Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 3, Problem 32P
To determine
Direction to travel straight across the river
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A swimmer, capable of swimming at a speed of 1.13 m/s in still water (i.e., the swimmer can swim with a speed of 1.13 m/s relative to
the water), starts to swim directly across a 2.41-km-wide river. However, the current is 1.42 m/s, and it carries the swimmer
downstream. (a) How long does it take the swimmer to cross the river? (b) How far downstream will the swimmer be upon reaching
the other side of the river?
(a) Number
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(b) Number
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A pilot wishes to fly his plane to an airport north of his current location.The plane has a speed of 290m/s.
1)If he is confronted by a wind blowing east of 50m/s,in what direction will he need to head in order to reach the desired destination?
2)How long will it take him to reach the airport if it is 800km away?
A ferryboat has a still water speed of 10.3 km/hr. Its helmsman steers the boat due north across a river that runs with a current of 5.2 km/hr east. If the trip lasts 1.5 hr, how wide is the river? How far east does the ferry travel during the trip?
Chapter 3 Solutions
Physics Fundamentals
Ch. 3 - Prob. 1QCh. 3 - Prob. 2QCh. 3 - Prob. 3QCh. 3 - Prob. 4QCh. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - Prob. 8QCh. 3 - Prob. 1PCh. 3 - Prob. 2P
Ch. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 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 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 52PCh. 3 - Prob. 53PCh. 3 - Prob. 54PCh. 3 - Prob. 55P
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- A man can swim with a speed of 4.0 km/h in still water. How long does he take to cross a river 1.0 km wide if the river flows steadily at 3.0 km/h and he makes his strokes normal to the river current? How far down the river does he go when he reaches the other bank?arrow_forwardAn airplane pilot wishes to fly due west. A wind of 90.0 km/h is blowing toward the south. If the airspeed of the plane (its speed in still air) is 375.0 km/h , in which direction should the pilot head? What is the speed of the plane over the ground?arrow_forwardA swimmer heading directly across a river 200 m wide reaches the opposite bank in 3 min 20 s. She is swept downstream 480 m. What is the speed of the current?arrow_forward
- A boat can be rowed at 8.0 km/h in still water. (a) How much time is required to row 1.5 km downstream in a river moving 3.0 km/h relative to the shore? (b) How much time is required for the return trip? (c) In what direction must the boat be aimed to row straight across the river? (d) Suppose the river is 0.8 km wide. What is the velocity of the boat with respect to Earth and how much time is required to get to the opposite shore? (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?arrow_forwardA boat has an initial heading and speed of 40.0 m/s [75 degrees South of West]. It is in a river that has a current of 30.0 m/s [60 degrees East of North]. What is the resulting velocity of the boat in the river?arrow_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_forward
- A swimmer, capable of swimming at a speed of 1.85 m/s in still water (i.e., the swimmer can swim with a speed of 1.85 m/s relative to the water), starts to swim directly across a 1.46-km-wide river. However, the current is 0.679 m/s, and it carries the swimmer downstream. (a) How long does it take the swimmer to cross the river? (b) How far downstream will the swimmer be upon reaching the other side of the river? Show all steps please.arrow_forwardA swimmer, capable of swimming at a speed of 1.83 m/s in still water (i.e, the swimmer can swim with the speed of 1.83 m/s relative to the water), starts to swim directily across a 1.39-km wide river. However, the current is 0.850 m/s and it carries the swimmer downstream. (a) How long does it take the swimmer to cross the river? (b) How far downstream will the swimmer be upon reaching the other side of the river?arrow_forwardA river flows due south with a speed of2.0 m/s. You steer a motorboat across the river; your velocity relative tothe water is 4.2 m/s due east. The river is 500 m wide. In which direction should the motorboat head to reach a point on the opposite bank directly east from your starting point? (The boat’s speed relative to the water remains 4.2 m/s.)arrow_forward
- Jojo is riding a boat to travel across a river whose current has velocity of 1.20 m/s westward. If the speed of the boat is 1.85 m/s, at what angle should the boat head so that it travels northward directly across the river?arrow_forwardThe operator of a boat wishes to cross a 5-km wide river that is flowing to the east at 10 m/s. He wants to reach the exact point on the opposite shore 15 min after starting. With what speed and in what direction should the boat travel?arrow_forwardA ferry boat has a still water speed of 9.8 km/hrs. Its helmsman steers the boat due north across a river that runs with a current of 5.4 km/hr east. If the trip lasts 2.5 hrs, how wide is the rive.arrow_forward
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