Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 4, Problem 4.51P
A river flows with a steady speed v. A student swims upstream a distance d and then back to the starling point. The student can swim at speed c in still water. (a) In terms of d, v, and c, what time interval is required for the round trip? (b) What time interval would be required if the water were still? (c) Which time interval is larger? Explain whether it is always larger.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Most important in an investigation of an airplane crash by the U.S. National Transportation Safety Board is the data stored on the airplane’s flight-data recorder, commonly called the “black box” in spite of its orange coloring and reflective tape.The recorder is engineered to withstand a crash with an average deceleration of magnitude 3450 g during a time interval of 6.49 ms. In such a crash, if the recorder and airplane have zero speed at the end of that time interval, what is their speed at the beginning of the interval?
Hello,
(a) In what direction would the ship in Exercise 3.57 have to travel in order to have a velocity straight north relative to the Earth, assuming its speed relative to the water remains 7.00 m/s
(b) What would its speed be relative to the Earth?fully is what you're asking for.
Exeecise 3.57 is provided below:
A ship sets sail from Rotterdam, The Netherlands, heading due north at 7.00 m/s relative to the water. The local ocean current is 1.50 m/s in a direction 40.0º north of east. What is the velocity of the ship relative to the Earth?
Suppose that a ball is thrown straight up in the air, and that a secondball is thrown straight upward two seconds after the first. It reaches thesame maximum height as the first ball.a. What is the position of the first ball as a function of time, y1(t)?Take the initial height of the ball as y0 = 0.b. What is the position of the second ball as a function of time, y2(t)?Take the initial height of the ball as y0 = 0.c. Draw a y − t diagram of y1(t) and y2(t). Label the max heights, timeto max height for the first ball, and note the point corresponding to thetime and height of passing.d. When do the balls pass each other in the air? Assume the balls arebeing throw up adjacent to each other.e. At what height above y0 = 0 do the balls pass each other?f. Can you find the time of passing by just using the y − t diagram?
Chapter 4 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 4 - Consider the following controls in an automobile...Ch. 4 - (i) As a projectile thrown at an upward angle...Ch. 4 - Rank the launch angles for the five paths in...Ch. 4 - A particle moves in a circular path of radius r...Ch. 4 - A particle moves along a path, and its speed...Ch. 4 - Figure OQ4.1 shows a bird's-eye view of a car...Ch. 4 - Entering his dorm room, a student tosses his book...Ch. 4 - A student throws a heavy red ball horizontally...Ch. 4 - A projectile is launched on the Earth with a...Ch. 4 - Does a car moving around a circular track with...
Ch. 4 - An astronaut hits a golf ball on the Moon. Which...Ch. 4 - A projectile is launched on the Earth with a...Ch. 4 - A girl, moving at 8 m/s on in-line skates, is...Ch. 4 - A sailor drops a wrench front the top of a...Ch. 4 - A baseball is thrown from the outfield toward the...Ch. 4 - Prob. 4.11OQCh. 4 - Prob. 4.12OQCh. 4 - In which of the following situations is the moving...Ch. 4 - Prob. 4.1CQCh. 4 - Ail ice skater is executing a figure eight,...Ch. 4 - If you know the position vectors of a particle at...Ch. 4 - Describe how a driver can steer a car traveling at...Ch. 4 - Prob. 4.5CQCh. 4 - Prob. 4.6CQCh. 4 - Explain whether or not the following particles...Ch. 4 - A motorist drives south at 20.0 m/s for 3.00 min,...Ch. 4 - When the Sun is directly overhead, a hawk dives...Ch. 4 - Suppose the position vector for a particle is...Ch. 4 - The coordinates of an object moving in the xy...Ch. 4 - A golf ball is hit off a tee at the edge of a...Ch. 4 - A particle initially located at the origin has an...Ch. 4 - The vector position of a particle varies in time...Ch. 4 - It is not possible to see very small objects, such...Ch. 4 - A fish swimming in a horizontal plane has velocity...Ch. 4 - Review. A snowmobile is originally at the point...Ch. 4 - Mayan kings and many school sports teams are named...Ch. 4 - An astronaut on a strange planet finds that she...Ch. 4 - In a local bar, a