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 = 25.00N 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. First, we calculate the vector sum F1+F2 by component method. The x-component of F1 is and the y-component is The x-component of F2 is and the y-component is Adding the components, we can express the resultant vector in unit vector component form: Fi+ Fz = Since we want to find F1 + F2 + F3=0, it follows that F3 = - (F + F2). Thus, %3D The magnitude of F3 is F3 = N.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Supply all missing information with the correct numerical values. Do not include the units. Round off all answers to two decimal places. Do not
forget the negative sign (-) if needed.
Mr. One is pushing a cart with a force of F1 = 15.00N 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
and the y-component is
The x-component of F2 is
and the y-component is
Adding the components, we can express the resultant vector in unit vector component form:
Fi+F2=
Since we want to find Fi+ F2+ F3 = 0, it follows that F3 = - (Fi+F2). Thus,
F3 =
The magnitude of F3 is F3 =
N.
Transcribed Image Text:Supply all missing information with the correct numerical values. Do not include the units. Round off all answers to two decimal places. Do not forget the negative sign (-) if needed. Mr. One is pushing a cart with a force of F1 = 15.00N 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 and the y-component is The x-component of F2 is and the y-component is Adding the components, we can express the resultant vector in unit vector component form: Fi+F2= Since we want to find Fi+ F2+ F3 = 0, it follows that F3 = - (Fi+F2). Thus, F3 = The magnitude of F3 is F3 = N.
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