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 F1 +F2+F3=0. First, we calculate the vector sum F+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: Since we want to find Fi +F2+F3=0, it follows that F3 = - (F +F). Thus. The magnitude of Fa is F3- N.
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 F1 +F2+F3=0. First, we calculate the vector sum F+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: Since we want to find Fi +F2+F3=0, it follows that F3 = - (F +F). Thus. The magnitude of Fa is F3- N.
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter4: Forces In One Dimension
Section4.3: Newton's Third Law
Problem 32PP
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Question
P6
![Supply all missing information with the correct numerical values. Do not include
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 = 15.00 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.
First, we calculate the vector sum F, +F, by component method.
The x-component of F is
and the y-component is
The x-component of F, 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 F, + F2+ F3 =0, it follows that F3 = - (F, + F), Thus
F3=
The magnitude of F3 is F3 =
N.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F104fdf38-7afb-44c0-91ca-1b35d83a02fb%2F049722b9-a05c-437f-8f02-4fd258b38144%2Frhr3clh_processed.png&w=3840&q=75)
Transcribed Image Text:Supply all missing information with the correct numerical values. Do not include
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 = 15.00 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.
First, we calculate the vector sum F, +F, by component method.
The x-component of F is
and the y-component is
The x-component of F, 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 F, + F2+ F3 =0, it follows that F3 = - (F, + F), Thus
F3=
The magnitude of F3 is F3 =
N.
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