Physics, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134020853
Author: James S. Walker
Publisher: PEARSON
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Chapter 12, Problem 74GP
To determine
To Show: The speed of satellite in a circular orbit.
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A satellite m = 500 kg orbits the earth at a distance d = 213 km, above the surface of the planet. The radius of the earth is re = 6.38 × 106 m and the gravitational constant G = 6.67 × 10-11 N m2/kg2 and the Earth's mass is me = 5.98 × 1024 kg.
What is the speed of the satellite in m/s?
v =
A satellite m = 500 kg orbits the earth at a distance d = 190 km, above the surface of the planet. The radius of the earth is re = 6.38 × 106 m and the gravitational constant G = 6.67 × 10-11 N m2/kg2 and the Earth's mass is me = 5.98 × 1024 kg. What is the speed of the satellite in m/s?
A satellite experiences a gravitational force of magnitude F on the surface of the earth.
The radius of the earth is R. The satellite now circles the earth at an unknown height
above the surface of the earth and experiences a gravitational force of magnitude % F.
This unknown height is .
A R
2 R
3 R
B
D
4 R
Chapter 12 Solutions
Physics, Books a la Carte Edition (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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- 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_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_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_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_forwardThe astronaut orbiting the Earth in Figure P3.27 is preparing to dock with a Westar VI satellite. The satellite is in a circular orbit 600 km above the Earth’s surface, where the free-fall acceleration is 8.21 m/s2. Take the radius of the Earth as 6 400 km. Determine the speed of the satellite and the time interval required to complete one orbit around the Earth, which is the period of the satellite. Figure P3.27arrow_forwardThe mass of a roller-coaster car, including its passengers, is 500 kg. Its speed at the bottom of the track in Figure P6.16 is 19 m/s. The radius of this section of the track is r1 = 25 m. Find the force that a seat in the roller-coaster car exerts on a 50-kg passenger at the lowest point.arrow_forward
- In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?arrow_forwardSuppose a satellite orbits the Earth such that it is well modeled as a particle. Draw a sketch of it in its orbit. Explain how itsmotion is different from the Moons motion around the Earth.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
- Which of the following is impossible for a car moving in a circular path? Assume that the car is never at rest. (a) The car has tangential acceleration but no centripetal acceleration. (b) The car has centripetal acceleration but no tangential acceleration. (c) The car has both centripetal acceleration and tangential acceleration.arrow_forwardFIGURE 8.38 Comparison of a circular and an elliptical orbit. The semimajor axis of the ellipse is the radius of the circular orbit. At points I and J on the ellipse, the particles speed is the same as it would be on the circle. At perihelion P, the particles speed is too high to maintain a circular orbit, and at aphelion A, it is too low. G Case Study Comet Hale-Bopps elliptical orbit is described in Problem 63. Draw an energy graph for the Suncomet system. For points A, P, I, and J (Fig. 8.38, page 236), superimpose a bar chart on the energy graph.arrow_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_forward
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