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: 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 thecart 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 F1 + F2 by component method.The x-component of Fi isand the y-component isThe x-component of F2 isand the y-component isAdding the components, we can express the resultant vector in unit vector component form:Fi+F2=Î +Since we want to find F1 + F2+ F3= 0, it follows that F3 = - (Fi + Fɔ). Thus,F3 =The magnitude of F3 is F3 =N.

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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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:

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 F1 +F2+ F3=0.
First, we calculate the vector sum F1 + F2 by component method.
The x-component of Fi 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=
Î +
Since we want to find F1 + F2+ F3= 0, it follows that F3 = - (Fi + Fɔ). Thus,
F3 =
The magnitude of F3 is F3 =
N.

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