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 = 15.00 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 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 + F2 = Î + Fi+F2+ F3=0, it follows that F3 = - (Fi+F2). Thus, Since we want to find F3= The magnitude of F , is F3 = N.

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter1: A Physics Toolkit
Section: Chapter Questions
Problem 7STP
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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 = 15.00 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.
Fz+F3 =
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+F2=
+
F3 = - (Fi+F2). Thus,
Since we want to find
+
= 0, it follows that
%3D
F3 =
+
The magnitude of F, 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 = 15.00 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. Fz+F3 = 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+F2= + F3 = - (Fi+F2). Thus, Since we want to find + = 0, it follows that %3D F3 = + The magnitude of F, is F3 = N.
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