Don't use chat gpt The velocity of the wind relative to the wateris crucial to sailboats. Suppose a sailboat is inan ocean current that has a velocity of 2.9 m/s in a direction 34\deg east of north relativeto the Earth. It encounters a wind that has avelocity of 4.8 m/s in a direction of 55\deg.south of west relative to the Earth.Part (a) What is the magnitude of thevelocity of the wind relative to the water, inmeters per second?Part (b) What is the angle of the velocity ofthe wind relative to the water degrees southof west?

That is to say, the velocity of the wind relative to the water counts both its own movement and the…

Answered: The velocity of the wind relative to…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 83AP: A diver explores a shallow reef off the coast of Belize. She initially swims 90.0 m north, makes a...

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In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 130 km and 25.0 of west, then 5.10 km due east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?
What do vectors and scalars have in common? How do they differ?
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day and he is blown along the following directions: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 1.30 km and 25.0 south of west, then 5.10 km straight east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use a graphical method to find the castaway’s final position relative to the island.
Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h, (a) in what direction must the pilot head her plane to move directly north across land and (b) how long does it take her to reach a point 300 km directly north of her starting point?
Suppose you add two vectors A and B . What relative direction between them produces the resultant with the greatest magnitude? What is the maximum magnitude? What relative direction between them produces the resultant with the smallest magnitude? What is the minimum magnitude?
Two calipers in a national park hike from their cabin to the same spot on a lake, each taking a different path, as illustrated below. The total distance traveled along Path 1 is 7.5 km, and that along Path 2 is 82 km. What is the final displacement of each camper?
Check Your Understanding For vector in a rectangular coordinate system, use Equation 2.29 through Equation 2.32 to show that and .
When a 10,000-rn runner competing on a 400-rn track crosses the finish line, what is the runner’s net displacement? Can this displacement be zero? Explain.
An experimental jet rocket travels around Earth along its equator just above its surface. At what speed must the jet travel if the magnitude of its acceleration is g ?
A cyclist traveling southeast along a road at 15 km/h feels a wind blowing from the southwest at 25 km/h. To a stationary observer, what are the speed and direction of the wind?
Check Your Understanding If the average velocity vector of the drone In the displacement in Example 2.7 is u=(15.0i+31.7j +2.5k)m/s , what is the magnitude of the drone’s velocity vector?

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