1.22. For the vectors A and B Figure E1.2 Fig. E1.22, use a scale drawing to find the magnitude and direction of (a) the vector sum A + B and (b) the vector difference A - B. Use your answers to find the magnitude and direction of (c) - A - B and (d) B-A. (See also Exercise 1.29 for a different approach.) 1.23 A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a di- rection 45° east of south, and then 280 m at 30° east of north. After a fourth displacement, she finds her- Ď (10.0 m) 25.0° C (12.0 m) 53.0° B (15.0 m) 30.0° 0 X A (8.00 m) the mag-

1.22. For the vectors A and B Figure E1.2 Fig. E1.22, use a scale drawing to find the magnitude and direction of (a) the vector sum A + B and (b) the vector difference A - B. Use your answers to find the magnitude and direction of (c) - A - B and (d) B-A. (See also Exercise 1.29 for a different approach.) 1.23 A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a di- rection 45° east of south, and then 280 m at 30° east of north. After a fourth displacement, she finds her- Ď (10.0 m) 25.0° C (12.0 m) 53.0° B (15.0 m) 30.0° 0 X A (8.00 m) the mag-

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 79AP: A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts...

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A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?
Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44
A trapper walks a 5.0-lan straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?
A surveyor measures the distance across a river that flows straight north by the following method. Starting directly across from a tree on the opposite bank, the surveyor walks 100 m along the river to establish a baseline. She then sights across to the tree and reads that the angle from the baseline to the tree is 35 . How wide is the river?
Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point? What is your displacement vector? What is the direction of your displacement? Assume the +x -axis is horizontal to the right.
A pedestrian walks 6.0 km east and then 13.0 km north. Use a graphical method to find the pedestrian’s resultant displacement and geographic direction.
Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a) the component of vector Aalong vector C , (b) the component of vector Calong vector A , (c) the component of vector i along vector F , and (d) the component of vector Falong vector i .
A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four straight-line paths. At the end of the walk, what is the persons resultant displacement measured from the starting point? Figure P1.51
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector R has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
What is the y component of the vector shown in Figure OQ3.9? (a) 3 cm (b) 6 cm (c) 4 cm (d) 6 cm (e) none of those answers
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?