University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 13, Problem 13.48P
At a certain instant, the earth, the moon, and a stationary 1250-kg spacecraft lie at the vertices of an equilateral triangle whose sides are 3.84 × 105 km in length, (a) Find the magnitude and direction of the net gravitational force exerted on the spacecraft by the earth and moon. State the direction as an angle measured from a line connecting the earth and the spacecraft. In a sketch, show the earth, the moon, the spacecraft, and the force vector. (b) What is the minimum amount of work that you would have to do to move the spacecraft to a point far from the earth and moon? Ignore any gravitational effects due to the other planets or the sun.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
In this problem we are going to compare the strength of the gravitational interaction between the Moon and the Earth and the Sun and the Earth. We will do this by finding the gravitational field g due to the Moon or the Sun, which is the acceleration that the Earth would have if it were interacting with each of them. For reference, the Moon has a mass of 7.34 × 1022 kilograms and is located 3.84 × 105 kilometers away from the Earth. The Sun, meanwhile, has a mass of 1.99 × 1030 kilograms and is located 1.49 × 108 kilometers away from the Earth.
Calculate the magnitude of the gravitational field of the Sun at the location of Earth, in meters per square second.
gS =
Calculate the magnitude of the gravitational field of the moon at the location of Earth, in meters per square second.
gM =
Calculate the ratio of the gravitational field of the Sun to the gravitational field of the Moon, at the location of…
A comet (see the figure below) approaches the Sun to within 0.570 AU, and its orbital period is 81.6 yr. (AU is the symbol for astronomical unit,
where 1 AU = 1.50 x 1011 m is the mean Earth-Sun distance.) How far from the Sun will the comet travel before it starts its return journey?
Sun
0.570 AU
2a
(Orbit is not drawn to scale.)
A spacecraft is on a journey to the moon. At what point, as measured from the center of the earth, does the gravitational force exerted on the spacecraft by the earth balance that exerted by the moon? This point lies on a line between the centers of the earth and the moon. The distance between the earth and the moon is 3.85 × 108 m, and the mass of the earth is 81.4 times as great as that of the moon.
Chapter 13 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 13.1 - The planet Saturn has about 100 times the mass of...Ch. 13.2 - Rank the following hypothetical planets in order...Ch. 13.3 - Prob. 13.3TYUCh. 13.4 - Prob. 13.4TYUCh. 13.5 - The orbit of Comet X has a semi-major axis that is...Ch. 13.6 - In the classic 1913 science-fiction novel At the...Ch. 13.7 - Imagine a planet that has the same mass and radius...Ch. 13.8 - If the sun somehow collapsed to form a black hole,...Ch. 13 - A student wrote: The only reason an apple falls...Ch. 13 - If all planets had the same average density, how...
Ch. 13 - Is a pound of butler on the earth the same amount...Ch. 13 - Example 13.2 (Section 13.1) shows that the...Ch. 13 - When will you attract the sun more: today at noon,...Ch. 13 - Since the moon is constantly attracted toward the...Ch. 13 - Prob. 13.7DQCh. 13 - A planet makes a circular orbit with period T...Ch. 13 - The sun pulls on the moon with a force that is...Ch. 13 - Which takes more fuel: a voyage from the earth to...Ch. 13 - Prob. 13.11DQCh. 13 - Does the escape speed for an object at the earths...Ch. 13 - If a projectile is fired straight up from the...Ch. 13 - Discuss whether this statement is correct: In the...Ch. 13 - The earth is closer to the sun in November than in...Ch. 13 - A communications firm wants to place a satellite...Ch. 13 - Prob. 13.17DQCh. 13 - What would Keplers third law be for circular...Ch. 13 - In the elliptical orbit of Comet Hailey shown in...Ch. 13 - Many people believe that orbiting astronauts feel...Ch. 13 - As part of their training before going into orbit,...Ch. 13 - What is the ratio of the gravitational pull of the...Ch. 13 - CP Cavendish Experiment. In the Cavendish balance...Ch. 13 - Rendezvous in Space! A couple of astronauts agree...Ch. 13 - Two uniform spheres, each with mass M and radius...Ch. 13 - Two uniform spheres, each of mass 0.260 kg, are...Ch. 13 - Find the magnitude and direction of the net...Ch. 13 - A typical adult human has a mass of about 70 kg....Ch. 13 - An 8.00-kg point mass and a 12.0-kg point mass are...Ch. 13 - Prob. 13.9ECh. 13 - The point masses m and 2m lie along the x-axis,...Ch. 13 - At what distance above the surface of the earth is...Ch. 13 - The mass of Venus is 81.5% that of the earth, and...Ch. 13 - Titania, the largest moon of the planet Uranus,...Ch. 13 - Rhea, one of Saturns moons, has a radius of 764 km...Ch. 13 - Calculate the earths gravity force on a 75-kg...Ch. 13 - Prob. 13.16ECh. 13 - Use the results of Example 13.5 (Section 13.3) to...Ch. 13 - Ten days after it was launched toward Mars in...Ch. 13 - A planet orbiting a distant star has radius 3.24 ...Ch. 13 - Prob. 13.20ECh. 13 - Prob. 13.21ECh. 13 - Aura Mission. On July 15, 2004, NASA launched the...Ch. 13 - Two satellites are in circular orbits around a...Ch. 13 - International Space Station. In its orbit each...Ch. 13 - Prob. 13.25ECh. 13 - Prob. 13.26ECh. 13 - The star Rho1 Cancri is 57 light-years from the...Ch. 13 - In March 2006. two small satellites were...Ch. 13 - The dwarf planet Pluto has an elliptical orbit...Ch. 13 - Hot Jupiters. In 2004 astronomers reported the...Ch. 13 - Planets Beyond the Solar System. On October 15,...Ch. 13 - A uniform, spherical, 1000.0-kg shell has a radius...Ch. 13 - A uniform, solid, 1000.0-kg sphere has a radius of...Ch. 13 - CALC A thin, uniform rod has length L and mass M....Ch. 13 - Prob. 13.35ECh. 13 - A Visit to Santa. You decide to visit Santa Claus...Ch. 13 - The acceleration due to gravity at the north pole...Ch. 13 - Mini Black Holes. Cosmologists have speculated...Ch. 13 - Prob. 13.39ECh. 13 - In 2005 astronomers announced the discovery of a...Ch. 13 - Neutron stars, such as the one at the center of...Ch. 13 - Four identical masses of 8.00 kg each are placed...Ch. 13 - Three uniform spheres are fixed at the positions...Ch. 13 - CP Exploring Europa. There is strong evidence that...Ch. 13 - A uniform sphere with mass 50.0 kg is held with...Ch. 13 - Mission to Titan. On December 25, 2004, the...Ch. 13 - Prob. 13.47PCh. 13 - At a certain instant, the earth, the moon, and a...Ch. 13 - Prob. 13.49PCh. 13 - CP Submarines on Europa. Some scientists are eager...Ch. 13 - What is the escape speed from a 300-km-diameter...Ch. 13 - A landing craft with mass 12,500 kg is in a...Ch. 13 - Planet X rotates in the same manner as the earth,...Ch. 13 - (a) Suppose you are at the earths equator and...Ch. 13 - CP An astronaut, whose mission is to go where no...Ch. 13 - CP Your starship, the Aimless Wanderer, lands on...Ch. 13 - CP You are exploring a distant planet. When your...Ch. 13 - The 0.100-kg sphere in Fig. P13.58 is released...Ch. 13 - An unmanned spacecraft is in a circular orbit...Ch. 13 - Mass of a Comet. On July 4, 2005, the NASA...Ch. 13 - Falling Hammer. A hammer with mass m is dropped...Ch. 13 - Prob. 13.62PCh. 13 - Prob. 13.63PCh. 13 - Prob. 13.64PCh. 13 - Prob. 13.65PCh. 13 - The planet Uranus has a radius of 25,360 km and a...Ch. 13 - Prob. 13.67PCh. 13 - A rocket with mass 5.00 103 kg is in a circular...Ch. 13 - A 5000-kg spacecraft is in a circular orbit 2000...Ch. 13 - Prob. 13.70PCh. 13 - CALC Planets are not uniform inside. Normally,...Ch. 13 - One of the brightest comets of the 20th century...Ch. 13 - CALC An object in the shape of a thin ring has...Ch. 13 - CALC A uniform wire with mass M and length L is...Ch. 13 - Prob. 13.75PCh. 13 - DATA For each of the eight planets Mercury to...Ch. 13 - DATA For a spherical planet with mass M, volume V,...Ch. 13 - DATA For a planet in our solar system, assume that...Ch. 13 - Interplanetary Navigation. The most efficient way...Ch. 13 - CP Tidal Forces near a Black Hole. An astronaut...Ch. 13 - CALC Mass M is distributed uniformly over a disk...Ch. 13 - EXOPLANETS. As planets with a wide variety of...Ch. 13 - EXOPLANETS. As planets with a wide variety of...Ch. 13 - EXOPLANETS. As planets with a wide variety of...
Additional Science Textbook Solutions
Find more solutions based on key concepts
All of the following terms can appropriately describe humans except: a. primary consumer b. autotroph c. hetero...
Human Biology: Concepts and Current Issues (8th Edition)
What is the difference between cellular respiration and external respiration?
Human Physiology: An Integrated Approach (8th Edition)
47. A block hangs in equilibrium from a vertical spring. When a second identical block is added, the original ...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Sketch the following spectra that would be obtained for 2-chloroethanol: a. The 1H NMR spectrum for an anhydrou...
Organic Chemistry (8th Edition)
1.1 Write a one-sentence definition for each of the following:
a. chemistry
b. chemical
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Explain all answers clearly, using complete sentence and proper essay structure if needed. An asterisk (*) desi...
Cosmic Perspective Fundamentals
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
- The 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_forwardLet 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_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
- 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_forwardSuppose 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_forward(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.arrow_forward
- A coordinate system (in meters) is constructed on the surface of a pool table, and three objects are placed on the table as follows: a m₁ = 1.3-kg object at the origin of the coordinate system, a m₂ = 2.4-kg object at (0, 2.0), and a m3 = 3.5-kg object at (4.0, 0). Find the resultant gravitational force exerted by the other two objects on the object at the origin. magnitude N direction Need Help? Read It above the +x-axisarrow_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 m1 = 1.4-kg object at the origin of the coordinate system, a m2 = 2.6-kg object at (0, 2.0), and a m3 = 3.8-kg object at (4.0, 0). Find the resultant gravitational force exerted by the other two objects on the object at the origin.arrow_forwardThe drawing shows three particles far away from any other objects and located on a straight line. The masses of these particles are ma -330 kg. ma- 520 kg, and mc-136 kg. Take the positive direction to be to the right. Find the net gravitational force, including sign, acting on (a) particle A, (b) particle B, and (c) particle C. (a) Number (b) Number (c) Number 0.500 m Units N Units N Units N B 0.250 marrow_forward
- Problem 2: Two small, spherical asteroids have masses m1 = 1.00 x 106 kg and m2. They are separated by a distance of d = 3.00 m. The first asteroid, m1 is 1.00 m from a rock. The rock has zero net gravitational force on it. The mass of the rock is not needed in the problem, but if you have trouble with this, assume the rock’s mass is 2.00 kg. Find m2. There are no other masses near these objects. Be sure to follow the problem-solving format: Given/Find, FBD, general equation in symbols, substitution, and Please help fast! Show me how you did it. I will upvote!arrow_forwardA spacecraft is on a journey to the moon. At what point, as measured from the center of the earth, does the gravitational force exerted on the spacecraft by the earth balance that exerted by the moon? This point lies on a line between the centers of the earth and the moon. The distance between the earth and the moon is 3.85 x 10 m, and the mass of the earth is 81.4 times as great as that of the moon. Number Units movearrow_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 m, = 1.9-kg object at the origin of the coordinate system, a m, = 3.3-kg object at (0, 2.0), and a m, = 5.3-kg object at (4.0, 0). Find the resultant gravitational force exerted by the other two objects on the object at the origin. magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. N direction 68.12 o above the +x-axisarrow_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 Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher: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
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Gravitational Force (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=pxp1Z91S5uQ;License: Standard YouTube License, CC-BY