Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Question
Chapter 12, Problem 90GP
To determine
The expression for Kinetic Energy of Satellite.
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Find an expression for the kinetic energy of a satellite of mass m in an orbit of radius r about a planet of mass M .
Express your answer in terms of the variables m, r, M, and appropriate constants.
If the mass and radius of Mars are 6.39 × 1023 kg and 3.4 × 106 m, respectively, what is the escape velocity needed for a spaceship of mass 25,000 kg to escape the gravitational potential well of Mars?
A) 1,200 m/s
B). 8,658 m/s
C). 7,270 m/s
D). 5,022 m/s
Chapter 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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- It was stated that a satellite with negative total energy is in a bound orbit, whereas one with zero or positive total energy is in an unbounded orbit. Why zero or positive total energy is in an unbounded orbit. Why is this true? What choice for gravitational potential energy was made such that this is true?arrow_forwardFind the escape speed of a projectile from the surface of Jupiter.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
- Find the escape speed of a projectile from the surface of Mars.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_forwardWhat is the escape speed of a satellite located at the Moon’s orbit about Earth? Assume the Moon is not nearby.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_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 particle is projected vertically upward in a constant gravitational field with an initial speed 0. Show that if there is a retarding force proportional to the square of the instantaneous speed, the speed of the particle when it returns to the initial position is 0t02+t2 where t, is the terminal speed.arrow_forward
- Rank the following quantities of energy from largest to the smallest. State if any are equal. (a) the absolute value of the average potential energy of the SunEarth system (b) the average kinetic energy of the Earth in its orbital motion relative to the Sun (c) the absolute value of the total energy of the SunEarth systemarrow_forwardAn average-sized asteroid located 5.0107km from Earth with mass 2.01013kg is detected headed directly toward Earth with speed of 2.0km/s . What will its speed be just before it hits our atmosphere? (You may ignore the size of the asteroid.)arrow_forward
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