Three displacement vectors are plotted on an x y plane. Vector A, the shortest of the three, starts at the origin and extends up along the positive y axis. Vector B, the longest of the three, starts at the origin and extends into the first quadrant at an angle of 45.0° from the positive xaxis. Vector C, whose magnitude is between that of vectors A and B, starts at the origin and extends into the fourth quadrant at an angle of 45.0° from the positive xaxis. (a) Find the resultant in unit-vector notation. R = units (b) Find the magnitude and direction of the resultant displacement. magnitude unit(s)
Three displacement vectors are plotted on an x y plane. Vector A, the shortest of the three, starts at the origin and extends up along the positive y axis. Vector B, the longest of the three, starts at the origin and extends into the first quadrant at an angle of 45.0° from the positive xaxis. Vector C, whose magnitude is between that of vectors A and B, starts at the origin and extends into the fourth quadrant at an angle of 45.0° from the positive xaxis. (a) Find the resultant in unit-vector notation. R = units (b) Find the magnitude and direction of the resultant displacement. magnitude unit(s)
An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter15: Place And Time
Section: Chapter Questions
Problem 1E: What is the number of latitude degrees between place A (50N, 90W) and place B (60S, 90E)?
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Question
Three displacement vectors of a croquet ball are shown in the figure, where
|A| = 24.0 units,
|B| = 50.0 units,
and
|C| = 20.0 units.
Three displacement vectors are plotted on an x y plane. Vector A, the shortest of the three, starts at the origin and extends up along the positive y axis. Vector B, the longest of the three, starts at the origin and extends into the first quadrant at an angle of 45.0° from the positive xaxis. Vector C, whose magnitude is between that of vectors A and B, starts at the origin and extends into the fourth quadrant at an angle of 45.0° from the positive xaxis.
(a) Find the resultant in unit-vector notation.
(b) Find the magnitude and direction of the resultant displacement.
R =
units
(b) Find the magnitude and direction of the resultant displacement.
| magnitude | unit(s) |
| direction | ° counterclockwise from the +x axis |
Transcribed Image Text:B
45.0⁰
/45.0°
-x
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