College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 7.5, Problem 7.9QQ
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.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
(a) Calculate the magnitude of the gravitational force exerted by the Moon on a 60 kg human standing on the surface of the
Moon. (The mass of the Moon is 7.4×1022 kg and its radius is 1.7x106 m.)
N
(b) Calculate the magnitude of the gravitational force exerted by the human on the Moon.
N
(c) For comparison, calculate the approximate magnitude of the gravitational force of this human on a similar human who is
standing 3 meters away.
N
(d) What approximations or simplifying assumptions must you make in these calculations? (Note: Some of these choices are false
because they are wrong physics!)
O Use the same gravitational constant in (a) and (b) despite its dependence on the size of the masses.
| Ignore the effects of the Sun, which alters the gravitational force that one object exerts on another.
O Treat the humans as though they were points or uniform-density spheres.
Treat the Moon as though it were spherically symmetric.
Planet A has a mass of mA = 1.50 × 1024 kg and planet B has a mass of mB = 2.40 × 1023 kg. The planets are a distance d = 1.50 × 108 km apart. Suppose your mass is 85.0 kg, and you are located exactly half way in between the two planets. Calculate the total gravitational force on your body due to the two planets.
Planet X has a radius of 6.00×10^7 m and an unknown mass. When a woman of mass 65.0 kg weighs herself on a platform which is a distance of 1.50×10^7 m above the surface of this planet, the scale reads 1200 N.
a) What is the mass of Planet X?
b) What is the gravitational field (g value) on the surface of planet x?
Chapter 7 Solutions
College Physics
Ch. 7.1 - A rigid body is rotating counterclockwise about a...Ch. 7.1 - Suppose the change in angular position for each of...Ch. 7.2 - Consider again the pairs of angular positions for...Ch. 7.3 - Andrea and Chuck are riding on a merry-go-round....Ch. 7.3 - When the merry-go-round of Quick Quiz 7.4 is...Ch. 7.4 - A racetrack is constructed such that two arcs of...Ch. 7.4 - An object moves in a circular path with constant...Ch. 7.5 - A ball is falling toward the ground. Which of the...Ch. 7.5 - A planet has two moons with identical mass. Moon 1...Ch. 7.6 - Suppose an asteroid has a semimajor axis of 4 AU....
Ch. 7 - Math Review A circular track has a radius of 125...Ch. 7 - Math Review (a) Convert 47.0 to radians, using the...Ch. 7 - (a) Convert 12.0 rev/min to radians per second....Ch. 7 - A carnival carousel accelerates nonuniformly from...Ch. 7 - Prob. 5WUECh. 7 - A grindstone increases in angular speed uniformly...Ch. 7 - A bicyclist starting at rest produces a constant...Ch. 7 - A car of mass 1 230 kg travels along a circular...Ch. 7 - A man whirls a 0.20-kg piece of lead attached to...Ch. 7 - (a) Find the magnitude of the gravity force...Ch. 7 - What is the gravitational acceleration close to...Ch. 7 - Prob. 12WUECh. 7 - Prob. 13WUECh. 7 - Prob. 14WUECh. 7 - A comet has a period of 76.3 years and moves in an...Ch. 7 - In a race like the Indianapolis 500, a driver...Ch. 7 - If someone told you that astronauts are weightless...Ch. 7 - If a cars wheels are replaced with wheels of...Ch. 7 - At night, you are farther away from the Sun than...Ch. 7 - A pendulum consists of a small object called a bob...Ch. 7 - Because of Earths rotation about its axis, you...Ch. 7 - It has been suggested that rotating cylinders...Ch. 7 - Describe the path of a moving object in the event...Ch. 7 - A pail of water can be whirled in a vertical...Ch. 7 - Use Keplers second law to convince yourself that...Ch. 7 - Is it possible for a car to move in a circular...Ch. 7 - A child is practicing for a BMX race. His speed...Ch. 7 - An object executes circular motion with constant...Ch. 7 - Angular Speed and Angular Acceleration (a) Find...Ch. 7 - A wheel has a radius of 4.1 m. How far (path...Ch. 7 - The tires on a new compact car have a diameter of...Ch. 7 - A potters wheel moves uniformly from rest to an...Ch. 7 - A dentists drill starts from rest. After 3.20 s of...Ch. 7 - A centrifuge in a medical laboratory rotates at an...Ch. 7 - A machine part rotates at an angular speed of 0.06...Ch. 7 - A bicycle is turned upside down while its owner...Ch. 7 - The diameters of the main rotor and tail rotor of...Ch. 7 - The tub of a washer goes into its spin-dry cycle,...Ch. 7 - A car initially traveling at 29.0 m/s undergoes a...Ch. 7 - A 45.0-cm diameter disk rotates with a constant...Ch. 7 - A rotating wheel requires 3.00 s to rotate 37.0...Ch. 7 - An electric motor rotating a workshop grinding...Ch. 7 - A car initially traveling eastward turns north by...Ch. 7 - It has been suggested that rotating cylinders...Ch. 7 - (a) What is the tangential acceleration of a bug...Ch. 7 - An adventurous archeologist (m = 85.0 kg) tries to...Ch. 7 - One end of a cord is fixed and a small 0.500-kg...Ch. 7 - A coin rests 15.0 cm from the center of a...Ch. 7 - A 55.0-kg ice skater is moving at 4.00 m/s when...Ch. 7 - A 40.0-kg child swings in a swing supported by two...Ch. 7 - A certain light truck can go around a flat curve...Ch. 7 - A sample of blood is placed in a centrifuge of...Ch. 7 - A 50.0-kg child stands at the rim of a...Ch. 7 - A space habitat for a long space voyage consists...Ch. 7 - An air puck of mass m1 = 0.25 kg is tied to a...Ch. 7 - Prob. 28PCh. 7 - A woman places her briefcase on the backseat of...Ch. 7 - A pail of water is rotated in a vertical circle of...Ch. 7 - A 40.0-kg