Does friction affect the applied force in motion on an incline?

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The discussion centers on a block moving up a 25-degree incline with a mass of 7.50 kg and an acceleration of 4.44 m/s². The applied force is horizontal, and the coefficients of static and kinetic friction are 0.443 and 0.312, respectively. The participants analyze the relationship between the applied force, normal force, and friction, noting that the normal force is influenced by the applied force. They derive equations to express the net force and normal force, emphasizing the interdependence of these forces in the context of friction. The conversation concludes with a request for guidance on solving the equations with multiple unknowns.
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A block M=7.50kg is initially moving up an incline of 25.0degrees and is increasing sppeed with a= 4.44. The applied Force, F, is horizontal. The coefficients of friction between the block and incline are ms=0.443 and mk=0.312.

a) Fcos(25.0)-73.5sin(25.0)=0 F=34.3 This makes sense to me but does friction play a part in the applied force?

b) N=mgcos(25.0)+Fsin(25.0) N=81.1

c) fs=0.553*N
 
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I don't quite understand what you are doing.In the direction of the incline the net force is not zero it is F-T=ma where T=(coefficient)*N
N=mgcos25
 
Sorry i have a mistake N=mgcos25+Fsin25
 
The force has has nothing to do with friction whereas the frixtion depends on the force because N the normal contact force depends on F in this excercise
 
Thank you for the help

Now, I have the equations
F-T=ma
N=mgcos(25.0)+Fsin(25.0)
T=Coefficient*N

How do I solve them with all of the unknowns?
 
If you replace T with coefficient*N in the fisrt equation you have two equations with two unknowns.1)F-cof*N=ma
2)N=mgcos25+Fsin25
 
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