Finding the magnitude of a net force

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SUMMARY

This discussion focuses on calculating the magnitude of net forces in two scenarios: an apple falling under the influence of gravity and wind, and a sailboat experiencing forces from wind and water. The gravitational force on the apple is 2.25 N downward, and the wind applies a force of 1.05 N to the right, resulting in a net force direction of 25 degrees. For the sailboat, the wind exerts 452 N north and the water exerts 325 N west, leading to a net force direction of 35.7 degrees. The magnitude of the net forces is determined using the Pythagorean theorem.

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elkosp16
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2 problems both with dealing with finding the magnitude of a net force.

1. A gust of wind blows an apple from a tree. As the apple falls, the gravitational force on the apple is 2.25 N downward, and the force of the wind on the apple is 1.05 N to the right. Find the magnitude and direction of the net force on the apple.

2. The wind exerts a force of 452 N north on a sailboat, while the water exerts a force of 325 N west on the sailboat. Find the magnitude and direction of the net force on the sailboat.


I found the direction already.
tan theta = x/y

1. 1.05/2.25 tan-1 = 25 degrees

2. 325/452 tan-1 = 35.7 degrees

So how do you find magnitude?
 
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never mind. i figured it out. you have to use Pythagorean theorem.
 

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