How to Approach Conservative Force Problems on the XY-Plane?

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SUMMARY

The discussion focuses on solving conservative force problems on the XY-plane, specifically addressing the calculation of force magnitude and the angle between vectors. Key steps include finding the magnitude by taking the square root of the sum of squared components, confirming that the angle between vectors is 90 degrees using the cosine formula, and understanding that work is calculated as the integral of the force vector dot the displacement vector. The participant expresses confusion regarding the problem setup and the identification of components, indicating a need for clearer foundational understanding.

PREREQUISITES
  • Understanding of vector components in physics
  • Familiarity with the dot product of vectors
  • Knowledge of integral calculus for work calculation
  • Basic principles of conservative forces
NEXT STEPS
  • Study vector component resolution in two dimensions
  • Learn about the dot product and its geometric interpretation
  • Review integral calculus applications in physics, particularly for work
  • Explore the principles of conservative forces and potential energy
USEFUL FOR

Students in physics courses, particularly those studying mechanics, as well as educators looking for strategies to teach conservative force problems effectively.

Kevii
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Homework Statement


[PLAIN]http://img293.imageshack.us/img293/9080/omgay.jpg

Homework Equations


?


The Attempt at a Solution


?? I'm already lost at where to begin.
 
Last edited by a moderator:
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a) to find the magnitude you take the square root of the sum of the squared components
b) show that the angle between those vectors is 90 ( θ = cos-1 ( A dot B ) / ( |A|*|B| ) )
c) work is equal to the integral of F dot ds
d) what do you think?
 
Thanks for the help, but I'm much much much more behind than that. For some reason the setup of this problem confuses me too much. I guess I'll leave it behind; I can't even understand how to find the components
 

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