1. A boat can be rowed at VBW = 7.5 km/h in still water. Assume that all quantities are correct to 2 significant figures. (a) How much time is required to row 1.1 km downstream (East) in a river moving ✓ws = 3.4 km/h relative to the shore? Think & Prepare In all the questions below, think about motion from the point of view of an observer on the boat and the point of view of an observer on the shore. 1. The motion of the boat on water Vgw is the velcoity of the boat from the point of view of the observer on the boat. V Bw = 7.5 km/h. Owe back... 2. Let the velocity of the river with respect to an observer on the shore be Vws = 3.4 km/h 3. The velocity of the boat as seen from the shore, Vas takes into account the motion of the river. VBS = VoW+Vws Enter to 2 significant figures Time required to row 1.1 downstream = [ Think for part (a) When going downstream, the velocity of the boat as observed from the shore will increase or decrease compared to its value in still water? By how much? (b) How much time is required for the return trip? Enter to 2 significant figures Time for the return trip = [ min min

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 76P: A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h,...
icon
Related questions
Question

PLEASE ANSWER ALL PARTS AND I WILL RATE HIGHLY! *17

1. A boat can be rowed at Bw = 7.5 km/h in still water.
BW
Assume that all quantities are correct to 2 significant figures.
(a) How much time is required to row 1.1 km downstream (East) in a river moving ✓ws = 3.4 km/h
relative to the shore?
WS
Think & Prepare
In all the questions below, think about motion from the point of view of an observer on the boat and
the point of view of an observer on the shore.
BW
1. The motion of the boat on water v is the velcoity of the boat from the point of view of the
observer on the boat. V BW = 7.5 km/h.
Owe back...
2. Let the velocity of the river with respect to an observer on the shore be v ws
BS
3. The velocity of the boat as seen from the shore, Bs takes into account the motion of the river.
VBS = V BW + VWS
Enter to 2 significant figures
Time required to row 1.1 downstream =
Think for part (a)
When going downstream, the velocity of the boat as observed from the shore will increase or
decrease compared to its value in still water? By how much?
(b) How much time is required for the return trip?
Enter to 2 significant figures
Time for the return trip
=
min
min
= 3.4 km/h
Screen Shot
Screen Shot
Screen S
(c) In what direction must the boat be aimed to row straight across the river? Express the angle in
degrees measured West of North.
Think & Prepare for part (c)
1. If the boat needs to take a straight path across the width of the river as seen by an observer on the
shore, it should head at an angle as shown in the figure to account for the motion of the river.
2. In the figure below, the identify the vector showing the velocity of the boat on water v BW (7.5
km/h)? Is it the hypotenuse or one of the other sides of the triangle?
3. How can you calculate the angle from the two velocities given to you in the problem?
4. You can use the angle and the width of the river to calculate the remaining quantities in (d).
Enter to 2 significant figures
Direction of boat =
Vws
Lune (
BW
0
VBS
° West of North.
(d) Suppose the river is 0.8 km wide. What is the velocity of the boat with respect to shore and how
much time is required to get to the opposite shore?
Enter to 2 significant figures
E
[
Transcribed Image Text:1. A boat can be rowed at Bw = 7.5 km/h in still water. BW Assume that all quantities are correct to 2 significant figures. (a) How much time is required to row 1.1 km downstream (East) in a river moving ✓ws = 3.4 km/h relative to the shore? WS Think & Prepare In all the questions below, think about motion from the point of view of an observer on the boat and the point of view of an observer on the shore. BW 1. The motion of the boat on water v is the velcoity of the boat from the point of view of the observer on the boat. V BW = 7.5 km/h. Owe back... 2. Let the velocity of the river with respect to an observer on the shore be v ws BS 3. The velocity of the boat as seen from the shore, Bs takes into account the motion of the river. VBS = V BW + VWS Enter to 2 significant figures Time required to row 1.1 downstream = Think for part (a) When going downstream, the velocity of the boat as observed from the shore will increase or decrease compared to its value in still water? By how much? (b) How much time is required for the return trip? Enter to 2 significant figures Time for the return trip = min min = 3.4 km/h Screen Shot Screen Shot Screen S (c) In what direction must the boat be aimed to row straight across the river? Express the angle in degrees measured West of North. Think & Prepare for part (c) 1. If the boat needs to take a straight path across the width of the river as seen by an observer on the shore, it should head at an angle as shown in the figure to account for the motion of the river. 2. In the figure below, the identify the vector showing the velocity of the boat on water v BW (7.5 km/h)? Is it the hypotenuse or one of the other sides of the triangle? 3. How can you calculate the angle from the two velocities given to you in the problem? 4. You can use the angle and the width of the river to calculate the remaining quantities in (d). Enter to 2 significant figures Direction of boat = Vws Lune ( BW 0 VBS ° West of North. (d) Suppose the river is 0.8 km wide. What is the velocity of the boat with respect to shore and how much time is required to get to the opposite shore? Enter to 2 significant figures E [
Enter to 2 significant figures
km/hr
BS
Time required to get to the opposite shore =
Enter to 2 significant figures
(e) Suppose, instead, the boat is aimed straight across the river. How much time is required to get
across and how far downstream is the boat when it reaches the opposite shore?
Think & Prepare:
1. If the boat aims a straight path across the width of the river with VBW (7.5 km/h) in the figure
below, identify the direction of velocity v Bs as seen by an observer on the shore in the figure taking
into account for the motion of the river. Is it the hypotenuse or one of the other sides of the triangle?
BS
3. How can you calculate the angle from the two velocities given to you in the problem?
4. You can use the angle and the width of the river to calculate the remaining quantities.
VBW
0
VWs
min
VBS
Time required to get to the opposite shore heading straight =
Distance downstream =
km
Owe back...
min
Transcribed Image Text:Enter to 2 significant figures km/hr BS Time required to get to the opposite shore = Enter to 2 significant figures (e) Suppose, instead, the boat is aimed straight across the river. How much time is required to get across and how far downstream is the boat when it reaches the opposite shore? Think & Prepare: 1. If the boat aims a straight path across the width of the river with VBW (7.5 km/h) in the figure below, identify the direction of velocity v Bs as seen by an observer on the shore in the figure taking into account for the motion of the river. Is it the hypotenuse or one of the other sides of the triangle? BS 3. How can you calculate the angle from the two velocities given to you in the problem? 4. You can use the angle and the width of the river to calculate the remaining quantities. VBW 0 VWs min VBS Time required to get to the opposite shore heading straight = Distance downstream = km Owe back... min
Expert Solution
steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Knowledge Booster
Relative velocity
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
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill