Can I Combine X and Y Components in the Work Equation?

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Homework Help Overview

The discussion revolves around the application of the work equation in the context of vector components. Participants are exploring how to combine the x and y components of a force vector when calculating work done on an object moving along a specific displacement.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to understand how to apply the work equation using the components of force and displacement. Questions arise regarding the definition of work in terms of vector quantities and how to properly combine these components.

Discussion Status

Some participants have provided insights into the relationship between work, force, and displacement, specifically mentioning the dot product. There is an ongoing exploration of how to express the work calculation using the given components.

Contextual Notes

The original poster expresses uncertainty about combining vector components in the work equation, indicating a need for clarification on the definitions and relationships involved. The discussion includes specific values for force components and displacement, which may guide the exploration of the problem.

Tinkylo
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Homework Statement
If you apply a force F with the x component =5.33 N and the y component = 4.42 N on a car which moves along the x-axis by a displacement of 3.4 m. What is the work done on the car by your force in J?
Relevant Equations
work= F x S
I don't know how to combine the x,y components with the equation of work.
 
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Tinkylo said:
Homework Statement:: If you apply a force F with the x component =5.33 N and the y component = 4.42 N on a car which moves along the x-axis by a displacement of 3.4 m. What is the work done on the car by your force in J?
Relevant Equations:: work= F x S

I don't know how to combine the x,y components with the equation of work.
Force and displacement are vectors. How is work defined in terms of these vectors?
 
work is the dot product of the vector of force snd displacement.
 
Tinkylo said:
work is the dot product of the vector of force snd displacement.
Yes. So, use that.
 
That's mean the expression will be (5.33Nx3.4m)+(4.42N x0m)?
 
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Thx a lot!
 

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