How do you find the normal force of an object being pushed?

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Homework Help Overview

The discussion revolves around determining the normal force acting on a wagon being pushed at an angle, with specific parameters including mass, applied force, and coefficient of kinetic friction. Participants are exploring the forces involved in this scenario.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the forces acting on the wagon, including gravity, friction, and the applied force. There is uncertainty about the correct equations to use for calculating the normal force and acceleration.

Discussion Status

Some participants are attempting to clarify the forces at play and the relationships between them. Guidance has been offered regarding the setup of equations for vertical and horizontal forces, but no consensus has been reached on the specific calculations.

Contextual Notes

There is mention of potential confusion regarding the coefficient of kinetic friction and its implications for the problem setup. Participants are also questioning the direction of the applied force in relation to the wagon.

Maya KDeoimmich
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Homework Statement


A 42 kg wagon is being pushed with a metal rod that makes an angle of 46 with the horizontal. The applied force is 449 N and the coefficient of kinetic friction between the wagon and the ground is 0.21.
I'm not sure what equation to use to find the normal force and then the acceleration. Thanks!

Homework Equations


Fy = mgcos46-N

The Attempt at a Solution

 
Last edited:
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Maya KDeoimmich said:
I'm not sure what equation to use to find the normal force and then the acceleration.
You'll use Newton's laws, of course.

First step: What forces act on the wagon? (I count three forces.)
 
Ok thanks but can you please walk me through the steps of how to find the normal force and the acceleration
 
First answer my question. What forces act on the wagon?
 
Gravity, friction, and the applied force
 
Maya KDeoimmich said:
Gravity, friction, and the applied force
Oops, one more force acts. (I meant to say four, not three.) But those three are good. What's missing?
 
normal force? not sure
 
Maya KDeoimmich said:
normal force? not sure
Exactly.

Now you'll set up two equations: One for vertical forces (vertical components) and another for horizontal forces.

Hint: What must the sum of the vertical forces equal?
 
Maya KDeoimmich said:
an angle of 46 with the horizontal
Which way? I.e. is it tending to push down on the wagon or up on it?
Maya KDeoimmich said:
Fy = mgcos46-N
How do you get that? Isn't the mg vertical?
Maya KDeoimmich said:
the coefficient of kinetic friction between the wagon and the ground is 0.21
Ouch! Unless the wheels are locked they mean rolling resistance, not friction, but don't worry about that for now.
 

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