It's a work and energy question

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SUMMARY

The discussion centers on calculating the angle between a force vector and displacement in a physics problem involving a force F = (4x i + 3y j) acting on an object moving from the origin to x=5m. The key equation to solve this problem is the dot product of two vectors, which directly relates to the angle between them. Participants express uncertainty about the relevant equations and concepts, indicating a need for clarity on vector mathematics and its application in physics.

PREREQUISITES
  • Understanding of vector mathematics
  • Familiarity with the dot product of vectors
  • Knowledge of basic physics concepts related to force and displacement
  • Ability to apply trigonometric functions to solve for angles
NEXT STEPS
  • Study the properties and calculations of the dot product of vectors
  • Learn how to apply trigonometric functions to find angles in vector problems
  • Review the concepts of force and displacement in physics
  • Explore vector representation in physics, particularly in two dimensions
USEFUL FOR

Students studying physics, educators teaching vector mathematics, and anyone interested in understanding the relationship between force and displacement in physical systems.

Dirx
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1. The problem statement, all variables and given/known
force F = (4x i + 3y j) acts on object as it moves in the x direction from the origin to x=5m. What is the angle between the force and the displacement

Homework Equations


I'm not really sure since I have no idea

The Attempt at a Solution


same reason
 
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How is the dot product of two vectors related to the angle between the two vectors?

Chet
 

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