02 homework RAHMAN, TARIQUE Due: Jan 30 2008, 3:00 am Question 1, chap 3, sect 1. part 1 of 1 10 points Which of the following are scalar quantities, which are vector quantities? a) velocity. b) age. c) speed. d) acceleration. e) temperature. 1. Vectors: velocity. Scalars: age, temperature, speed,acceleration. 2. Vectors: velocity, acceleration. Scalars: age, temperature, speed. 3. Vectors: velocity, acceleration, age, temperature, speed. 4. All are wrong. 5. Vectors: age, temperature, Scalars: velocity, acceleration. Question 2, chap 3, sect 2. part 1 of 1 10 points A vector of magnitude 3 CANNOT be added to a vector of magnitude 4 so that the magnitude of the resultant is 1. 5. 2. 3. 3. 0. 4. 1. 5. 7. Question 3, chap 3, sect 99. part 1 of 2 10 points speed. A B P
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C R D
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 + D . 2. R = B A . 3. R = A B . 4. R = C + B . 5. R = A + D . 6. R = A C . 7. R = B + A . 8. R = A D . 9. R = D A . 10. R = B + D . Question 4, chap 3, sect 99. 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 = B + D . 3. P = B + A . 4. P = A B . 5. P = B A .
homework 02 RAHMAN, TARIQUE Due: Jan 30 2008, 3:00 am 6. P = A D . 7. P = C A . 8. P = C + D . 9. P = D A . 10. P = C + B . Question 5, chap 3, sect 1. part 1 of 1 10 points A man makes three consecutive displacements: (1) from O to A, (2) from A to B, and (3) back to O (refer to the gure). The magnitude of OA is 28.9 m, and of AB 41.7557 m. B A B
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B, C, and D) in random directions and lengths starting at position (41 km, 41 km) , listed below and shown below in the plot. A B C D 27 km 28 km 12 km 17 km at 29 at 233 at 279 at 140
A O
D C
If = 30.1 , nd the magnitude of the third displacement. Answer in units of m. Question 6, chap 3, sect 3. part 1 of 2 10 points A person walks 35.3 of north east for 2.86 km. Another person walks due north, then due east to arrive at the same location. a) How far due north would this person walk? Answer in units of km. Question 7, chap 3, sect 3. part 2 of 2 10 points How far would this person walk due east? Answer in units of km. Question 8, chap 3, sect 3. part 1 of 1 10 points All angles are measured in a counterclockwise direction from the positive x-axis. A hiker makes four straight-line walks (A,
Figure: Drawn to scale. How far from the starting point is the hiker after these four legs of the hike? Answer in units of km. Question 9, chap 3, sect 3. part 1 of 1 10 points When the Sun is directly overhead, a hawk dives toward the ground at a speed of 7.07 m/s. If the direction of his motion is at an angle of 48.4 below the horizontal, calculate the speed of his shadow moving along the ground. Answer in units of m/s. Question 10, chap 3, sect 4. part 1 of 2 10 points The vectors A and B are given by A = 1.67 + 6.32 i j + 1.59 B = 2.23 i j Find the scalar product A B .
homework 02 RAHMAN, TARIQUE Due: Jan 30 2008, 3:00 am Question 11, chap 3, sect 4. part 2 of 2 10 points Find the angle between A and B . Answer in units of . Question 12, chap 3, sect 4. part 1 of 1 10 points Consider vectors A and B with coordinate components shown in the illustration below.
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A B A perspective drawing: Each coordinate has a length of 5 units. To indicate the coordinates of each vector, a line is projected to the horizontal plane then two lines are projected to the horizontal coordinates. As well, a line is directly projected to the vertical coordinate. What is the angle between the two vectors? Answer in units of . Question 13, chap 3, sect 4. part 1 of 1 10 points Vector A has components Ax = 7.75, Ay = 6.79, A z = 1. 8
while vector B has components Bx = 3.49, By = 6.62, Bz = 3.4.
What is the angle AB between these vectors? (Answer between 0 and 180 .) Answer in units of .