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

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SUMMARY

The resultant force of multiple vectors acting on a point, specifically 50N [S], 75N [N], 40N [W], and 55N [E], can be calculated using vector addition. The correct approach involves breaking down each vector into its x and y components, treating south and west as negative values while north and east are positive. The resultant force is determined to be 29N at an angle of 59° north of east.

PREREQUISITES
  • Understanding of vector addition and components
  • Knowledge of trigonometry for angle calculations
  • Familiarity with force vectors and their representations
  • Basic skills in resolving forces into x and y components
NEXT STEPS
  • Study vector addition techniques in physics
  • Learn how to resolve vectors into components using trigonometric functions
  • Explore the concept of resultant vectors and their applications
  • Practice problems involving multiple forces acting on a point
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Students in physics, particularly those studying mechanics, as well as educators and anyone involved in solving vector-related problems in engineering or physical sciences.

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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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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.
 
thank you ^^
 

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