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.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter3: Vectors
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Problem 8PQ: The layout of the town of Popperville is a perfectly square grid, with blocks 100 feet long (Fig....
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QUESTION 2
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
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:
Since we want to find F1 + F2 + F3 = 0, it follows that F3 = - (F + F2). Thus,
F3=
|7•[
The magnitude of F3 is F3 =
N.
of
Transcribed Image Text:QUESTION 2 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 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: Since we want to find F1 + F2 + F3 = 0, it follows that F3 = - (F + F2). Thus, F3= |7•[ The magnitude of F3 is F3 = N. of
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