Finding Force Values Using Pythagorean Theorem

In summary, when using the Pythagorean Theorem to find the net force, it only applies to right triangles. If one component is zero, the net force would be equal to the non-zero component. However, in general, it is recommended to use the Pythagorean Theorem to find the net force by taking the square root of the sum of the squared components. In this example, f1 would be equal to 5, but in other cases, it is important to use the Pythagorean Theorem to find the correct net force.
  • #1
slammer
8
0
I have a question about those three forces. Let's say for example that f1x=0 and f1y=5 then f1=5 right? Or do I have to use the pathagorean therem to find f1 then it would be the square root of 5?
 
Physics news on Phys.org
  • #2
The Pythagorean Theorem applies to right triangles. If one side is zero, you're no longer left with a triangle. The net force would be 5, since one component is zero. If both components were non-zero, you would use the Pythagorean Theorem.
 
  • #3
In your example, since there is no x component, then fi = f1y =5. In general, however, use Pythagorus...f1 = sq rt of (f1x^2 + f1y^2) = sq. rt of (0^2 + 5^2) = sq rt of 25 = 5.
 

1. What is the Pythagorean theorem?

The Pythagorean theorem is a mathematical theorem that describes the relationship between the sides of a right triangle. It states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

2. How do you use the Pythagorean theorem to solve for one of the sides?

To use the Pythagorean theorem to solve for one of the sides, you need to know the lengths of the other two sides. Then, you can plug those values into the formula: a^2 + b^2 = c^2, where a and b are the lengths of the two shorter sides and c is the length of the hypotenuse. You can then solve for the missing side by taking the square root of both sides.

3. What is the relationship between the Pythagorean theorem and the distance formula?

The distance formula is a special case of the Pythagorean theorem. It is used to calculate the distance between two points in a coordinate plane and is derived from the Pythagorean theorem. When the two points are plotted as the endpoints of the legs of a right triangle, the distance between them can be found by using the Pythagorean theorem.

4. Can the Pythagorean theorem be used for non-right triangles?

No, the Pythagorean theorem can only be used for right triangles. It relies on the fact that the triangle has a right angle, which is what allows for the relationship between the sides to be described by the theorem.

5. How is the Pythagorean theorem useful in real life?

The Pythagorean theorem has many applications in real life, such as in construction and engineering to calculate the diagonal length of a rectangular object, in navigation to determine the distance between two points, and in physics to analyze forces acting on an object at an angle. It is also used in various mathematical proofs and equations.

Similar threads

  • Introductory Physics Homework Help
Replies
17
Views
2K
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
623
  • Introductory Physics Homework Help
Replies
7
Views
704
  • Introductory Physics Homework Help
Replies
17
Views
1K
  • Introductory Physics Homework Help
Replies
9
Views
138
  • Introductory Physics Homework Help
Replies
23
Views
1K
  • Introductory Physics Homework Help
Replies
16
Views
547
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
1K
Back
Top