customer slides an empty beer...Ch. 4 - In a local bar. a customer slides an empty beer...Ch. 4 - A projectile is fired in such a way that its...Ch. 4 - To start an avalanche on a mountain slope, an...Ch. 4 - Chinook salmon are able to move through water...Ch. 4 - A rock is thrown upward from level ground in such...Ch. 4 - The speed of a projectile when it reaches its...Ch. 4 - A ball is tossed from an upper-story window of a...Ch. 4 - A firefighter, a distance d from a burning...Ch. 4 - A landscape architect is planning an artificial...Ch. 4 - A placekicker must kick a football from a point...Ch. 4 - A basketball star covers 2.80 m horizontally in a...Ch. 4 - A playground is on the flat roof of a city school,...Ch. 4 - The motion of a human body through space can be...Ch. 4 - A soccer player kicks a rock horizontally off a...Ch. 4 - A projectile is fired from the top of a cliff of...Ch. 4 - A student stands at the edge of a cliff and throws...Ch. 4 - The record distance in the sport of throwing...Ch. 4 - A boy stands on a diving board and tosses a stone...Ch. 4 - A home run is hit in such a way that the baseball...Ch. 4 - The athlete shown in Figure P4.21 rotates a...Ch. 4 - In Example 4.6, we found the centripetal...Ch. 4 - Casting molten metal is important in many...Ch. 4 - A tire 0.500 m in radius rotates at a constant...Ch. 4 - Review. The 20-g centrifuge at NASAs Ames Research...Ch. 4 - An athlete swings a ball, connected to the end of...Ch. 4 - The astronaut orbiting the Earth in Figure P4.19...Ch. 4 - Section 4.5 Tangential and Radial Acceleration...Ch. 4 - A train slows down as it rounds a sharp horizontal...Ch. 4 - A ball swings counterclockwise in a vertical...Ch. 4 - (a) Can a particle moving with instantaneous speed...Ch. 4 - The pilot of an airplane notes that the compass...Ch. 4 - An airplane maintains a speed of 630 km/h relative...Ch. 4 - A moving beltway at an airport has a speed 1 and a...Ch. 4 - A police car traveling at 95.0 km/h is traveling...Ch. 4 - A car travels due east with a speed of 50.0 km/h....Ch. 4 - A bolt drops from the ceiling of a moving train...Ch. 4 - A river has a steady speed of 0.500 m/s. A student...Ch. 4 - A river flows with a steady speed v. A student...Ch. 4 - A Coast Guard cutter detects an unidentified ship...Ch. 4 - A science student is riding on a flatcar of a...Ch. 4 - A farm truck moves due east with a constant...Ch. 4 - A ball on the end of a string is whirled around in...Ch. 4 - A ball is thrown with an initial speed i at an...Ch. 4 - Why is the following situation impassible? A...Ch. 4 - A particle starts from the origin with velocity...Ch. 4 - The Vomit Comet. In microgravity astronaut...Ch. 4 - A basketball player is standing on the floor 10.0...Ch. 4 - Lisa in her Lamborghini accelerates at...Ch. 4 - A boy throws a stone horizontally from the top of...Ch. 4 - A flea is at point on a horizontal turntable,...Ch. 4 - Towns A and B in Figure P4.64 are 80.0 km apart. A...Ch. 4 - A catapult launches a rocket at an angle of 53.0...Ch. 4 - A cannon with a muzzle speed of 1 000 m/s is used...Ch. 4 - Why is the following situation impossible? Albert...Ch. 4 - As some molten metal splashes, one droplet flies...Ch. 4 - An astronaut on the surface of the Moon fires a...Ch. 4 - A pendulum with a cord of length r = 1.00 m swings...Ch. 4 - A hawk is flying horizontally at 10.0 m/s in a...Ch. 4 - A projectile is launched from the point (x = 0, y...Ch. 4 - A spring cannon is located at the edge of a table...Ch. 4 - An outfielder throws a baseball to his catcher in...Ch. 4 - A World War II bomber flies horizontally over...Ch. 4 - A truck loaded with cannonball watermelons stops...Ch. 4 - A car is parked on a steep incline, making an...Ch. 4 - An aging coyote cannot run fast enough to catch a...Ch. 4 - A fisherman sets out upstream on a river. His...Ch. 4 - Do not hurt yourself; do not strike your hand...Ch. 4 - A skier leaves the ramp of a ski jump with a...Ch. 4 - Two swimmers, Chris and Sarah, start together at...Ch. 4 - The water in a river flows uniformly at a constant...Ch. 4 - A person standing at the top of a hemispherical...Ch. 4 - A dive-bomber has a velocity or 280 m/s at ail...Ch. 4 - A projectile is fired up an incline (incline angle...Ch. 4 - A fireworks rocket explodes at height h, the peak...Ch. 4 - In the What If? section of Example 4.5, it was...Ch. 4 - An enemy ship is on the east side of a mountain...
