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 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= - (Fj + F2). Thus, %3D The magnitude of F3 is F3 = N.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter3: Vectors
Section: Chapter Questions
Problem 13PQ: In Chapter 5, you will study a very important vector, force. Each case in Figure P3.13 shows an...
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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 F1 + F2+ F3 = 0.
Fi
+ F2 by component method.
First, we calculate the vector sum
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 F1 + F2+F3 = 0, it follows that F3 = - (F, + F). Thus,
F3 =
The magnitude of F3 is F3 =
N.
Transcribed Image Text: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. Fi + F2 by component method. First, we calculate the vector sum 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 F1 + F2+F3 = 0, it follows that F3 = - (F, + F). Thus, F3 = The magnitude of F3 is F3 = N.
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