How Do You Calculate the Net Force and Its Magnitude on an Object?

AI Thread Summary
To calculate the net force on the crate, first sum the forces acting in the horizontal direction (82.0 N right and 115 N left) and the vertical direction (565 N up and 236 N down) separately. The net force in the x-direction is -33 N (net left), and in the y-direction, it is 329 N (net up). The magnitude of the net force can be found using the Pythagorean theorem, combining these two components. The final net force magnitude is approximately 337.5 N, directed upward and to the left. Understanding vector addition is crucial for determining the overall net force and its direction.
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Homework Statement


A crate is pulled to the right (positive x-axis) with a force of 82.0 N, to the left with a force of 115 N, upward with a force of 565 N, and downward with a force of 236 N. Find the magnitude and direction of the net force on the crate.

---> I'm a bit confused about net force. I know its the sum of all the forces but do add up all the forces? Or the just the top with the bottom and right and left? And how do I find the magnitude?
---> I drew a free body diagram...but I didn't really know what to do after that.
 
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Add the vertical and horizontal forces separately to obtain a net force in each of those directions.. then use your knowledge of vectors to solve for the magnitude and direction of the net resultant force of its two perpendicular components.
 

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