An object moves in an x-y plane generating three displacements (50.0 m, 60.0° west of north; 20.0 m, 30.0° east of north; 10.0 m east). a) Draw vector A in its reference frame and determine its x component and its y component. Express vector A in Cartesian form. b) Draw vector B in its reference frame and determine its x component and its y component. www m Express vector B in Cartesian form. c) Draw vector C in its reference frame and determine its x component and its y component. Express vector C in Cartesian form. d) Determine the resulting vector Cartesian Reform. In addition, determine its magnitude and www wwww un mm w w wm www w w mwm ww wm

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Chapter2: Vectors
Section: Chapter Questions
Problem 54P: A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast,...
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An object moves in an x-y plane generating three displacements (50.0 m, 60.0° west of north;
20.0 m, 30.0° east of north; 10.0 m east).
a) Draw vector A in its reference frame and determine its x component and its y component.
Express vector A in Cartesian form.
b) Draw vector B in its reference frame and determine its x component and its y component.
Express vector B in Cartesian form.
c) Draw vector C in its reference frame and determine its x component and its y component.
Express vector C in Cartesian form.
d) Determine the resulting vector Cartesian Reform. In addition, determine its magnitude and
its angle.
Note: As can be seen in the diagram, the resulting vector is in the first quadrant, so the signs of
its components and its angle have to be those corresponding to a vector in the first guadrant.
wwwM
wmww o w
y (norte)
10.0 m
20.0 m
<30.0°
50.0 m
60.0°
(oeste)
x (este)
Transcribed Image Text:An object moves in an x-y plane generating three displacements (50.0 m, 60.0° west of north; 20.0 m, 30.0° east of north; 10.0 m east). a) Draw vector A in its reference frame and determine its x component and its y component. Express vector A in Cartesian form. b) Draw vector B in its reference frame and determine its x component and its y component. Express vector B in Cartesian form. c) Draw vector C in its reference frame and determine its x component and its y component. Express vector C in Cartesian form. d) Determine the resulting vector Cartesian Reform. In addition, determine its magnitude and its angle. Note: As can be seen in the diagram, the resulting vector is in the first quadrant, so the signs of its components and its angle have to be those corresponding to a vector in the first guadrant. wwwM wmww o w y (norte) 10.0 m 20.0 m <30.0° 50.0 m 60.0° (oeste) x (este)
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