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 .First, we calculate the vector sum by component method.The x-component of is and the y-component is .The x-component of 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 , it follows that . Thus, = + The magnitude of is F3 = N. Supply all missing information with the correct numerical values. Do not include the units. Round off all answers to two decimal places. Donot 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. Threeis pushing the cart a force F3 so that the cart is in equilibrium. Find force F3 so that Fi + F, + F3= 0.First, we calculate the vector sum+ F2 by component method.The x-component of F, isand the y-component isThe x-component of F, isand the y-component isAdding the components, we can express the resultant vector in unit vector component form:F +F2=Since we want to find F, + F2+3 =0, it follows that F3 = - (F, + F).Thus,F3-The magnitude of F3 is F3 =N.

Given information: The force applied by Mr. One is, F1=15.00 N due north The force applied by Mr.…

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 . First, we calculate the vector sum by component method. The x-component of is and the y-component is . The x-component of 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 , it follows that . Thus, = + The magnitude of 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 . First, we calculate the vector sum by component method. The x-component of is and the y-component is . The x-component of 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 , it follows that . Thus, = + The magnitude of 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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Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

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 .

First, we calculate the vector sum by component method.

The x-component of 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 , it follows that . Thus,

= +

The magnitude of is F₃ = N.

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 Fi + F, + F3= 0.
First, we calculate the vector sum
+ F2 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:
F +F2=
Since we want to find F, + F2+
3 =0, it follows that F3 = - (F, + F).
Thus,
F3-
The magnitude of F3 is F3 =
N.

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