child takes a ride on a Ferris wheel...Ch. 7 - Prob. 32PCh. 7 - The average distance separating Earth and the Moon...Ch. 7 - A satellite has a mass of 100 kg and is Located at...Ch. 7 - A coordinate system (in meters) is constructed on...Ch. 7 - Prob. 36PCh. 7 - Objects with masses of 200. kg and 500. kg are...Ch. 7 - Use the data of Table 7.3 to find the point...Ch. 7 - Prob. 39PCh. 7 - Two objects attract each other with a...Ch. 7 - Prob. 41PCh. 7 - Prob. 42PCh. 7 - A satellite of Mars, called Phoebus, has an...Ch. 7 - Prob. 44PCh. 7 - Two satellites are in circular orbits around the...Ch. 7 - Additional Problems A synchronous satellite. which...Ch. 7 - (a) One of the moons of Jupiter, named Io, has an...Ch. 7 - Neutron stars are extremely dense objects that are...Ch. 7 - One method of pitching a softball is called the...Ch. 7 - A digital audio compact disc (CD) carries data...Ch. 7 - An athlete swings a 5.00-kg ball horizontally on...Ch. 7 - A car rounds a banked curve where the radius of...Ch. 7 - Prob. 53APCh. 7 - A 0.400-kg pendulum bob passes through the lowest...Ch. 7 - A car moves at speed v across a bridge made in the...Ch. 7 - Prob. 56APCh. 7 - Because of Earths rotation about its axis, a point...Ch. 7 - Prob. 58APCh. 7 - In Robert Heinleins The Moon Is a Harsh Mistress,...Ch. 7 - A roller coaster travels in a circular path, (a)...Ch. 7 - In a home laundry dryer, a cylindrical tub...Ch. 7 - A model airplane of mass 0.750 kg flies with a...Ch. 7 - A skier starts at rest at the top of a large...Ch. 7 - Casting of molten metal is important in many...Ch. 7 - Suppose a 1 800-kg car passes over a bump in a...Ch. 7 - A stuntman whose mass is 70 kg swings from the end...Ch. 7 - Prob. 67APCh. 7 - The pilot of an airplane executes a constant-speed...Ch. 7 - A piece of mud is initially at point A on the rim...Ch. 7 - A 0.275-kg object is swung in a vertical circular...Ch. 7 - A 4.0-kg object is attached to a vertical rod by...Ch. 7 - The maximum lift force on a bat is proportional to...Ch. 7 - (a) A luggage carousel at an airport has the form...Ch. 7 - A 0.50-kg ball that is tied to the end of a 1.5-m...Ch. 7 - In a popular amusement park ride, a rotating...Ch. 7 - A massless spring of constant k = 78.4 N/m is...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Whether two metal foil leaves an electroscope get opposite charge when the electroscope is charged.
Physics of Everyday Phenomena
GO You testify as an expert witness in a case involving an accident in which car A slid into the rear of car B,...
Fundamentals of Physics Extended
Why doesnt Earths rotation provide a suitable time standard?
Essential University Physics (3rd Edition)
What is the maximum magnetic intensity in a plane electromagnetic wave whose maximum electric intensity is 100 ...
Introduction To Health Physics
The net force between the thymine and adenine.
Physics: Principles with Applications
The validity of a scientific law.
The Physical Universe
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_forwardThe Sun has a mass of approximately 1.99 1030 kg. a. Given that the Earth is on average about 1.50 1011 m from the Sun, what is the magnitude of the Suns gravitational field at this distance? b. Sketch the magnitude of the gravitational field due to the Sun as a function of distance from the Sun. Indicate the Earths position on your graph. Assume the radius of the Sun is 7.00 108 m and begin the graph there. c. Given that the mass of the Earth is 5.97 1024 kg, what is the magnitude of the gravitational force on the Earth due to the Sun?arrow_forwardCalculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?arrow_forward
- The mass of the Earth is approximately 5.98 1024 kg, and the mass of the Moon is approximately 7.35 1022 kg. The Moon and the Earth are separated by about 3.84 108 m. a. What is the magnitude of the gravitational force that the Moon exerts on the Earth? b. If Serena is on the Moon and her mass is 25 kg, what is the magnitude of the gravitational force on Serena due to the Moon? The radius of the Moon is approximately 1.74 106 m.arrow_forwardA 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_forward(a) Find the magnitude of the gravitational force between a planet with mass 7.50 1024 kg and its moon, with mass 2.70 1022 kg, if the average distance between their centers is 2.80 108 m. (b) What is the acceleration of the moon towards the planet? (c) What is the acceleration of the planet towards the moon?arrow_forward
- Let gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)arrow_forwardFor many years, astronomer Percival Lowell searched for a Planet X that might explain some of the perturbations observed in the orbit of Uranus. These perturbations were later explained when the masses of the outer planets and planetoids, particularly Neptune, became better measured (Voyager 2). At the time, however, Lowell had proposed the existence of a Planet X that orbited the Sun with a mean distance of 43 AU. With what period would this Planet X orbit the Sun?arrow_forwardWhat is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?arrow_forward
- A system consists of five particles. How many terms appear in the expression for the total gravitational potential energy of the system? (a) 4 (b) 5 (c) 10 (d) 20 (e) 25arrow_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_forwardSaturns 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
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Gravitational Force (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=pxp1Z91S5uQ;License: Standard YouTube License, CC-BY