In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force F A of magnitude 200 N, and Charles pulls with force É c of magnitude 175 N. Note that the direction of F c is not given. What is the magnitude of Betty's force F B if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? Alex Charles 131° Betty (a) Number i Units (b) Number i Units

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Chapter1: Units, Trigonometry. And Vectors
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In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture.
The tire remains stationary in spite of the three pulls. Alex pulls with force F A of magnitude 200 N, and Charles pulls with force
É c of magnitude 175 N. Note that the direction of F c is not given. What is the magnitude of Betty's force F B if Charles pulls
in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium?
Alex
Charles
131°
Betty
(a) Number
i
Units
(b) Number
i
Units
Transcribed Image Text:In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force F A of magnitude 200 N, and Charles pulls with force É c of magnitude 175 N. Note that the direction of F c is not given. What is the magnitude of Betty's force F B if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? Alex Charles 131° Betty (a) Number i Units (b) Number i Units
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