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Unformatted text preview: Maltese, James – Homework 3 – Due: Jan 30 2008, midnight – Inst: Angela Guzman 1 This printout should have 14 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 (part 1 of 1) 10 points Which of the following is a vector quantity? 1. mass 2. none of these correct 3. density 4. speed 5. temperature Explanation: A vector is a quantity with both magni tude and direction. Temperature, density, and mass do not have direction, so they are scalars rather than vectors. Speed, by defini tion, is the magnitude of velocity (which is a vector), so it is also a scalar. Therefore the correct choice is “none of these”. keywords: 002 (part 1 of 1) 10 points A person walks 25 m west and then 45 m at an angle of 60 ◦ north of east. What is the magnitude of the total dis placement? 1. 26.5 m 2. 67.8 m 3. 45.7 m 4. 40.9 m 5. 31.0 m 6. 60.2 m 7. 43.6 m 8. 56.3 m 9. 39.1 m correct 10. 61.4 m Explanation: In a triangle with three sides of a, b, and c , if the angle between a and b is θ , then c 2 = a 2 + b 2 2 ab cos θ . keywords: 003 (part 1 of 2) 10 points A B C D P R The vector ~ R shown in the sketch may be expressed in terms of ~ A , ~ B , ~ C , and ~ D , which are the edges of a parallelogram, as 1. ~ R = ~ C + ~ B . 2. ~ R = ~ B + ~ A . correct 3. ~ R = ~ B ~ A . 4. ~ R = ~ A ~ C . 5. ~ R = ~ C + ~ D . 6. ~ R = ~ A ~ D . 7. ~ R = ~ A ~ B . 8. ~ R = ~ B + ~ D . 9. ~ R = ~ A + ~ D . 10. ~ R = ~ D ~ A . Explanation: The solution is found by the application of the parallelogram rule of addition; the tails of the two vectors ~ A and ~ B are joined together and the resultant vector is the diagonal of a parallelogram formed with ~ A and ~ B as two of its sides. Maltese, James – Homework 3 – Due: Jan 30 2008, midnight – Inst: Angela Guzman 2 004 (part 2 of 2) 10 points The vector ~ P shown in the sketch may be expressed in terms of ~ A , ~ B , ~ C , and ~ D as 1. ~ P = ~ A + ~ D . 2. ~ P = ~ D ~ A . 3. ~ P = ~ B ~ A . 4. ~ P = ~ B + ~ A . 5. ~ P = ~ C + ~ D . 6. ~ P = ~ C ~ A . 7. ~ P = ~ C + ~ B . 8. ~ P = ~ B + ~ D . 9. ~ P = ~ A ~ B . correct 10. ~ P = ~ A ~ D . Explanation: By the triangle method of addition ~ B + ~ P = ~ A . Therefore ~ P = ~ A ~ B . keywords: 005 (part 1 of 1) 10 points A B C D P R The vector ~ R shown in the sketch may be expressed in terms of ~ A , ~ B , ~ C , and ~ D , which are the edges of a parallelogram, as 1. ~ R = ~ A ~ C . 2. ~ R = ~ B + ~ D . 3. ~ R = ~ D ~ A . 4. ~ R = ~ C + ~ D . 5. ~ R = ~ A + ~ D . 6. ~ R = ~ C + ~ B . 7. ~ R = ~ A ~ D . 8. ~ R = ~ A ~ B . 9. ~ R = ~ B ~ A . 10. ~ R = ~ B + ~ A . correct Explanation: The solution is found by the application of the parallelogram rule of addition; the tails of the two vectors ~ A and ~ B are joined together and the resultant vector is the diagonal of a parallelogram formed with ~ A and ~ B as two of its sides....
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This note was uploaded on 04/15/2008 for the course PHY 2048 taught by Professor Guzman during the Spring '08 term at FAU.
 Spring '08
 Guzman
 Physics, Work

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