given that the period of the Moons orbit about the Earth is 27.32 days and the nearly constant distance between the center of the Earth and the center of the Moon is 3.84 108 m, use Equation 13.11 to calculate the mass of the Earth. (b) Why is the value you calculate a bit too large?arrow_forward
- Saturns ring system forms a relatively thin, circular disk in the equatorial plane of the planet. The inner radius of the ring system is approximately 92,000 km from the center of the planet, and the outer edge is about 137,000 km from the center of the planet. The mass of Saturn itself is 5.68 1026 kg. a. What is the period of a particle in the outer edge compared with the period of a particle in the inner edge? b. How long does it take a particle in the inner edge to move once around Saturn? c. While this inner-edge particle is completing one orbit abound Saturn, how far around Saturn does a particle on the outer edge move?arrow_forward(a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77 days. Assuming the orbit is circular, calculate the mass of Jupiter, (b) The largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 109 m and a period of 7.16 days. Calculate the mass of Jupiter from this data, (c) Are your results to parts (a) and (b) consistent? Explain.arrow_forwardModel the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest distance (apogee) from the center of the Earth is rA = 4.05 108 m, and its closest distance (perigee) is rP = 3.63 108 m. a. Calculate the semimajor axis of the Moons orbit. b. How far is the Earth from the center of the Moons elliptical orbit? c. Use a scale such as 1 cm 108 m to sketch the EarthMoon system at apogee and at perigee and the Moons orbit. (The semiminor axis of the Moons orbit is roughly b = 3.84 108 m.)arrow_forward
- What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?arrow_forwardSince March 2006, NASAs Mars Reconnaissance Orbiter (MRO) has been in a circular orbit at an altitude of 316 km around Mars (Fig. P6.81). The acceleration due to gravity on the surface of the planet Mars is 0.376g, and its radius is 3.40 103 km. Assume the acceleration due to gravity at the satellite is the same as on the planets surface. a. What is MROs orbital speed? B. What is the period of the spacecrafts orbit? FIGURE P6.81arrow_forwardPlanetary orbits are often approximated as uniform circular motion. Figure P7.9 is a scaled representation of a planets orbit with a semimajor axis of 1.524 AU. a. Use Figure P7.9 to find the ratio of the Suns maximum gravitational field to its minimum gravitational field on the planets orbit. b. What is the ratio of the planets maximum speed to its minimum speed? c. Comment on the validity of approximating this orbit as uniform circular motion.arrow_forward
- A spacecraft in the shape of a long cylinder has a length of 100 m, and its mass with occupants is 1 000 kg. Ii has strayed too close to a black hole having a mass 100 times that of the Sun (Fig. P11.11). The nose of the spacecraft points toward the black hole, and the distance between the nose and the center of the black hole is 10.0 km. (a) Determine the total force on the spacecraft. (b) What is the difference in the gravitational fields acting on the occupants in the nose of the ship and on those in the rear of the ship, farthest from the black hole? (This difference in accelerations grows rapidly as the ship approaches the black hole. It puts the body of the ship under extreme tension and eventually tears it apart.)arrow_forwardAstronomical 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.arrow_forwardCalculate the acceleration of gravity on the surface of the Sun. The mass of the Sun is MSun = 1.99 ✕ 1030 kg, the radius of the Sun is rSun = 6.96 ✕ 108 m, and G = 6.67 ✕ 10−11 N · m2/kg2.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY