A hiker starts at his camp and moves the following distances while exploring his surroundings: 66.0 m north, 2.60 x 102 m east, 1.35 x 102 m at an angle 30.0° north of east, and 1.50 x 102 m south. (a) Find his resultant displacement from camp. (Take east as the positive x-direction and north as the positive y-direction.) magnitude direction south of east (b) Would changes in the order in which the hiker makes the given displacements alter his final position? O Yes

A hiker starts at his camp and moves the following distances while exploring his surroundings: 66.0 m north, 2.60 x 102 m east, 1.35 x 102 m at an angle 30.0° north of east, and 1.50 x 102 m south. (a) Find his resultant displacement from camp. (Take east as the positive x-direction and north as the positive y-direction.) magnitude direction south of east (b) Would changes in the order in which the hiker makes the given displacements alter his final position? O Yes

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 45P

See similar textbooks

Similar questions

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?
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 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?
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
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?
A force vector A has x and y components, respectively, of -8.80 units of force and 15.00 units of force. The x and y components of force vector B are, respectively, 13.20 units of force and -6.60 units of force. Find the components of force vector C that satisfies the vector equation AB+3C=0 .
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 .
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?
If one of the two components of a vector is not zero, can the magnitude of the other vector component of this vector be zero?
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?
Vector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when |A+B|=3.0cm and |AB|=3.0cm .
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?