
Concept explainers
A liquid flowing from a vertical pipe has a definite shape as it flows from the pipe. To get the equation for this shape, assume that the liquid is in free fall once it leaves the pipe. Just as it leaves the pipe, the liquid has speed ν0 and the radius of the stream of liquid is r0. (a) Find an equation for the speed of the liquid as a function of the distance y it has fallen. Combining this with the equation of continuity, find an expression for the radius of the stream as a function of y. (b) If water flows out of a vertical pipe at a speed of 1.20 m/s, how far below the outlet will the radius be one-half the original radius of the stream?

Want to see the full answer?
Check out a sample textbook solution
Chapter 12 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
Additional Science Textbook Solutions
Cosmic Perspective Fundamentals
Anatomy & Physiology (6th Edition)
Concepts of Genetics (12th Edition)
Organic Chemistry (8th Edition)
Applications and Investigations in Earth Science (9th Edition)
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
- A bungee jumper plans to bungee jump from a bridge 64.0 m above the ground. He plans to use a uniform elastic cord, tied to a harness around his body, to stop his fall at a point 6.00 m above the water. Model his body as a particle and the cord as having negligible mass and obeying Hooke's law. In a preliminary test he finds that when hanging at rest from a 5.00 m length of the cord, his body weight stretches it by 1.55 m. He will drop from rest at the point where the top end of a longer section of the cord is attached to the bridge. (a) What length of cord should he use? Use subscripts 1 and 2 respectively to represent the 5.00 m test length and the actual jump length. Use Hooke's law F = KAL and the fact that the change in length AL for a given force is proportional the length L (AL = CL), to determine the force constant for the test case and for the jump case. Use conservation of mechanical energy to determine the length of the rope. m (b) What maximum acceleration will he…arrow_forward210. Sometimes the Helmholtz free energy F(T, V, N) divided by temperature, T, is an interesting quantity. For example, the quantity is proportional to the logarithm of the equilibrium constant or solubilities. A. Derive a relationship showing that Find the constant of proportionality. a F αυ ƏT T B. Suppose F(T) depends on temperature in the following way: F(T)=2aT²+bT. Find S(T) and U(T).arrow_forwardchoosing East (e) is not correct!arrow_forward
- disks have planes that are parallel and centered Three polarizing On a common axis. The direction of the transmission axis Colish dashed line) in each case is shown relative to the common vertical direction. A polarized beam of light (with its axis of polarization parallel to the horizontal reference direction) is incident from the left on the first disk with int intensity So = 790 W/m². Calculate the transmitted intensity if 81=28.0° O2-35.0°, and O3 = 40.0° w/m² horizontal Өз 02arrow_forwardA polarized light is incident on several polarizing disks whose planes are parallel and centered on common axis. Suppose that the transmission axis of the first polarizer is rotated 20° relative to the axis of polarization of the incident and that the transmission axis of each exis of light, additional analyzer is rotated 20° relative to the transmission axis the previous one. What is the minimum number of polarizer needed (whole number), so the transmitted light through all polarizing sheets has an Striking intensity that is less then 10% that the first polarizer?arrow_forwardA high energy pulsed laser emits 1.5 nano second-long pulse of average power 1.80x10" W. The beam is cylindrical with 2.00 mm in radius. Determine the rms value of the B-field? -Tarrow_forward
- A 23.0-mw (mill:-Watts) laser puts out a narrow cyclindrical beam 50 mm in diameter. What is the average N/C. rms E-field?arrow_forwardThe average intensity of light emerging from a polarizing sheet is. 0.550 W/m², and the average intensity of the horizontally polarized light incident on the sheet is 0.940 W/m². Determine the angle that the transmission axis of the polarizing sheet makes with the horizontalarrow_forwardwe measure an At a particular moment in time and space, electromagnetic wave's electric and magnetic fields. We find the electric field & pointing North and the magnetic field B pointing Down. What is the direction of wave propagation? a. South b. West C. c. Up d. Down e. East f. North.arrow_forward
- Hello, please help with how to calculate impact velocity and rebound velocity. Thanks!arrow_forwardA object of mass 3.00 kg is subject to a force FX that varies with position as in the figure below. Fx (N) 4 3 2 1 x(m) 2 4 6 8 10 12 14 16 18 20 i (a) Find the work done by the force on the object as it moves from x = 0 to x = 5.00 m. J (b) Find the work done by the force on the object as it moves from x = 5.00 m to x = 11.0 m. ] (c) Find the work done by the force on the object as it moves from x = 11.0 m to x = 18.0 m. J (d) If the object has a speed of 0.400 m/s at x = 0, find its speed at x = 5.00 m and its speed at x speed at x = 5.00 m speed at x = 18.0 m m/s m/s = 18.0 m.arrow_forwardAn EL NIÑO usually results in Question 8Select one: a. less rainfall for Australia. b. warmer water in the western Pacific. c. all of the above. d. none of the above. e. more rainfall for South America.arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning





