Concept explainers
GO Three dimensions. Three point particles are fixed in place in an xyz coordinate system. Particle A, at the origin, has mass mA Particle B, at xyz coordinates (2.00d, 1.00d, 2.00d). has mass 2.00mA, and particle C, at coordinates (−1.00d, 2.00d, −3.00d), has mass 3.00mA. A fourth particle D. with mass 4.00mA, is to be placed near the other particles. In terms of distance d, at w hat (a) .x, (b) y, and (c) z coordinate should D be placed so that the net gravitational force on A from B, C. and D is 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
Conceptual Physical Science (6th Edition)
Physics: Principles with Applications
College Physics: A Strategic Approach (4th Edition)
Essential University Physics: Volume 2 (3rd Edition)
The Cosmic Perspective (8th Edition)
Applied Physics (11th Edition)
- A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.3 meters, and a mass M = 251 kg. A small boy of mass m = 42 kg runs tangentially to the merry-go-round at a speed of v = 1.2 m/s, and jumps on. Randomized Variables R = 1.3 metersM = 251 kgm = 42 kgv = 1.2 m/s a) The boy then crawls towards the center of the merry-go-round along a radius. What is the angular speed in radians/second of the merry-go-round when the boy is half way between the edge and the center of the merry go round? b) The boy then crawls to the center of the merry-go-round. What is the angular speed in radians/second of the merry-go-round when the boy is at the center of the merry go round? c)Finally, the boy decides that he has had enough fun. He decides to crawl to the outer edge of the merry-go-round and jump off. Somehow, he manages to jump in such a way that he hits the…arrow_forwardIn the ammonia (NH3) molecule of the figure, three hydrogen (H) atoms form an equilateral triangle, with the center of the triangle at distance d = 9.40 × 10–11 m from each hydrogen atom. The nitrogen (N) atom is at the apex of a pyramid, with the three hydrogen atoms forming the base. The nitrogen-to-hydrogen atomic mass ratio is 13.9, and the nitrogen-to-hydrogen distance is L = 10.14 × 10–11 m. What are the (a) x and (b) y coordinates of the molecule's center of mass?arrow_forwardAn unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 1.0 ✕ 10−27 kg,moves in the positive y-direction with speed v1 = 5.2 ✕ 106 m/s.Another particle, of mass m2 = 9.0 ✕ 10−27 kg,moves in the positive x-direction with speed v2 = 3.0 ✕ 106 m/s.Find the magnitude and direction of the velocity of the third particle. (Assume that the +x-axis is to the right and the +y-axis is up along the page.)arrow_forward
- A star with mass M and radius R collides head-on with another star of mass ¾*M and radius 4/5*R, and they coalesce to form a new start at rest whose radius is 6/5*R. Assume that initially the colliding stars had angular velocities with opposite directions but the same magnitude w. What is the magnitude and direction of the final’s stars angular velocity? (Express the magnitude as a fraction of w.)arrow_forwardAn unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 1.8 ✕ 10−27 kg,moves in the positive y-direction with speed v1 = 5.4 ✕ 106 m/s. Another particle, of mass m2 = 9.0 ✕ 10−27 kg, moves in the positive x-direction with speed v2 = 3.2 ✕ 106 m/s. Find the magnitude and direction of the velocity of the third particle. Answer the following:arrow_forwardWhy is Moment B and C equal to zero?arrow_forward
- A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.5 meters, and a mass M = 251 kg. A small boy of mass m = 41 kg runs tangentially to the merry-go-round at a speed of v = 1.8 m/s, and jumps on.Randomized VariablesR = 1.5 metersM = 251 kgm = 41 kgv = 1.8 m/s (a) Calculate the moment of inertia of the merry-go-round, in kg ⋅ m2. Part (b) Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of the merry-go-round.(c) Immediately after the boy jumps on the merry go round, calculate the angular speed in radians/second of the merry-go-round and boy.(d) The boy then crawls towards the center of the merry-go-round along a radius. What is the angular speed in radians/second of the merry-go-round when the boy is half way between the edge and the center of the merry go round?(e) The…arrow_forwardAn unstable nucleus of mass 1.7 × 10–26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 5.0 × 10–27 kg, moves in the positive y - direction with speed v1 = 6.0 × 106 m/s. Another particle, of mass m2 = 8.4 × 10–27 kg, moves in the positive x - direction with speed v2 = 4.0 × 106 m/s. Find the magnitude and direction of the velocity of the third particle.arrow_forwardA merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.3 meters, and a mass M = 291 kg. A small boy of mass m = 42 kg runs tangentially to the merry-go-round at a speed of v = 1.8 m/s, and jumps on. Randomized VariablesR = 1.3 metersM = 291 kgm = 42 kgv = 1.8 m/s Part A- Calculate the moment of inertia of the merry-go-round, in kg ⋅ m2. Part B- Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of the merry-go-round. Part C- Immediately after the boy jumps on the merry go round, calculate the angular speed in radians/second of the merry-go-round and boy. Part D- The boy then crawls towards the center of the merry-go-round along a radius. What is the angular speed in radians/second of the merry-go-round when the boy is half way between the edge and the center of the merry…arrow_forward
- The forces P = 44 lb and Q = 34 lb are exerted on the post. Determine the moment of reaction at embedment A, in lb ft, positive counterclockwise. a = 2, b = 4, c = 12 ft, d = 5 ft, and θ = 31 °.arrow_forwardConsider the two vectors G = (4.55 N)i + (4.99 N)j + (8.16 N)k and H = (2.08 N)i + (5.89 N)j. 1. What is the component of G along H in units of N? compHG = _______arrow_forward(Gauss's Law for Mass) Journey through the Center of the Earth. A 1024-kg blue ball is dropped from an initial z-position of 4 x 106 m through the center of a planet with radius 8.1 x 106 m. If the mass of the planet is 40.9 x 1015 kg, measure the displacement of the ball at time t = 9 s?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University