Mr. A is pushing a cart with a force of F1 = 15.00 N due north. Mr. B is pushing the same cart with a force of F2 = 25.00 N due northeast. Mr. C 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 ->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: ->F1 + ->F2 = _____ ^i + _____ ^j Since we want to find ->F1 + ->F2 + ->F3 = 0 , it follows that ->F3 = -(->F1 + ->F2). Thus, ->F3 = _____ ^i + ______ ^j The magnitude of ->F3 is F3 = _____ N

Glencoe Physics: Principles and Problems, Student Edition
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Author:Paul W. Zitzewitz
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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. A is pushing a cart with a force of F1 = 15.00 N due north. Mr. B is pushing the same cart with a force of F2 = 25.00 N due northeast. Mr. C 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 ->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:

->F1 + ->F2 = _____ ^i  +  _____ ^j

Since we want to find ->F1 + ->F2 + ->F3 = 0 , it follows that ->F3 = -(->F1 + ->F2). Thus,

->F3 = _____ ^i + ______ ^j  

The magnitude of ->F3 is F3 = _____ N

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