Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 13, Problem 15P
To determine
The magnitude of the gravitational field at the fourth corner.
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A certain spherical planet is made up of two types of material: in the inner core (from the center to radius r = 2R), the mass density is p1; in the outer core (r = 2R to r= 5R), the mass density is p2 = 1/2 p1. Using Gauss’s law,
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Members of the Star Trek exploration committee find themselves on Physitopia, a planet with its own unique gravitational characteristics. The Force-sensitive individuals on the committee, accustomed to manipulating the Force on various planets, are now faced with a new challenge: understanding and adapting to the gravitational force on Physitopia. Physitopia has a mass of 6.46 × 1023 kg and a radius of 3.39 × 106 m, poses an intriguing gravitational scenario. To address the concerns of the Star Trek characters, we must calculate the acceleration due to gravity on Physitopia and determine the weight of a 65 kg individual.
Chapter 13 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 13.1 - A planet has two moons of equal mass. Moon 1 is in...Ch. 13.2 - Prob. 13.2QQCh. 13.4 - Prob. 13.3QQCh. 13.6 - Prob. 13.4QQCh. 13 - Prob. 1OQCh. 13 - Prob. 2OQCh. 13 - Prob. 3OQCh. 13 - Prob. 4OQCh. 13 - Prob. 5OQCh. 13 - Prob. 6OQ
Ch. 13 - Prob. 7OQCh. 13 - Prob. 8OQCh. 13 - Prob. 9OQCh. 13 - Prob. 10OQCh. 13 - Prob. 11OQCh. 13 - Prob. 1CQCh. 13 - Prob. 2CQCh. 13 - Prob. 3CQCh. 13 - Prob. 4CQCh. 13 - Prob. 5CQCh. 13 - Prob. 6CQCh. 13 - Prob. 7CQCh. 13 - Prob. 8CQCh. 13 - Prob. 9CQCh. 13 - Prob. 1PCh. 13 - Determine the order of magnitude of the...Ch. 13 - Prob. 3PCh. 13 - During a solar eclipse, the Moon, the Earth, and...Ch. 13 - Prob. 5PCh. 13 - Prob. 6PCh. 13 - Prob. 7PCh. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - Prob. 10PCh. 13 - Prob. 11PCh. 13 - Prob. 12PCh. 13 - Review. Miranda, a satellite of Uranus, is shown...Ch. 13 - (a) Compute the vector gravitational field at a...Ch. 13 - Prob. 15PCh. 13 - A spacecraft in the shape of a long cylinder has a...Ch. 13 - An artificial satellite circles the Earth in a...Ch. 13 - Prob. 18PCh. 13 - Prob. 19PCh. 13 - A particle of mass m moves along a straight line...Ch. 13 - Prob. 21PCh. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - Prob. 24PCh. 13 - Use Keplers third law to determine how many days...Ch. 13 - Prob. 26PCh. 13 - Prob. 27PCh. 13 - (a) Given that the period of the Moons orbit about...Ch. 13 - Suppose the Suns gravity were switched off. The...Ch. 13 - Prob. 30PCh. 13 - Prob. 31PCh. 13 - How much energy is required to move a 1 000-kg...Ch. 13 - Prob. 33PCh. 13 - An object is released from rest at an altitude h...Ch. 13 - A system consists of three particles, each of mass...Ch. 13 - Prob. 36PCh. 13 - A 500-kg satellite is in a circular orbit at an...Ch. 13 - Prob. 38PCh. 13 - Prob. 39PCh. 13 - Prob. 40PCh. 13 - Prob. 41PCh. 13 - Prob. 42PCh. 13 - Prob. 43PCh. 13 - Prob. 44PCh. 13 - Prob. 45PCh. 13 - Prob. 46PCh. 13 - Ganymede is the largest of Jupiters moons....Ch. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Prob. 50APCh. 13 - Prob. 51APCh. 13 - Voyager 1 and Voyager 2 surveyed the surface of...Ch. 13 - Prob. 53APCh. 13 - Why is the following situation impossible? A...Ch. 13 - Let gM represent the difference in the...Ch. 13 - A sleeping area for a long space voyage consists...Ch. 13 - Prob. 57APCh. 13 - Prob. 58APCh. 13 - Prob. 59APCh. 13 - Two spheres having masses M and 2M and radii R and...Ch. 13 - Prob. 61APCh. 13 - (a) Show that the rate of change of the free-fall...Ch. 13 - Prob. 63APCh. 13 - Prob. 64APCh. 13 - Prob. 65APCh. 13 - A certain quaternary star system consists of three...Ch. 13 - Studies of the relationship of the Sun to our...Ch. 13 - Review. Two identical hard spheres, each of mass m...Ch. 13 - Prob. 69APCh. 13 - Prob. 70APCh. 13 - Prob. 71APCh. 13 - Prob. 72APCh. 13 - Prob. 73APCh. 13 - Two stars of masses M and m, separated by a...Ch. 13 - Prob. 75APCh. 13 - Prob. 76APCh. 13 - As thermonuclear fusion proceeds in its core, the...Ch. 13 - The Solar and Heliospheric Observatory (SOHO)...Ch. 13 - Prob. 79CPCh. 13 - Prob. 80CP
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- (a) Compute the vector gravitational field at a point P on the perpendicular bisector of the line joining two objects of equal mass separated by a distance 2a as shown in Figure P11.12. (b) Explain physically why the field should approach zero as r 0. (c) Prove mathematically that the answer to part (a) behaves in this way. (d) Explain physically why the magnitude of the field should approach 2GM/r2 as r . (e) Prove mathematically that the answer to part (a) behaves correctly in this limit. Figure P11.12arrow_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_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
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