Essential University Physics
4th Edition
ISBN: 9780134988559
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 8, Problem 47P
To determine
An expression for the orbital period of three identical stars with orbital motion.
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Chapter 8 Solutions
Essential University Physics
Ch. 8.2 - Suppose the distance between two objects is cut in...Ch. 8.3 - Suppose the paths in Fig. 8.8 are the paths of...Ch. 8.4 - Prob. 8.3GICh. 8 - What do Newtons apple and the Moon have in common?Ch. 8 - Prob. 2FTDCh. 8 - When you stand on Earth, the distance between you...Ch. 8 - The force of gravity on an object is proportional...Ch. 8 - A friend who knows nothing about physics asks what...Ch. 8 - Could you put a satellite in an orbit that keeps...Ch. 8 - Why are satellites generally launched eastward and...
Ch. 8 - Given Earths mass, the Moons distance and orbital...Ch. 8 - How should a satellite be launched so that its...Ch. 8 - Does the gravitational force of the Sun do work on...Ch. 8 - Space explorers land on a planet with the same...Ch. 8 - Use data for the Moons orbit from Appendix E to...Ch. 8 - Prob. 13ECh. 8 - Prob. 14ECh. 8 - Two identical lead spheres with their centers 14...Ch. 8 - Whats the approximate value of the gravitational...Ch. 8 - A sensitive gravimeter is carried to the top of...Ch. 8 - Prob. 18ECh. 8 - Find the speed of a satellite in geostationary...Ch. 8 - Marss orbit has a diameter 1.52 times that of...Ch. 8 - Calculate the orbital period for Jupiters moon Io,...Ch. 8 - An astronaut hits a golf ball horizontally from...Ch. 8 - The Mars Reconnaissance Orbiter circles the red...Ch. 8 - Earths distance from the Sun varies from 147 Gm at...Ch. 8 - Prob. 25ECh. 8 - A rocket is launched vertically upward from Earths...Ch. 8 - What vertical launch speed is necessary to get a...Ch. 8 - Prob. 28ECh. 8 - Determine escape speeds from (a) Jupiters moon...Ch. 8 - Prob. 30ECh. 8 - Prob. 31ECh. 8 - Prob. 32ECh. 8 - Example 8.2: Find the altitude and speed of a...Ch. 8 - Prob. 34ECh. 8 - Prob. 35ECh. 8 - Example 8.4: A coronal mass ejection (CME) is an...Ch. 8 - Example 8.4: In September 2017, the Cassini...Ch. 8 - The gravitational acceleration at a planets...Ch. 8 - Prob. 39PCh. 8 - If youre standing on the ground 15 m directly...Ch. 8 -
On January 1, 2019, the450-kg New Horizons...Ch. 8 - Equation 7.9 relates force to the derivative of...Ch. 8 - During the Apollo Moon landings, one astronaut...Ch. 8 - Prob. 44PCh. 8 - Prob. 45PCh. 8 - Prob. 46PCh. 8 - Prob. 47PCh. 8 - Satellites A and B are in circular orbits, with A...Ch. 8 - The asteroid that exploded over Chelyabinsk,...Ch. 8 - Prob. 50PCh. 8 - Prob. 51PCh. 8 - Neglecting air resistance, to what height would...Ch. 8 - Show that an object released from rest very far...Ch. 8 - Prob. 54PCh. 8 -
In 2017 North Korea developed ballistic missile...Ch. 8 - Prob. 56PCh. 8 - Prob. 57PCh. 8 - Prob. 58PCh. 8 - Prob. 59PCh. 8 - Two meteoroids are 160,000 km from Earths center...Ch. 8 - Prob. 62PCh. 8 - A missiles trajectory takes it to a maximum...Ch. 8 - Prob. 64PCh. 8 - Mercurys orbital speed varies from 38.8 km/s at...Ch. 8 - Prob. 66PCh. 8 - Two satellites are in geostationary orbit but in...Ch. 8 - Prob. 68PCh. 8 - Prob. 69PCh. 8 - We derived Equation 8.4 on the assumption that the...Ch. 8 - Prob. 71PCh. 8 - As a member of the 2040 Olympic committee, youre...Ch. 8 - The Olympic Committee is keeping you busy! Youre...Ch. 8 - Tidal forces are proportional to the variation in...Ch. 8 - Spacecraft that study the Sun are often placed at...Ch. 8 - Prob. 76PPCh. 8 - Prob. 77PPCh. 8 - Prob. 78PPCh. 8 - The Global Positioning System (GPS) uses a...
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- 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_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_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
- What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?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_forwardA uniform, solid sphere, of radius R=0.84km, produces a gravitational acceleration of ag on its surface. At what distance from the sphere's center are there points (a) inside and (b) outside the sphere, where the gravitational acceleration is ag/3?arrow_forward
- We are presented with a particle of mass (m = 4.56 kg) which is in uniform circular motion going around a fixed point O. It had a radius of orbit (r = 3.63 m) and it experiences a net force of magnitude F = Br toward the fixed point O, where B = 2.75 Nm. What is the period of the particles orbit?arrow_forwarda square of edge length 20.0 cm is formed by four spheres of masses m1 = 5.00 g, m2 = 3.00 g, m3 = 1.00 g, and m4 = 5.00 g. In unit-vector notation, what is the net gravitational force from them on a central sphere with mass m5 = 2.50 g?arrow_forwardConsider the Sun-Jupiter system. The mass of the Sun isMs= 1.99*10^30 kg and the mass of Jupiter is Mj = 1.90*10^27 kg. Jupiter orbits in a circle about the Sun and the distance between the center of the Sun and the center of the Jupiter is r = 7.78*10^11 m.(c) What is the magnitude of the acceleration of Jupiter due to thegravitational force the Sun exerts on Jupiter?(d) Based on the acceleration of Jupiter due to the gravitational force the Sun exerts on Jupiter calculated in Part (b), what is the period T of Jupiter’s orbit about the Sun? (e) How far from the center of the Sun is the center of mass of the Sun-Jupiter system?arrow_forward
- Four uniform spheres, with masses mA= 40 kg,mB = 35 kg, mC = 200 kg, and mD= 50 kg, have (x, y) coordinates of (0, 50 cm),(0, 0), (-80 cm, 0), and (40 cm, 0), respectively. In unit-vector notation,what is the net gravitational force on sphere B due to theother spheres?arrow_forwardAn astronaut, whose mission is to go where no one has gone before, lands on a spherical planet in a distant galaxy. As she stands on the surface of the planet, she releases a small rock from rest and finds that it takes the rock 0.480 s to fall 1.90 m. If the radius of the planet is 8.60 * 107 m, what is the mass of the planet?arrow_forwardtwo particles, of masses m and 2m, are fixed in place on an axis. (a) Where on the axis can a third particle of mass 3m be placed (other than at infinity) so that the net gravitational force on it from the first two particles is zero: to the left of the first two particles, to their right, between them but closer to the more massive particle, or between them but closer to the less massive particle? (b) Does the answer change if the third particle has, instead, a mass of 16m? (c) Is there a point off the axis (other than infinity) at which the net force on the third particle would be zero?arrow_forward
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