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
- In a local diner, a customer slides an empty coffee cup down the counter for a refill. The cup slides off the counter and strikes the floor at distance d from the base of the counter. (a) If the height of the counter is h, find an expression for the time t it takes the cup to fall to the floor in terms of the variables h and g. t = (b) With what speed does the mug leave the counter? Answer in terms of the variables d, g, and h. v1 = (c) In the same terms, what is the speed of the cup immediately before it hits the floor? v2 = (d) In terms of h and d, what is the direction of the cup's velocity immediately before it hits the floor? ? = radiansarrow_forwardA woman can row a boat at 6.40 km/h in still water. (a) If she is crossing a river where the current is 3.20 km/h, in what direction must her boat be headed if she wants to reach a point directly opposite her starting point? (b) If the river is 6.40 km wide, how long will she take to cross the river? (c) Suppose that instead of crossing the river she rows 3.20 km down the river and then back to her starting point. How long will she take? (d) How long will she take to row 3.20 km up the river and then back to her starting point? (e) In what direction should she head the boat if she wants to cross in the shortest possible time, and what is that time?arrow_forwardAt one instant, a bicyclist is 50 m due east of a park's flagpole, going due south with a speed of 18 m/s. Then, 13 s later, the cyclist is 45 m due north of the flagpole, going due east with a speed of 13 m/s. For the cyclist in this 13 s interval, what is the displacement (m) and direction north of west, average velocity (m/s) and direction north of west and the average acceleration and direction north of east?arrow_forward
- In a local diner, a customer slides an empty coffee cup down the counter for a refill. The cup slides off the counter and strikes the floor at distance d from the base of the counter. If the height of the counter is h, (a) find an expression for the time t it takes the cup to fall to the floor in terms of the variables h and g. (b) With what speed does the mug leave the counter? Answer in terms of the variables , g, and h. (c) In the same terms, what is the speed of the cup immediately before it hits the floor? (d) In terms of h and d, what is the direction of the cup’s velocity immediately before it hits the floor?arrow_forwardUse a graphing utility to generate the trajectory of a paper airplane whose equations of motion for t ≥ 0 arex = t − 2 sin t, y = 3 − 2 cos t Assuming that the plane flies in a room in which the floor is at y = 0, explain why the plane will not crashinto the floor. [For simplicity, ignore the physical size of the plane by treating it as a particle.] How high must the ceiling be to ensure that the plane does not touch or crash into it?arrow_forwardA rescue helicopter is hovering over a person whose sailboat has capsized. One of the rescuers tosses a life preserver straight down to the person with an initial speed of 1.25 m/s and observes that it takes 1.75 s to reach the water. How high above the water was the preserver released? Note that the downdraft of the helicopter reduces the effect of air resistance on the falling life preserver, so that an acceleration equal to that due to gravity is reasonable.arrow_forward
- A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 15.0 m/s. The cliff is h = 36.0 m above a flat, horizontal beach. (a) What are the coordinates of the initial position of the stone? x0: y0: (b) What are the components of the initial velocity? v0x: v0y: (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) vx: vy: (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) x= y= (e) How long after being released does the stone strike the beach below the cliff? (f) With what speed and angle of impact does the stone land? vf= 0-: (theta):arrow_forwardA river has a steady speed of vs. A student swims upstream a distance d and back to the starting point. (a) If the student can swim at a speed of v in still water, how much time tup does it take the student to swim upstream a distance d? Express your answer in terms of d, v, and vs. tup = (b) Using the same variables, how much time tdown does it takes to swim back downstream to the starting point? tdown = (c) Sum the answers found in parts (a) and (b) and show that the time ta required for the whole trip can be written as (Do this on paper. Your instructor may ask you to turn in this work.)(d) How much time tb does the trip take in still water? tb =arrow_forwardA hollow plastic ball is projected into the air. There is significant air resistance opposing the ball’s motion, so the magnitude of the ball’s acceleration is not equal to g. At time t, the ball is moving up and to the right at an angle of 45° to the horizontal, as shown above. Which of the following best shows the magnitude a and the direction of the ball’s acceleration at time t? a C b A c B d Darrow_forward
- student stands at the edge of a cliff and throws a stone horizontally over the edgewith a speed of 18.0 m/s. The cliff is 50.0 m above a flat, horizontal beach as shown inFigure P3.7. (a) What are the coordinates of the initial position of the stone? (b) Whatare the components of the initial velocity? (c) Write the equations for the x- and ycomponents of the velocity of the stone with time, (d) Write the equations for theposition of the stone with time, using the coordinates in Figure P3.7. (e) How longafter being released does the stone strike the beach below the cliff? (f) With whatspeed and angle of impact does the stone land?arrow_forwardA glider is initially moving at a constant height of 3.76 m. It is suddenly subject to a wind such that its velocity at a later time t can be described by the equation v(t) = 16.18 − 7.78(1 + t) + 0.70t3, where v and its components are in meters per second, t is in seconds, and the z axis is perpendicular to the level ground. (a) What was the initial velocity of the glider? (Express your answer in vector form.) vi = m/s(b) Write an expression for the acceleration of the glider in component form when t = 2.14 s. (Express your answer in vector form.) a(t = 2.14 s) = m/s2arrow_forwardThe record distance in the sport of throwing cowpats is81.1 m. This record toss was set by Steve Urner of the UnitedStates in 1981. Assuming the initial launch angle was 45°and neglecting air resistance, determine (a) the initial speedof the projectile and (b) the total time the projectile was inflight. (c) Qualitatively, how would the answers change if thelaunch angle were greater than 45°? Explain.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY