Physics find angle of inclined plane help?

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SUMMARY

The discussion focuses on calculating the angle of inclination for a block sliding down an inclined plane at a constant velocity of 0.14 m/s, with a coefficient of kinetic friction of 0.45. The solution involves applying Newton's second law, resulting in the equation tan(θ) = 0.45, leading to an angle of approximately 24 degrees. The participants clarify that no applied force (Fapp) is necessary for this scenario, as the block is sliding solely under the influence of gravity and friction.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of friction and coefficients of friction
  • Knowledge of trigonometric functions, specifically tangent
  • Ability to manipulate equations involving forces and angles
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  • Study the derivation of forces on an inclined plane in physics
  • Learn about the implications of kinetic friction on motion
  • Explore the relationship between angle of inclination and frictional forces
  • Investigate real-world applications of inclined planes in engineering
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of inclined plane problems and their solutions.

crosbykins
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URGENT physics find angle of inclined plane! help!?

Homework Statement



A block slides down an inclined plane at a constant velocity of 0.14m/s. The coefficient of kinetic friction is 0.45. What is the angle of inclination?



Homework Equations


Fnetx = Fk -mgsintheta
Fnety = FN -mgcostheta


The Attempt at a Solution



FN-mgcosΘ = 0
FN =mgcosΘ

FN µK –mgsinΘ =0
FN = mgsinΘ/.45

mgcosΘ = mgsinΘ/.45
.45 = mgsinΘ/ mgcosΘ
.45 = tanΘ
tan-1.45 =Θ
24⁰ =Θ

Is this correct? What I don't understand is that shouldn't Fnetx include an Fapp? The question doesn't give a value for Fapp so I don't how you would use it to find the answer.
 
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hi crosbykins! :smile:

(have a smaller theta: θ and try using the X2 icon just above the Reply box :wink:)
crosbykins said:
What I don't understand is that shouldn't Fnetx include an Fapp? The question doesn't give a value for Fapp so I don't how you would use it to find the answer.

yes that looks fine :smile:

i'm not sure what you mean by Fapp

the block is simply sliding under gravity (any force that pushed it to get it started has been removed)
 


Thank you so much for the help tiny-tim!
 

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