Mr. One is pushing a cart with a force of F1 = 15.00 N due north. Mr. Two is pushing the same cart with a force of F2 = 25.00 N due northeast. Mr. Three is pushing the cart a force F3 so that the cart is in equilibrium. Find force F3 so that F +F2+F3=0.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Mr. One is pushing a cart with a force of E1 = 15.00 N due north. Mr. Two is pushing the same cart with a force of F2 = 25.00 N due
northeast. Mr. Three is pushing the cart a force F3 so that the cart is in equilibrium. Find force F3 so that F1 + F2+F3 = 0.
First, we calculate the vector sum F + F, by component method.
The x-component of F1 is 0
and the y-component is 15
The x-component of F2 is 0
and the y-component is 25
Adding the components, we can express the resultant vector in unit vector component form:
F+F2 =
Since we want to find F1 +F2+ F3= 0, it follows that
F3= - (F+F).TI
Thus,
Transcribed Image Text:Mr. One is pushing a cart with a force of E1 = 15.00 N due north. Mr. Two is pushing the same cart with a force of F2 = 25.00 N due northeast. Mr. Three is pushing the cart a force F3 so that the cart is in equilibrium. Find force F3 so that F1 + F2+F3 = 0. First, we calculate the vector sum F + F, by component method. The x-component of F1 is 0 and the y-component is 15 The x-component of F2 is 0 and the y-component is 25 Adding the components, we can express the resultant vector in unit vector component form: F+F2 = Since we want to find F1 +F2+ F3= 0, it follows that F3= - (F+F).TI Thus,
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