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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

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

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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
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