Coefficient of friction homework problem

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Homework Help Overview

The problem involves a 10kg mass sliding down an incline at a 37-degree angle, with a coefficient of friction of 0.4. Participants are tasked with determining the force of friction and the acceleration of the mass.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the calculation of the normal force and the force of friction, with some verifying each other's methods. Questions arise regarding the next steps to find acceleration.

Discussion Status

Some participants have confirmed the calculations for the normal force and friction, while others express uncertainty about how to proceed to find acceleration. Suggestions for calculating the net force acting down the slope have been offered.

Contextual Notes

Participants are navigating the problem with varying levels of confidence, and there is a mix of correct calculations and uncertainty about subsequent steps. The discussion reflects a collaborative effort to clarify the approach without reaching a definitive conclusion.

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Homework Statement


A 10kg mass is released from rest and slides down an incline that makes an angle of 37degrees with the horizontal. The coefficient of friction is 0.4 on the incline. Determine (a) the force of friction acting to oppose the motion, and (b) the acceleration

Homework Equations


Determine (a) the force of friction acting to oppose the motion, and (b) the acceleration



The Attempt at a Solution



I first drew a free body diagram...

N = (m)(g)Cos(37)
N = 75

F = (0.4)(75)
= 30

Is that correct?
 
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yes, correct so far. Find a.
 
I am getting normal force as 78.35 N

but your method is correct.

What about part b?
 
I agree with pooface. And that's the first time I have ever said that sentence! 78 N is better.
 
To be honest, I have no idea where to go from here. Any hints?
 
calculate the force acting down the slope. then you would the friction acting one way and the force the other way.

Subtract them and get the net force. Then you can use F=ma to find acceleration.
 

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