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)
College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter3: Two-dimensional Kinematics
Section: Chapter Questions
Problem 22PE: A farmer wants to fence off his four-sided plot of flat land. He measures the first three sides,...
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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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