Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 11, Problem 77P
To determine
The gravitational field strength on the x-axis at
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An endless thin wire of density Y1 (unit: kg/m) is just above the x axis. An infinitely thin layer of density Y2 (unit: kg/m²) is parallel to the x-y plane and intersects the z-axis at the point z= -a.
Find the gravitational field at (x,y,z) position. Give your answer in terms of (G,Y1,Y2, a, x, y, z, ^x, ^y, ^z(unit vectors)).
Hint:
A hint is given in the figure. The result will be (+ and -).
A spherical shell of inner diameter R and outer diameter 3 R has a uniform density ρ. What is the magnitude of the gravitational acceleration a distance R from the center of the spherical shell?
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Determine the gravitational potential inside (r R), where r is radial distance from
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Chapter 11 Solutions
Physics for Scientists and Engineers
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- Calculate 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_forwardA system consists of five particles. How many terms appear in the expression for the total gravitational potential energy of the system? (a) 4 (b) 5 (c) 10 (d) 20 (e) 25arrow_forward
- Compute directly the gravitational force on a unit mass at a point exterior to a homogeneous sphere of matter.arrow_forwardWhat is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?arrow_forwardLet gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)arrow_forward
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