What is the Resultant Force of Multiple Vectors Acting on a Point?

In summary, the given problem involves four forces acting on a point, with magnitudes of 50N [South], 75N [North], 40N [West], and 55N [East]. To find the resultant force, vector addition must be performed by considering the forces as x and y components. The final answer will have both x and y components and an angle must be determined. It is important to note that the direction of the forces must be taken into account, with South and West being negative and North and East being positive.
  • #1
roxxyroxx
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Homework Statement



50N , 75N [N], 40N [W], and 55N [E] all act on a point. what is the resultant force?

Homework Equations





The Attempt at a Solution


I tried making w and s negative and n and e positive but that gave me 40N and the answer should be 29N, 59[tex]\circ[/tex] N of E . help please??
 
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  • #2
Hello,

I'm not sure how you got 40N [North?] but you have to perform vector addition. Basically, think of the vectors in terms of x and y components, with, like you said, S and W being negative, and you'll get an answer with both x and y components, so you have to figure out the angle it makes.
 
  • #3
thank you ^^
 

1. What is a vector in physics?

A vector in physics is a mathematical quantity that has both magnitude and direction. It is represented by an arrow pointing in the direction of the vector and the length of the arrow represents the magnitude.

2. How do you add or subtract vectors?

Vectors can be added or subtracted using the head-to-tail method. This involves placing the tail of one vector at the head of the other vector and drawing a new vector from the tail of the first vector to the head of the second vector.

3. What is the difference between a scalar and a vector?

A scalar is a physical quantity that is described only by its magnitude, while a vector is described by both magnitude and direction. Scalars can be added or subtracted by simple arithmetic, while vectors require a more complex method.

4. What is the importance of vectors in physics?

Vectors are important in physics because they allow us to represent physical quantities that have both magnitude and direction. This is essential for understanding motion, forces, and other physical phenomena.

5. How are vectors used in real life?

Vectors are used in real life in various ways, such as navigation, engineering, and sports. In navigation, vectors are used to represent the direction and magnitude of travel. In engineering, vectors are used to calculate forces and determine the direction of motion. In sports, vectors are used to represent the direction and speed of a ball or player.

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