Concept explainers
What can you say about the velocity of a moving body that in dynamic equilibrium? Draw a sketch of such a body using clearly labeled arrows to represent all external forces on the body.
The velocity of a moving body that is dynamic equilibrium and sketch a diagram of such a body.
Answer to Problem 1CQ
The velocity of a body in dynamic equilibrium is a constant, both in magnitude and direction.
Explanation of Solution
Introduction:
A body is said to be in equilibrium if the total force on the body is zero. On this basis, there are two kinds of equilibria- static equilibrium and dynamic equilibrium. According to Newton's first law, a body continues to be in the state of rest or in the state of uniform motion in a straight line, unless acted upon by an external unbalanced force. Further, Newton's second law implies that an unbalanced force produces an acceleration.
The sum of the forces acting on a body which is in dynamic equilibrium is zero. Therefore, the body experiences no acceleration. As a result, its velocity does not change. Thus, the body which is in dynamic equilibrium moves with a constant velocity.
Consider a block of weight W, acted upon by a force F. The block is placed on a horizontal surface. The surface exerts an upward force FNcalled the normal force on the block. A force of friction f acts between the surface and the block. The block moves towards the right with a velocity v.
The forces W and FNare equal and opposite. Thus, the sum of the forces along the vertical direction is zero. If the applied force F and the force of friction f have equal magnitudes but they are directed opposite to each other. Thus, the net force along the horizontal is also equal to zero. The sum of the forces acting on the block, being zero, the block is not accelerated. Thus, the velocity of the block remains constant. It continues to move with the same speed v and in the same direction.
A diagram representing the forces is shown below.
Conclusion:
A moving body under dynamic equilibrium moves with a constant velocity.
Want to see more full solutions like this?
Chapter 9 Solutions
COLLEGE PHYSICS
Additional Science Textbook Solutions
Biology: Life on Earth with Physiology (11th Edition)
Applications and Investigations in Earth Science (9th Edition)
Human Anatomy & Physiology (2nd Edition)
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Campbell Essential Biology (7th Edition)
College Physics: A Strategic Approach (3rd Edition)
- Statistical thermodynamics. The number of imaginary replicas of a system of N particlesa) cannot be greater than Avogadro's numberb) must always be greater than Avogadro's number.c) has no relation to Avogadro's number.arrow_forwardLab-Based Section Use the following information to answer the lab based scenario. A student performed an experiment in an attempt to determine the index of refraction of glass. The student used a laser and a protractor to measure a variety of angles of incidence and refraction through a semi-circular glass prism. The design of the experiment and the student's results are shown below. Angle of Incidence (°) Angle of Refraction (º) 20 11 30 19 40 26 50 31 60 36 70 38 2a) By hand (i.e., without using computer software), create a linear graph on graph paper using the student's data. Note: You will have to manipulate the data in order to achieve a linear function. 2b) Graphically determine the index of refraction of the semi-circular glass prism, rounding your answer to the nearest hundredth.arrow_forwardUse the following information to answer the next two questions. A laser is directed at a prism made of zircon (n = 1.92) at an incident angle of 35.0°, as shown in the diagram. 3a) Determine the critical angle of zircon. 35.0° 70° 55 55° 3b) Determine the angle of refraction when the laser beam leaves the prism.arrow_forward
- Use the following information to answer the next two questions. A laser is directed at a prism made of zircon (n = 1.92) at an incident angle of 35.0°, as shown in the diagram. 3a) Determine the critical angle of zircon. 35.0° 70° 55 55° 3b) Determine the angle of refraction when the laser beam leaves the prism.arrow_forwardNo chatgpt pls will upvotearrow_forwardA beam of alpha-particles of energy 7.3MeV is used.The protons emitted at an angle of zero degree are found to have energy of 9.34MeV.Find the Q-value of this reaction .arrow_forward
- An aluminum rod and a copper rod have the same length of 100cm at 5C. At what temperatures would one of the rods be 0.5 mm longer than the other? Which rod is longer at such temperature?arrow_forwardROTATIONAL DYNAMICS Question 01 A solid circular cylinder and a solid spherical ball of the same mass and radius are rolling together down the same inclined. Calculate the ratio of their kinetic energy. Assume pure rolling motion Question 02 A sphere and cylinder of the same mass and radius start from ret at the same point and more down the same plane inclined at 30° to the horizontal Which body gets the bottom first and what is its acceleration b) What angle of inclination of the plane is needed to give the slower body the same acceleration Question 03 i) Define the angular velocity of a rotating body and give its SI unit A car wheel has its angular velocity changing from 2rads to 30 rads seconds. If the radius of the wheel is 400mm. calculate ii) The angular acceleration iii) The tangential linear acceleration of a point on the rim of the wheel Question 04 in 20arrow_forwardQuestion B3 Consider the following FLRW spacetime: t2 ds² = -dt² + (dx² + dy²+ dz²), t2 where t is a constant. a) State whether this universe is spatially open, closed or flat. [2 marks] b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function of time t, starting at t = 0. [3 marks] c) Taking galaxy A to be located at (x, y, z) = (0,0,0), determine the proper distance to galaxy B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect to galaxy A. d) The Friedmann equations are 2 k 8πG а 4πG + a² (p+3p). 3 a 3 [5 marks] Use these equations to determine the energy density p(t) and the pressure p(t) for the FLRW spacetime specified at the top of the page. [5 marks] e) Given the result of question B3.d, state whether the FLRW universe in question is (i) radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv) none of the previous. Justify your answer. f) [5 marks] A conformally…arrow_forward
- SECTION B Answer ONLY TWO questions in Section B [Expect to use one single-sided A4 page for each Section-B sub question.] Question B1 Consider the line element where w is a constant. ds²=-dt²+e2wt dx², a) Determine the components of the metric and of the inverse metric. [2 marks] b) Determine the Christoffel symbols. [See the Appendix of this document.] [10 marks] c) Write down the geodesic equations. [5 marks] d) Show that e2wt it is a constant of geodesic motion. [4 marks] e) Solve the geodesic equations for null geodesics. [4 marks]arrow_forwardPage 2 SECTION A Answer ALL questions in Section A [Expect to use one single-sided A4 page for each Section-A sub question.] Question A1 SPA6308 (2024) Consider Minkowski spacetime in Cartesian coordinates th = (t, x, y, z), such that ds² = dt² + dx² + dy² + dz². (a) Consider the vector with components V" = (1,-1,0,0). Determine V and V. V. (b) Consider now the coordinate system x' (u, v, y, z) such that u =t-x, v=t+x. [2 marks] Write down the line element, the metric, the Christoffel symbols and the Riemann curvature tensor in the new coordinates. [See the Appendix of this document.] [5 marks] (c) Determine V", that is, write the object in question A1.a in the coordinate system x'. Verify explicitly that V. V is invariant under the coordinate transformation. Question A2 [5 marks] Suppose that A, is a covector field, and consider the object Fv=AAμ. (a) Show explicitly that F is a tensor, that is, show that it transforms appropriately under a coordinate transformation. [5 marks] (b)…arrow_forwardHow does boiling point of water decreases as the altitude increases?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning