Concept explainers
In Fig. 13-24, two particles, of masses m and 2m, are fixed in place on an axis, (a) Where on the axis can a third particle of mass be placed (other than at infinity) so that the net gravitational force on it from the first two particles is zero: to the left of the first two particles, to their right, between them but closer to the more massive particle, or between them but closer to the less massive particle? (b) Does the answer change if the third particle has, instead, a mass of 16m? (c) Is there a point off the axis (other than infinity) at on the third particle would be zero?
Want to see the full answer?
Check out a sample textbook solutionChapter 13 Solutions
Fundamentals Of Physics - Volume 1 Only
Additional Science Textbook Solutions
College Physics: A Strategic Approach (3rd Edition)
Conceptual Physical Science (6th Edition)
Tutorials in Introductory Physics
University Physics with Modern Physics (14th Edition)
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Conceptual Physics: The High School Physics Program
- Estimate the gravitational force between two sumo wrestlers, with masses 220 kg and 240 kg, when they are embraced and their centers are 1.2 m apart.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_forwardCalculate 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_forward
- A point mass m is located a distance D from the nearest end of a thin rod of mass M and length L along the axis of the rod. Find the gravitational force exerted on the point mass by the rod.arrow_forwardIf a spacecraft is headed for the outer solar system, it may require several gravitational slingshots with planets in the inner solar system. If a spacecraft undergoes a head-on slingshot with Venus as in Example 11.6, find the spacecrafts change in speed vS. Hint: Venuss orbital period is 1.94 107 s, and its average distance from the Sun is 1.08 1011 m.arrow_forwardThe gravitational force exerted on an astronaut on the Earths surface is 650 N directed downward. When she is in the space station in orbit around the Earth, is the gravitational force on her (a) larger, (b) exactly the same, (c) smaller, (d) nearly but not exactly zero, or (e) exactly zero?arrow_forward
- Two identical uniform spheres A and B, with mass M=M= 1.00 [kg], are placed 0.500 [m] away from another spherical mass C with mass m=m= 0.300 [kg] as shown: If mass C is released from rest, what is its net acceleration? Assume that only the gravitational forces from spheres A and B act on C. State also the direction if it is upward or downward.arrow_forwardTwo objects attract each other with a gravitational force of magnitude 1.00×108 N when separated by 20.0 cm. If the total mass of the objects is 5.00 kg, what is the mass of each?arrow_forwardin the gravitational PE formula is it negative since the given mass is attracted to gravityarrow_forward
- A ring of radius 6.5 m lies in the x-y plane, centered on the origin. The portions of the ring in the first and third quadrants have a mass density of 3.6 kg/m, while the portions of the ring in the second and forth quadrants have a mass density of 9.5 kg/m. Find the z component of the gravitational field due to the ring at a point P on the z axis a distance 6 meters from the origin.Use G = 6.673E-11 N m2/kg2.arrow_forwardTwo spherical asteroids have mass 1= 1.00 x 10^20 kg and mass 2= 3.00 x 10^20 kg. The magnitude of the force of attraction between the two asteroids is 2.20 x 10^9 N. Calculate the distance between the two asteroids?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University