Is the Normal Force Larger in a Box-Pushing Scenario?

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Homework Help Overview

The problem involves analyzing the forces acting on a box being pushed across the floor with a force applied at an angle. The primary question is whether the normal force acting on the box is larger than its weight.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the components of the applied force and how they affect the normal force. Questions are raised about the relationship between the normal force and the weight of the box, particularly whether they are equal or if the normal force must be greater.

Discussion Status

The discussion is exploring various interpretations of the forces involved. Some participants suggest that the normal force must account for both the gravitational force and the downward component of the applied force, while others question the necessity of the normal force being greater than the weight.

Contextual Notes

There is an emphasis on understanding the forces in play, particularly in relation to Newton's laws. Participants are considering the implications of the force being applied at an angle and how that affects the normal force.

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Homework Statement



A box is being pushed across the floor with a 250 N force directed 20ο
below the horizontal. Is The normal force is larger than the weight of the box?

True or False.

Explain.

Homework Equations



sin(20) = opp/hyp

The Attempt at a Solution



Fn = 250sin(20o) + Fg

Please help explain how this problem is done, and why we would add Fg. Thank you.
 
Last edited:
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The force is being applied at an angle below the horizontal. Therefore, the normal force must counteract both the downward component of the applied force and the gravitational force.
 
But how do we know if it is greater than the weight of the object? Shouldn't it be equal?
 
the normal force is the perpendicular contact force of the floor acting on the box. It's value must be in accord with Newton's 1st law, per Precursor's response, and the equations you noted above in your initial post.
 
The normal force is greater than the weight because it has to balance both gravitational and applied force.
 

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