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# Newtons law of gravity and Coulombs law are both

ISBN: 9780134081496 191

## Solution for problem 24.83 Chapter 24

Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition

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Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition

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Problem 24.83

Newtons law of gravity and Coulombs law are both inversesquare laws. Consequently, there should be a Gausss law for gravity. a. The electric field was defined as E u = F u on q /q, and we used this to find the electric field of a point charge. Using analogous reasoning, what is the gravitational field g u of a point mass?Write your answer using the unit vector nr, but be careful with signs; the gravitational force between two like masses is attractive, not repulsive. b. What is Gausss law for gravity, the gravitational equivalent of Equation 24.18? Use G for the gravitational flux, g u for the gravitational field, and Min for the enclosed mass. c. A spherical planet is discovered with mass M, radius R, and a mass density that varies with radius as r = r011 - r/2R2, where r0 is the density at the center. Determine r0 in terms of M and R. Hint: Divide the planet into infinitesimal shells of thickness dr, then sum (i.e., integrate) their masses. d. Find an expression for the gravitational field strength inside the planet at distance r 6 R.

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##### ISBN: 9780134081496

The full step-by-step solution to problem: 24.83 from chapter: 24 was answered by , our top Physics solution expert on 12/28/17, 08:06PM. Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) was written by and is associated to the ISBN: 9780134081496. Since the solution to 24.83 from 24 chapter was answered, more than 577 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36), edition: 4. The answer to “Newtons law of gravity and Coulombs law are both inversesquare laws. Consequently, there should be a Gausss law for gravity. a. The electric field was defined as E u = F u on q /q, and we used this to find the electric field of a point charge. Using analogous reasoning, what is the gravitational field g u of a point mass?Write your answer using the unit vector nr, but be careful with signs; the gravitational force between two like masses is attractive, not repulsive. b. What is Gausss law for gravity, the gravitational equivalent of Equation 24.18? Use G for the gravitational flux, g u for the gravitational field, and Min for the enclosed mass. c. A spherical planet is discovered with mass M, radius R, and a mass density that varies with radius as r = r011 - r/2R2, where r0 is the density at the center. Determine r0 in terms of M and R. Hint: Divide the planet into infinitesimal shells of thickness dr, then sum (i.e., integrate) their masses. d. Find an expression for the gravitational field strength inside the planet at distance r 6 R.” is broken down into a number of easy to follow steps, and 190 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 42 chapters, and 4463 solutions.

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