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A uniform sphere with mass 60.0 kg is held with its center

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 44P Chapter 13

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 44P

A uniform sphere with mass 60.0 kg is held with its center at the origin, and a second uniform sphere with mass 80.0 kg is held with its center at the point ?x = 0, y = 3.00 m. (a) What are the magnitude and direction of the net gravitational force due to these objects on a third uniform sphere with mass 0.500 kg placed at the point ?x = 4.00 m, ?y = 0? (b) Where, other than infinitely far away, could the third sphere be placed such that the net gravitational force acting on it from the other two spheres is equal to zero?

Step-by-Step Solution:

Step 1 of 3 a) m1m2 F 1 G r2 13 11 2 =6.673×10 N.m /kg ×60 kg×0.500 kg = (4 m) 10 = 1.251 × 10 N m2m3 F 1 G r2 23 11 2 =6.673×10 N.m /kg ×80 kg×0.500 kg = (5 m) 10 = 1.068 × 10 N Step 2 of 3 10 F 1x = 1.251 × 10 N, F 1y= 0 10 11 F 2x = F co2 = (1.068 × 10 N)(0.8) = 8.544 × 10 N 10 11 F 2y = F si2 = (1.068 × 10 N)(0.6) = 6.408 × 10 N F x F 1x + F 2x 10 11 = 1.251 × 10 N + 8.544 × 10 N = 2.105 × 1010N F y F 1y+ F2y 11 = 0 + 6.408 × 10 N = 6.408 × 1011N 2 2 F = F x F y 10 2 11 2 = ( 2.105 × 10 N) + (6.408 × 10 N) = 2.2 × 1010N 11 N tan = Fy = 6.408×10 Fx 2.105×10N = 163 0

Step 3 of 3

Chapter 13, Problem 44P is Solved
Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. This full solution covers the following key subjects: sphere, uniform, mass, other, point. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 44P from chapter: 13 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 44P from 13 chapter was answered, more than 266 students have viewed the full step-by-step answer. The answer to “A uniform sphere with mass 60.0 kg is held with its center at the origin, and a second uniform sphere with mass 80.0 kg is held with its center at the point ?x = 0, y = 3.00 m. (a) What are the magnitude and direction of the net gravitational force due to these objects on a third uniform sphere with mass 0.500 kg placed at the point ?x = 4.00 m, ?y = 0? (b) Where, other than infinitely far away, could the third sphere be placed such that the net gravitational force acting on it from the other two spheres is equal to zero?” is broken down into a number of easy to follow steps, and 106 words. University Physics was written by and is associated to the ISBN: 9780321675460.

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