Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 11, Problem 67P
(a)
To determine
The total mass of the rod.
(b)
To determine
The gravitational field due to rod on x -axis at
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A solid uniform sphere has a mass of 4.00 x 10* kg and a radius of 1.5 m. (Use the following as necessary: r and m. Assume SI units. Do not enter units in your ansWers.)
(a) What is the magnitude of the gravitational force due to the sphere on a particle of mass m located at a distance of 1.6 m from the center of the sphere?
F =
N.
(b) What if it is 1.4 m from the center of the sphere?
F =
N.
(c) Write a general expression for the magnitude of the gravitational force on the particle at a distancer 1.5 m from the center of the sphere.
F =
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In introductory physics laboratories, a typicalCavendish balance for measuring the gravitational constant G uses lead spheres of masses1.68 kg and 14.4 g whose centers are separatedby 2.7 cm.Calculate the gravitational force betweenthese spheres, treating each as a point masslocated at the center of the sphere. Thevalue of the universal gravitational constantis 6.67259 × 10−11 N · m2/kg2.Answer in units of N.
Chapter 11 67. A nonuniform thin rod of length L lies on the x axis. One end of the rod is at the origin, and the other end is at x=L. the rod's mass per unit length λ varies as λ=Cx, where C is a constant.(Thus, an element of the rod has mass dm=λ dx.) (a) Determine the total mass of the rod. (b)Determine the gravitational field due to the rod on the x axis at x=x0, there x0 >L.
Chapter 11 Solutions
Physics for Scientists and Engineers
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- What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?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_forwardOn a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass of the planet?arrow_forward
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