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

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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
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 F = 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 F+F2+F3=0.
First, we calculate the vector sum
+ F, 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+F-
7+
Since we want to find F+F2+F3-0,t follows that Fy= -(F+F).
Thus,
Fy=
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 F = 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 F+F2+F3=0. First, we calculate the vector sum + F, 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+F- 7+ Since we want to find F+F2+F3-0,t follows that Fy= -(F+F). Thus, Fy= The magnitude of F, is F3 = N.
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