T Transistors and Amplification?

  • Thread starter cpasillas22
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In summary, a sailor in a small sailboat is facing shifting winds and sails a total distance of 5.80 km east, with 2.00 km east and 3.50 km southeast being the first two legs of the journey. The magnitude and direction of the third leg of the journey must be found. To solve this problem, a large piece of paper can be used to draw a diagram with a scale of 1km=1cm, marking out the final point and following the given instructions. The final point can then be located and the third leg can be drawn using the triangle law of vectors and geometry. It is recommended to always sketch out a good diagram when solving physics problems.
  • #1
cpasillas22
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I don't know what to do. I'm lost I've tried making this problem work using Pythagoream's threom? but it didn't come out. Help me please I've worked on my homework for like five days already. i barely started physics and it's been a bumpy start, e.g. vectors = confusion.

A sailor in a small sailboat encounters shifting winds. She sails 2.00 km east, then 3.50 km southeast, and then an additional distance in an unknown direction. Her final position is 5.80 km directly east of the starting point + x-axis.

1.Find the magnitude of the third leg of the journey.

2.Find the direction of the third leg of the journey.
 
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  • #2
ok... Here is what to do...

Take a large piece of paper. Then draw out the instruction, eg 5km west, 3 North etc. Do this using the scale of 1km=1cm. Also mark out the final point you mentioned.

Once you have it all down as a drawing you've practically solved the problem.

Being able to sketch out a good diagram of what it is you are trying to solve is something that will help you not just in Vectors but most physics.

:smile:
 
  • #3
Just start drawing your first vector from the origin and go as per the sequence given in the question , after you locate the final point given in the question , make the 'third leg' by joining the end point of the second vector and the given end point , now apply triangle law of vectors and use a bit of geometry.First of all draw the diagram before proceeding .

BJ
 

Related to T Transistors and Amplification?

What is a vector?

A vector is a mathematical concept that represents both magnitude (size) and direction. Essentially, it is a quantity that has both a numerical value and a specific direction in space. In the context of sailboats, vectors are often used to describe the direction and speed of the wind, as well as the direction and speed of the boat itself.

How do vectors affect sailboat movement?

Vectors play a crucial role in determining the movement of a sailboat. The direction and magnitude of the wind vector will determine the direction and speed of the boat's motion, while the boat's own vector, including its sail plan and hull design, will also affect its movement. By understanding these vectors, sailors can adjust their sails and course to optimize their speed and direction.

What is the difference between true wind and apparent wind?

True wind is the actual direction and speed of the wind in relation to the Earth's surface. However, when a sailboat is in motion, it creates its own wind as it moves through the air. This is known as apparent wind, and its direction and speed may differ from the true wind depending on the boat's movement and direction. Sailors must take into account both true and apparent wind when navigating their boats.

How do sailboats use vector addition?

Vector addition is the mathematical process of combining two or more vectors to determine their resulting magnitude and direction. Sailboats use vector addition when adjusting their sails to take advantage of the wind's direction and speed. By using the concept of vector addition, sailors can optimize their boat's movement and speed to sail efficiently and effectively.

Can vectors be used to determine a sailboat's course and speed?

Yes, vectors can be used to determine a sailboat's course and speed. By analyzing the boat's own vector and the vectors of the wind and water currents, sailors can calculate the boat's resulting direction and speed. This information is crucial for navigation and can help sailors make adjustments to their course and sails to reach their desired destination.

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