Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Question
Chapter 12, Problem 39PCE
(a)
To determine
The total gravitational potential energy of the system.
(b)
To determine
The change in the gravitational potential energy of the system with two times increase in masses of the system.
(c)
To determine
The value of total potential energy of the system, with change in sides of rectangle to half.
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Check out a sample textbook solutionChapter 12 Solutions
Physics (5th Edition)
Ch. 12.1 - Rank the four systems shown in Figure 12-6 in...Ch. 12.2 - Suppose the Sun suddenly collapsed to half its...Ch. 12.3 - Satellite A orbits the Earth at the radius r,...Ch. 12.4 - Prob. 4EYUCh. 12.5 - Prob. 5EYUCh. 12.6 - If the radius of the Moons orbit around the Earth...Ch. 12 - It is often said that astronauts in orbit...Ch. 12 - When a person passes you on the street, you do not...Ch. 12 - Imagine bringing the tips of your index fingers...Ch. 12 - Does the radius vector of Mars sweep out the same...
Ch. 12 - When a communications satellite is placed in a...Ch. 12 - The Mass of Pluto On June 22, 1978, James Christy...Ch. 12 - Rockets are launched into space from Cape...Ch. 12 - One day in the future you may take a pleasure...Ch. 12 - Apollo astronauts orbiting the Moon at low...Ch. 12 - Prob. 10CQCh. 12 - The force exerted by the Sun on the Moon is more...Ch. 12 - Prob. 12CQCh. 12 - System A has masses m and m separated by a...Ch. 12 - A 6.3-kg bowling ball and a 7.1-kg bowling ball...Ch. 12 - A communications satellite with a mass of 520 kg...Ch. 12 - The Attraction of Ceres Ceres, the largest...Ch. 12 - In one hand you hold a 0.13-kg apple, in the other...Ch. 12 - Predict/Calculate A spaceship of mass m travels...Ch. 12 - At new moon, the Earth, Moon, and Sun are in a...Ch. 12 - When the Earth, Moon, and Sun form a right...Ch. 12 - Repeat the previous problem, this time finding the...Ch. 12 - Predict/Calculate Three 7.25-kg masses are at the...Ch. 12 - Predict/Calculate Four masses are positioned at...Ch. 12 - Suppose that three astronomical objects (1, 2, and...Ch. 12 - Find the acceleration due to gravity on the...Ch. 12 - At what altitude above the Earths surface is the...Ch. 12 - Two 6.4-kg bowling balls, each with a radius of...Ch. 12 - What is the acceleration due to Earths gravity at...Ch. 12 - Extrasolar Planet Gravity Kepler-62e is an...Ch. 12 - Predict/Calculate At a certain distance from the...Ch. 12 - The acceleration due to gravity on the Moons...Ch. 12 - Gravitational Tug of War At some point along the...Ch. 12 - Predict/Calculate An Extraterrestrial Volcano...Ch. 12 - Consider an asteroid with a radius of 19 km and a...Ch. 12 - Prob. 23PCECh. 12 - Predict/Explain The Earth-Moon Distance Is...Ch. 12 - Apollo Missions On Apollo missions to the Moon,...Ch. 12 - Prob. 26PCECh. 12 - An Extrasolar Planet In July of 1999 a planet was...Ch. 12 - Phobos, one of the moons of Mars, orbits at a...Ch. 12 - Predict/Calculate An Asteroid with Its Own Moon...Ch. 12 - GPS Satellites GPS (Global Positioning System)...Ch. 12 - Predict/Calculate Two satellites orbit the Earth,...Ch. 12 - Predict/Calculate Satellite A has a mass of 1000...Ch. 12 - Predict/Calculate The Martian moon Deimos has an...Ch. 12 - Predict/Calculate (a) Calculate the orbital period...Ch. 12 - Binary Stars Alpha Centauri A and Alpha Centauri B...Ch. 12 - Prob. 36PCECh. 12 - How much gravitational potential energy is...Ch. 12 - Predict/Explain (a) Is the amount of energy...Ch. 12 - Prob. 39PCECh. 12 - Calculate the gravitational potential energy of a...Ch. 12 - Prob. 41PCECh. 12 - Two 0.59-kg basketballs, each with a radius of 12...Ch. 12 - Find the minimum kinetic energy needed for a...Ch. 12 - Predict/Explain Suppose the Earth were to suddenly...Ch. 12 - Prob. 45PCECh. 12 - Prob. 46PCECh. 12 - Meteorites from Mars Several meteorites found in...Ch. 12 - What is the launch speed of a projectile that...Ch. 12 - A projectile launched vertically from the surface...Ch. 12 - Prob. 50PCECh. 12 - Predict/Calculate Halleys Comet Halleys comet,...Ch. 12 - The End of the Lunar Module On Apollo Moon...Ch. 12 - Prob. 53PCECh. 12 - Prob. 54PCECh. 12 - A projectile is launched vertically from the...Ch. 12 - Prob. 56PCECh. 