What is the relationship between force and surface area when pushing a crate?

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Homework Help Overview

The discussion centers around the relationship between force and surface area when pushing a crate across a surface, specifically examining how changing the orientation of the crate affects the force required to maintain constant speed.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the implications of reducing the surface area in contact with the floor and question how this affects the force needed to push the crate. Some mention the role of friction and its dependence on normal force rather than contact area.

Discussion Status

The discussion is active, with participants providing insights into the nature of friction and its relationship to normal force. There is an exploration of different interpretations regarding the effect of surface area on the force required to push the crate.

Contextual Notes

Participants note that the friction force is proportional to the weight of the object, suggesting a need to clarify assumptions about the relationship between surface area and friction in this context.

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You are pushing a wooden crate across the floor at constant speed.You decide to turn the crate on end, reducing by half the surface area in contact with the floor. In the new orientation, to push the same crate across the same floor with the same speed, the force that you apply must be what compared to the original force?
 
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This can't be that hard
 
Depending on your level, force of friction is using a simple model calculated by the following:
[tex] F_\textrm{friction} = \mu_k F_\textrm{normal}[/tex]
Keep in mind this isn't a fundamental law, it's an experimental relation between the magnitude of the friction force and the magnitude of the normal force.
 
Remember that the friction force is proportional to the weight of the object, not the area of contact!
 

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