HW-C03 - Honors Textbook Problems Chapter 03 Pages 108 111...

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Honors Textbook Problems Chapter 03 Pages 108 – 111 01. The magnitude of a vector is a scalar. Explain this statement. A scalar is not related to any particular direction, a vector is. By definition a vector is a scalar that “operates” in a specific direction. 03. What is the relationship between the instantaneous speed and instantaneous velocity? Instantaneous speed is simply the magnitude of the instantaneous velocity. 05. Is it possible to add a vector quantity to a scalar quantity? Explain. No. You can not add “apples” and “oranges” 07. Each of the displacement vectors A and B shown in the figure at the right has a magnitude of 3.00 m. Graphically find the following: (a) A + B (b) A - B (c) B - A (d) A – 2 B
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09. A man lost in a maze makes three consecutive displacements so that at the end of the walk he is back where he started, as shown at the right. The first displacement is 8.00 m westward, and the second displacement is 13.0 m northward. Use the graphical method to find the third displacement. 11. Give an example of a moving object that has a velocity vector and an acceleration vector in the same direction and an example of one that has velocity and acceleration vectors in opposite directions. (a) a car speeding up (b) a car slowing down 13. If a set of vectors laid head to tail forms a closed polygon, the resultant is zero. Is this statement true? Explain your reasoning. The statement is true. If there is no net displacement, the magnitude of the resultant is zero. 15. Can a vector have a component equal to zero and still have a nonzero magnitude? Yes 17. How would you add two vectors that were not perpendicular or parallel? Determine the e, and y components of each, add the components and then reconstruct the resulting vector. 19. Under what circumstances would a vector have components that are equal in magnitude? When the vector has an angle of 45°, and 225° 21. A girl delivering newspapers travels three blocks west, four blocks north, and then six blocks east. (a) What is her resultant displacement? Three blocks east and one block of the initial point. (b) What is the total distance she travels? 13 blocks.
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23. A shopper pushes a cart 40.0 m south down one aisle and then turns 90.0° and moves 15.0 m. He then makes another 90.0° turn and moves 20.0 m. Find the shopper’s total displacement. If we assume that the last turn was in a northerly direction, the shopper ends up 20 m south and 15 m (east or west) of the starting point.
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This note was uploaded on 05/06/2011 for the course PHYS 103N taught by Professor Chiu during the Spring '11 term at University of Texas at Austin.

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HW-C03 - Honors Textbook Problems Chapter 03 Pages 108 111...

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