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.
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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