12 - Predict/Calculate Two baseballs, each with a mass...Ch. 12 - On Earth, a person can jump vertically and rise to...Ch. 12 - The magnitude of the tidal force exerted on a...Ch. 12 - The magnitude of the tidal force between the...Ch. 12 - A dumbbell has a mass m on either end of a rod of...Ch. 12 - Prob. 62PCECh. 12 - CE You weigh yourself on a scale inside an...Ch. 12 - Figure 12-37 Problems 64 and 65 64. CE Rank...Ch. 12 - CE Referring to Figure 12-37, rank objects A, B,...Ch. 12 - CE The Crash of Skylab Skylab, the largest...Ch. 12 - Consider a system consisting of three masses on...Ch. 12 - An astronaut exploring a distant solar system...Ch. 12 - Predict/Calculate When the Moon is in its...Ch. 12 - Prob. 70GPCh. 12 - Suppose that each of the three masses in Figure...Ch. 12 - A Near Miss! In the early morning hours of June...Ch. 12 - Predict/Calculate Suppose a planet is discovered...Ch. 12 - Prob. 74GPCh. 12 - Walking into Orbit A spherical asteroid of average...Ch. 12 - Prob. 76GPCh. 12 - Find the orbital period of the binary star system...Ch. 12 - Exploring Mars In the not-too-distant future...Ch. 12 - Comet Wild 2 In 2004, a NASA spacecraft named...Ch. 12 - Predict/Calculate (a) If you want to launch a...Ch. 12 - Predict/Calculate A satellite is placed in Earth...Ch. 12 - Show that the force of gravity between the Moon...Ch. 12 - The astronomical unit AU is defined as the mean...Ch. 12 - Prob. 84GPCh. 12 - Predict/Calculate Space Station Orbit The...Ch. 12 - Approaching the ISS A Russian Soyuz module, with...Ch. 12 - Prob. 87GPCh. 12 - Prob. 88GPCh. 12 - Three identical stars, at the vertices of an...Ch. 12 - Prob. 90GPCh. 12 - If life exists elsewhere in our solar system, it...Ch. 12 - If life exists elsewhere in our solar system, it...Ch. 12 - If life exists elsewhere in our solar system, it...Ch. 12 - If life exists elsewhere in our solar system, it...Ch. 12 - If life exists elsewhere in our solar system, it...Ch. 12 - Predict/Calculate Referring to Example 12-8...Ch. 12 - Predict/Calculate Referring to Example 12-17 (a)...Ch. 12 - Predict/Calculate Referring to Example 12-17...
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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
- Find the speed needed to escape from the solar system starting from the surface of Earth. Assume there are no other bodies involved and do not account for the fact that Earth is moving in its orbit. [Hint: Equation 13.6 does not apply. Use Equation 13.5 and include the potential energy of both Earth and the Sun. Substituting the values for Earth’s mass and radius directly into Equation 13.6, we obtain vesc=2GMR=2(6.67 10 11Nm2/kg2)(5.96 10 24kg)(6.37 106m)=1.12104m/s That is about 11 km/s or 25,000 mph. To escape the Sun, starting from Earth’s orbit, we use R=RES=1.501011m and MSum=1.991030kg . The result is vesc=4.21104m/s or about 42 km/s. We have 12mvesc2GMmR=12m02GMm=0 Solving for the escape velocity,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_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
- Imagine that nitrogen and other atmospheric gases were more soluble in water so that the atmosphere of the Earth is entirely absorbed by the oceans. Atmospheric pressure would then be zero, and outer space would start at the planets surface. Would the Earth then have a gravitational field? (a) Yes, and at the surface it would be larger in magnitude than 9.8 N/kg. (b) Yes, and it would be essentially the same as the current value. (c) Yes, and it would be somewhat less than 9.8 N/kg. (d) Yes, and it would be much less than 9.8 N/kg. (e) No, it would not.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
- For 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_forwardA Molniya orbit is a highly eccentric orbit of a communication satellite so as to provide continuous communications coverage for Scandinavian countries and adjacent Russia. The orbit is positioned so that these countries have the satellite in view for extended periods in time (see below). If a satellite in such an orbit has an apogee at 40,000.0 km as measured from the center of Earth and a velocity of 3.0 km/s, what would be its velocity at perigee measured at 200.0 km altitude?arrow_forward
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