Question

A ferryboat, whose speed in still water is 4.00 m/s, must cross a river whose current...

A ferryboat, whose speed in still water is 4.00 m/s, must cross a river whose current is 3.00 m/s. The river runs from West to East and the boat is pointed North.

a) If the boat does not compensate for the flow of the river water, and allows itself to be pushed off course, what would be the new velocity of the boat? In answering this question, draw a vector diagram with the appropriate labels for the vectors, and state both the magnitude and direction of the velocity of the boat.

b) The boat now compensates for the river current so that it travels straight across the river to the north without being pushed off course. Draw a labelled vector diagram for this situation, and determine the angle of the still water velocity of the boat relative to the shore.

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
You have a small boat which travels through water at a speed of 6.0 m/s. You...
You have a small boat which travels through water at a speed of 6.0 m/s. You take it out on a section of a local river where the water flows from north to south at a speed of 4.0 m/s. (a) First, you head south (i.e. downstream) in your boat. Draw a vector which represents the velocity of the boat relative to the water, and a vector that represents the velocity of the water relative to the shore. Then add...
A boat, whose speed in still water is 2.40 m/s , must cross a 285-m-wide river...
A boat, whose speed in still water is 2.40 m/s , must cross a 285-m-wide river and arrive at a point 118 m upstream from where it starts (Figure 1). To do so, the pilot must head the boat at a 45∘ upstream angle. What is the speed of the river's current?
A boat crosses a 30 meter wide river, with uniform water current Vc = 2 m/s....
A boat crosses a 30 meter wide river, with uniform water current Vc = 2 m/s. The boat is pointed directly perpendicular to the current with a speed of Vb = 3 m/s over the water observing from the bank, how long does it take the boat to cross the river in seconds? how far down stream was the boat carried in meters? what was total distance of boat traveled in meters? what was boats total velocity in m/s? if...
A 290-m-wide river flows due east at a uniform speed of 1.3m/s. A boat with a...
A 290-m-wide river flows due east at a uniform speed of 1.3m/s. A boat with a speed of 8.9m/s relative to the water leaves the south bank pointed in a direction 34o west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take...
A 370 -m-wide river has a uniform flow speed of 1.1 m/s through a jungle and...
A 370 -m-wide river has a uniform flow speed of 1.1 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 7.6 m/s with respect to the water. There is a clearing on the north bank 18 m upstream from a point directly opposite the clearing on the south bank. (a) At what angle, measured relative...
Swimming at 1.00 m/s relative to still water, a swimmer heads directly across a river of...
Swimming at 1.00 m/s relative to still water, a swimmer heads directly across a river of width 95 m. He arrives 35.0 m downstream from the point directly across the river from his starting point. (a) What is the speed of the current in the river?m/s (b) At what angle relative to the line perpendicular to the shore should he head to arrive at a point directly opposite his starting point? °
A small, battery-powered, electric motorboat that can travel at a speed of 2.05 m/s in still...
A small, battery-powered, electric motorboat that can travel at a speed of 2.05 m/s in still water is operating in a river with a flow speed of 1.25 m/s. For each of the following two cases, determine the requested information for a river that is 244 m wide. (a) Case 1: when the boat is pointed straight across the river, determine the speed  vbl of the boat as viewed by someone on land, the distance d the boat is swept downstream...
1. A certain sea cow can paddle 2.0 m/s in still water. If she attempts to...
1. A certain sea cow can paddle 2.0 m/s in still water. If she attempts to cross a river, from the south bank to the north with a current of 3.0 m/s flowing toward the east by paddling entirely perpendicularly to the flow of the river, in what direction will she be traveling relative to an observer on shore? A. 12 degrees east of north B. 49 degrees west of south C. due east D. due north E. 34 degrees...
A swimmer crossing a river proceeds at an absolute speed of 3 m/s on a course...
A swimmer crossing a river proceeds at an absolute speed of 3 m/s on a course oriented at a 50° angle to the 1 m/s current. Given that the absolute velocity of the swimmer is equal to the vector sum of the velocity of the current and the velocity of the swimmer with respect to the current, what is the magnitude and direction of the velocity of the swimmer with respect to the current?
A speedboat can travel with a speed of 70 m/s in still water. Part A If...
A speedboat can travel with a speed of 70 m/s in still water. Part A If the boat is in a river that has a flow speed of 4 m/s , find the maximum value of the boat's speed relative to an observer on the riverbank. Part B Find the minimum value of the boat's speed relative to an observer on the riverbank. Part C What is the time difference between a downriver trip (with the current) of 1100 mm...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT