University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 3, Problem 3.35E
Crossing the River I. A river flows due south with a speed of 2.0 m/s. You steer a motorboat across the river; your velocity relative to the water is 4.2 m/s due east. The river is 500 m wide. (a) What is your velocity (magnitude and direction) relative to the earth? (b) How much time is required to cross the river? (c) How far south of your starting point will you reach the opposite bank?
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A river flows due south with a speed of 1.5 m/s. You steer a motorboat across the river; your velocity relative to the water is 5.2 m/s due east. The river is 500 mm wide.
A)
What is the magnitude of your velocity relative to the earth?
B)
What is the direction of your velocity relative to the earth?
C)
How much time is required to cross the river?
D)
How far south of your starting point will you reach the opposite bank?
Several people stand on a bridge over a river. The bridge is not level, so the people are all different heights above the river. Each person throws a stone to the river.
a) The first person is 26.8 m above the river and throws her stone with a speed of 16.6 m/s at an angle of 6 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below). How long does it take her stone to hit the water, in seconds?
b) The second person is 19.0 m above the river and throws his stone with a speed of 17.1 m/s at an angle of -21.4 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below). What is the range of his stone, in meters?
c)The third person is 9.1 m above the river and throws their stone with a speed of 6.5 m/s at an angle of 9.3 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below). What is the speed of this stone (in m/s) just before it strikes the river?
6. A river flows due south with a speed of 3.5 m/s. You steer a motorboat across the river; your velocity relative to the water is 5.2 m/s due east. The river is 950 m wide. (a) What is your velocity (magnitude and direction/angle) relative to the earth? (b) How much time is required to cross the river? (c) How far south of your starting point will you reach the opposite bank? (Draw a free-body diagram.)
7. (a) In which direction should the motorboat in problem no. 6 head to reach a point on the opposite bank directly east from your starting point? (The boat’s speed relative to the water remains 5.2 m/s.) (b) What is the velocity of the boat relative to the earth? (c) How much time is required to cross the river? (Draw a free-body diagram. )
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