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 F, + 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 = - (F + 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 F, + 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 = - (F + F2). Thus, %3D The magnitude of F3 is F3 = N.
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 26P: In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace...
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Question
![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 = 15.00N 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, + F, 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=
Since we want to find Fi+ F2+ F3 = 0, it follows that F3 = - (Fi+F2). Thus,
F3 =
The magnitude of F3 is F3 =
N.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F788d0c3f-d9cc-44b1-8c3d-8726f2bcad39%2F2055b03d-10ff-4cdd-9c4f-35603703d6ee%2Fgiu7on8_processed.jpeg&w=3840&q=75)
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 = 15.00N 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, + F, 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=
Since we want to find Fi+ F2+ F3 = 0, it follows that F3 = - (Fi+F2). Thus,
F3 =
The magnitude of F3 is F3 =
N.
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