Physics of Everyday Phenomena
Physics of Everyday Phenomena
9th Edition
ISBN: 9781259894008
Author: W. Thomas Griffith, Juliet Brosing Professor
Publisher: McGraw-Hill Education
bartleby

Videos

Question
Book Icon
Chapter 20, Problem 1SP

(a)

To determine

To draw the vector diagram of motion of a boat across stream and the velocity of the boat relative to water.

(a)

Expert Solution
Check Mark

Answer to Problem 1SP

The vector diagram is shown in the figure 1 and the velocity of the boat relative to water is labelled as vsum.

Explanation of Solution

Given info: The velocity of the boat in still water is 7 m/s. The velocity of the stream is 3m/s and the width of the stream is 28 m.

Following figure gives the diagram of the vector form of the motion of boat across the figure.

Physics of Everyday Phenomena, Chapter 20, Problem 1SP

Figure 1

The figure 1 shows the velocity of water as vw and the velocity of the boat as vb. The resultant of the two vectors gives the velocity of the boat relative to water is labelled as vsum.

Conclusion:

Therefore, the vector diagram is shown in the figure 1 and the velocity of the boat relative to water is labelled as vsum.

(b)

To determine

To determine the magnitude of the velocity of boat relative to the Earth.

(b)

Expert Solution
Check Mark

Answer to Problem 1SP

The magnitude of the velocity of boat relative to the Earth is 7.6 m/s.

Explanation of Solution

Write the expression to find the magnitude of the resultant of two vectors vw and vb using Pythagorean Theorem.

vsum=vb2+vw2

Here,

vsum is the velocity of the boat relative to water

vb is the velocity of the boat

vw is the velocity of water

Substitute 7 m/s for vb and 3m/s for vw in the above equation.

vsum=(7 m/s)2+(3m/s)2=7.6 m/s

Conclusion:

Therefore, the magnitude of the velocity of boat relative to the Earth is 7.6 m/s.

(c)

To determine

To determine the time taken for the boat to cross the stream.

(c)

Expert Solution
Check Mark

Answer to Problem 1SP

The time taken for the boat to cross the stream is 4s.

Explanation of Solution

Write the expression for the time taken for boat to cross the stream.

t=dv

Here,

d is the width of the stream

v is the velocity of the boat

t is the time taken

Substitute 28 m for d and 7 m/s for v in the above equation.

t=28 m7 m/s=4 s

Conclusion:

Therefore, the time taken for the boat to cross the stream is 4s.

(d)

To determine

To determine the distance from starting point till the ending point along the downward flow of the stream.

(d)

Expert Solution
Check Mark

Answer to Problem 1SP

The distance from starting point till the ending point along the downward flow of the stream is 12 m.

Explanation of Solution

Write the expression to find the distance of the between the starting and ending point of the boat along the flow of the stream.

d=vt

Here,

d is the distance of the between the starting and ending point

v is the velocity of the water

t is the time taken

Substitute 4 s for t and 3m/s for v in the above equation.

d=(3m/s)(4 s)=12 m

Conclusion:

Therefore, the distance from starting point till the ending point along the downward flow of the stream is 12 m.

(e)

To determine

To determine the distance travelled by the boat before reaching the opposite bank.

(e)

Expert Solution
Check Mark

Answer to Problem 1SP

The distance travelled by the boat before reaching the opposite bank is 30.5 m.

Explanation of Solution

Write the expression to find the magnitude of the resultant of two vectors dw and db using Pythagorean Theorem.

dsum=db2+dw2

Here,

dsum is the distance travelled by the boat before reaching the opposite bank

db is the distance travelled by the boat from starting to ending point along the river

dw is the width of the stream

Substitute 12 m for db and 28 m for dw in the above equation.

vsum=(12 m)2+(28 m)2=30.5 m

Conclusion:

Therefore, the distance travelled by the boat before reaching the opposite bank is 30.5 m.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
A plane leaves Seattle, flies 85.0 mimi at 20.0 ∘∘ north of east, and then changes direction to 51.0 ∘∘ south of east. After flying at 125 mimi in this new direction, the pilot must make an emergency landing on a field. The Seattle airport facility dispatches a rescue crew. A.) In what direction should the crew fly to go directly to the field? Use components to solve this problem. B.) How far should the crew fly to go directly to the field? Use components to solve this problem.
2
An object is moving between two points on a circle with radius R. The object can only move along the circle. The function F is the path length travelled between two points on the circle. a. Assume that the position of the object along the circle is described by an angle θ with respect to the center of the circle and the x-axis. Is this angle a minimum set of generalized coordinates for this problem? b. Assume that the position of the object along the circle is described by two Cartesian coordinates x and y, where the origin of the coordinate system is the center of the circle. Are these coordinates a minimum set of generalized coordinates for this problem? c. What would be the holonomic constraint for the two Cartesian coordinates x and y for the motion around the circle? d. What would be the Euler equation for this problem in Cartesian coordinates with holonomic constraint and Lagrange multiplier λ.
Knowledge Booster
Background pattern image
Physics
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
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Text book image
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Time Dilation - Einstein's Theory Of Relativity Explained!; Author: Science ABC;https://www.youtube.com/watch?v=yuD34tEpRFw;License: Standard YouTube License, CC-BY