Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 42P
A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 2.35 m high, and from there it will fall into a pool (Fig. P3.42). (a) Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, which is one-twelfth actual size. How fast should the water flow in the channel in the model?
Figure P3.42
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A landscape architect is planning an artificial waterfall in a city park. Water flowing at 0.562 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 2.25 m
(a) How far from the wall will the water land?
find m
Will the space behind the waterfall be wide enough for a pedestrian walkway? (Assume the water must land 2 m from the wall to provide adequate space for a person to walk beneath the waterfall.)
Yes or No ?
(b) To sell her plan to the city council, the architect wants to build a model to standard scale, one-seventeenth actual size. How fast should the water flow in the channel in the model?
Find m/s
Please show me how you got the answer, thank you :)
Use the component method to add the vectors A
and B shown in Figure P3.9. Both vectors have mag-
nitudes of 3.00 m and vector A makes an angle of
0 = 30.0° with the x axis. Express the resultant Á + B in
unit-vector notation.
You are working as an assistant to a landscape architect, who is planning an artificial waterfall in a city park. Water flowing at 1.88 m/s will leave the end of a horizontal channel at the top of a vertical wall
h = 3.10 m
high, and from there it will fall into a pool (see the figure below).
(a)
The architect has asked you to determine if the space behind the waterfall will be wide enough for a pedestrian walkway. (Enter the maximum width, in meters, of a walkway behind the waterfall.)
m
(b)
To sell her plan to the city council, the architect wants to build a model to standard scale, which is one-twelfth actual size. She asks you to design and build the model, with the important question being: how fast (in m/s) should the water flow in the channel in the model?
m/s
Chapter 3 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 3.1 - Consider the following controls in an automobile...Ch. 3.3 - (i) As a projectile thrown upward moves in its...Ch. 3.3 - Rank the launch angles for the five paths in...Ch. 3.4 - Which of the following correctly describes the...Ch. 3.5 - A particle moves along a path, and its speed...Ch. 3 - In which of the following situations is the moving...Ch. 3 - A rubber stopper on the end of a string is swung...Ch. 3 - Figure OQ3.3 shows a birds-eye view of a car going...Ch. 3 - Entering his dorm room, a student tosses his book...Ch. 3 - Does a car moving around a circular track with...
Ch. 3 - An astronaut hits a golf ball on the Moon. Which...Ch. 3 - A projectile is launched on the Earth with a...Ch. 3 - A baseball is thrown from the outfield toward the...Ch. 3 - A student throws a heavy red ball horizontally...Ch. 3 - A sailor drops a wrench from the top of a...Ch. 3 - A set of keys on the end of a string is swung...Ch. 3 - Prob. 12OQCh. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - Prob. 3CQCh. 3 - Prob. 4CQCh. 3 - Prob. 5CQCh. 3 - Prob. 6CQCh. 3 - A projectile is launched at some angle to the...Ch. 3 - A motorist drives south at 20.0 m/s for 3.00 min,...Ch. 3 - Prob. 2PCh. 3 - A particle initially located at the origin has an...Ch. 3 - It is not possible to see very small objects, such...Ch. 3 - A fish swimming in a horizontal plane has velocity...Ch. 3 - At t = 0, a particle moving in the xy plane with...Ch. 3 - Mayan kings and many school sports teams are named...Ch. 3 - The small archerfish (length 20 to 25 cm) lives in...Ch. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - A firefighter, a distance d from a burning...Ch. 3 - A soccer player kicks a rock horizontally off a...Ch. 3 - Prob. 18PCh. 3 - A student stands at the edge of a cliff and throws...Ch. 3 - Prob. 20PCh. 3 - A playground is on the flat roof of a city school,...Ch. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - As their booster rockets separate, Space Shuttle...Ch. 3 - Prob. 26PCh. 3 - The astronaut orbiting the Earth in Figure P3.27...Ch. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - A point on a rotating turntable 20.0 cm from the...Ch. 3 - Figure P3.31 represents the total acceleration of...Ch. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - A certain light truck can go around an unbanked...Ch. 3 - A landscape architect is planning an artificial...Ch. 3 - Why is the following situation impassible? A...Ch. 3 - An astronaut on the surface of the Moon fires a...Ch. 3 - The Vomit Comet. In microgravity astronaut...Ch. 3 - A projectile is fired up an incline (incline angle...Ch. 3 - A basketball player is standing on the floor 10.0...Ch. 3 - A truck loaded with cannonball watermelons stops...Ch. 3 - A ball on the end of a string is whirled around in...Ch. 3 - An outfielder throws a baseball to his catcher in...Ch. 3 - Prob. 51PCh. 3 - A skier leaves the ramp of a ski jump with a...Ch. 3 - A World War II bomber flies horizontally over...Ch. 3 - A ball is thrown with an initial speed vi at an...Ch. 3 - Prob. 55PCh. 3 - A person standing at the top of a hemispherical...Ch. 3 - An aging coyote cannot run fast enough to catch a...Ch. 3 - Prob. 58PCh. 3 - The water in a river flows uniformly at a constant...Ch. 3 - Prob. 61P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at angle i above the horizontal as shown in Figure P3.16. If the initial speed of the stream is vi, at what height h does the water strike the building? Figure P3.16arrow_forwardA landscape architect is planning an artificial waterfall in a city park. Water flowing at 0.750 m/s leaves the end of a horizontal channel at the top of a vertical wall h = 2.35 m high and falls into a pool. (a) How far from the wall will the water land? Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, one-twelfth actual size. How fast should the water flow in the channel in the model?arrow_forwardThe very large water tank in Fig. P3.147 is dischargingthrough a 4-in-diameter pipe. The pump is running, with aperformance curve h p ≈ 40 - 4 Q 2 , with h p in feet and Q inft 3 /s. Estimate the discharge fl ow rate in ft 3 /s if the pipefriction loss is 1.5( V 2 /2 g ).arrow_forward
- A landscape architect is planning an artificial waterfall in a city park. Water flowing at 0.750 m/s leaves the end of a horizontal channel at the top of a vertical wall h = 2.35 m high and falls into a pool (Fig. P3.54). (a) How far from the wall will the water land? Will the space behind the waterfall be wide enough for a pedes- trian walkway? (b) To sell her plan to the city council, the architect wants to build a model Figure P3.54 to standard scale, one-twelfth actual size. How fast should the water flow in the channel in the model?arrow_forwardThe town of Calculusville is 95 m above sea level and the town of Vectorville is 178 m above sea level. The two towns are 4.8 km apart along a straight, smooth road. A family decides to move from Calculusville to Vectorville. They pack all their belongings in a trailer hitched to their SUV. The SUV pulls the trailer up the road using a force, in newtons, defined by the vector F = [25 000, 14 000]. a) Find the force drawing the trailer up the hill and the force, perpendicular to the hill, tending to lift it. b) What is the work done by the SUV in pulling the trailer up the hill? What is the work done in raising the altitude of the trailer? d) Explain why your answers to parts b) and c) are different.arrow_forwardP3.16 An incompressible fluid flows past an impermeable flat plate, as in Fig. P3.16, with a uniform inlet profile u = Up and a cubic polynomial exit profile u≈ U where n = 916 =© Compute the volume flow Q across the top surface of the control volume. Uo y=8 Solid plate, width b into paper Q? Up CV Cubicarrow_forward
- A landscape architect is planning an artificial waterfall in a city park. Water flowing at 0.536 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 2.40 m high and falls into a pool (see figure). (a) How far from the wall will the water land? m Will the space behind the waterfall be wide enough for a pedestrian walkway? (Assume the water must land 2 m from the wall to provide adequate space for a person to walk beneath the waterfall.) Yes No (b) To sell her plan to the city council, the architect wants to build a model to standard scale, one-fifteenth actual size. How fast should the water flow in the channel in the model? m/sarrow_forwardA radar station sends a signal to a ship which is located a distance 13.8 kilometers from the station at bearing 136° clockwise from the north. At the same moment, a helicopter is at a horizontal range of 19.6 kilometers, at bearing 146° clockwise from the north, with an elevation of 2.56 kilometers. Let east be the î direction, north be the ĵ direction, and up be the direction. a) What If? The ship begins to sink at a rate of 5.50 m/s. Write the position vector (in km) of the ship relative to the helicopter as a function of time as the ship sinks. Assume that the helicopter remains hovering at its initial position and that the sinking rate remains the same even after the ship sinks under the surface.arrow_forwardI need help on this problem: A pipe discharges storm water into a creek. Water flows horizontally out of the pipe at 1.9m/s, and the end of the pipe is 3.5m above the creek. How far out from the end of the pipe is the point where the stream of water meets the creek? Express your answer with the appropriate units.arrow_forward
- A car comes to a bridge during a storm and finds the bridge washed out. The driver must get to the other side, so he decides to try leaping it with his car. The side the car is on is 20.3 mm above the river, whereas the opposite side is a mere 1.6 mm above the river. The river itself is a raging torrent 57.0 mm wide. For help with math skills, you may want to review: Vector Magnitudes For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Different initial and final heights. a. How fast should the car be traveling just as it leaves the cliff in order to just clear the river and land safely on the opposite side? Express your answer in meters per second. b. What is the speed of the car just before it lands safely on the other side? Express your answer in meters per second.arrow_forwardA car comes to a bridge during a storm and finds the bridge washed out. The driver must get to the other side, so he decides to try leaping it with his car. The side the car is on is 18.3 m above the river, whereas the opposite side is a mere 1.5 m above the river. The river itself is a raging torrent 57.0 m wide. For help with math skills, you may want to review: Vector Magnitudes For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Different initial and final heights. How fast should the car be traveling just as it leaves the cliff in order to just clear the river and land safely on the opposite side? Express your answer in meters per second. View Available Hint(s) v0 = Submit [5] ΑΣΦ Part B V = X Incorrect; Try Again; 7 attempts remaining Previous Answers Request Answer Submit poz What is the speed of the car just before it lands safely on the other side? Express your answer in meters per second. ► View Available Hint(s) 15]…arrow_forwardA rectangular parallelepiped has dimensions a, b, and c as shown in Figure P3.45. (a) Obtain a vector expression for the face diagonal vector R,. (b) What is the magnitude of this vector? (c) Notice that R, ck, and R, make a right triangle. Obtain a vector expression for the body diagonal vector R2. b Ro R1 Figure P3.45arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY