Physics for Scientists and Engineers With Modern Physics
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 14P

(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 P13.6. (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 P13.6

Chapter 13, Problem 14P, (a) Compute the vector gravitational field at a point P on the perpendicular bisector of the line

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Chapter 13 Solutions

Physics for Scientists and Engineers With Modern Physics

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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