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. 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 .
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.
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Glencoe Physics: Principles and Problems, Student…](https://www.bartleby.com/isbn_cover_images/9780078807213/9780078807213_smallCoverImage.gif)
![Glencoe Physics: Principles and Problems, Student…](https://www.bartleby.com/isbn_cover_images/9780078807213/9780078807213_smallCoverImage.gif)