What Is the Coefficient of Kinetic Friction on a 40 Degree Incline?

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SUMMARY

The coefficient of kinetic friction on a 40-degree incline can be calculated using the equations of motion and forces acting on the block. The relevant equations include the frictional force, normal force, and gravitational components. The discussion highlights a common confusion regarding the angles used in calculations, specifically the transition from a 40-degree incline to a 50-degree angle in force analysis. Correctly identifying the forces and angles is crucial for accurately determining the coefficient of kinetic friction.

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  • Understanding of Newton's laws of motion
  • Familiarity with trigonometric functions related to angles
  • Knowledge of frictional force equations
  • Ability to analyze forces on inclined planes
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  • Study the derivation of the coefficient of kinetic friction using free body diagrams
  • Learn how to apply trigonometric identities in physics problems involving inclines
  • Explore the relationship between normal force and friction in different scenarios
  • Investigate the effects of angle changes on motion and friction in inclined planes
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Students studying physics, particularly those focusing on mechanics and dynamics, as well as educators looking for examples of friction on inclined planes.

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Homework Statement



a block of unknown mass is given a push up a 40 degrees inclined plane and then released.
it continues to move up the plane (+) at an acceleration of -9m/s squared.what is the coefficient of kinetic friction ?

Homework Equations



f(friction) + mg cos 50 - F = -9 (m)
n = mg sin 50
f( kinetic friction)= (kinetic friction constant) .normal force (n)


The Attempt at a Solution



i have used the above mentioned equations but i couldn't find the right answer..
sooo,, am looking forward for any help guys...
 
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You have mentioned 40 degrees inclined plane. With respect to what? Because in the relevant equation you have used 50 degrees.
So, show your calculations. Identify all the forces acting on the block on the inclined plane.
 
rl.bhat said:
You have mentioned 40 degrees inclined plane. With respect to what? Because in the relevant equation you have used 50 degrees.
So, show your calculations. Identify all the forces acting on the block on the inclined plane.

thank u for replying,,well,i've mentioned the 40 degrees inclined plane, but the only benefit
of this 40 degrees is to help us to find the x component of weight, so if we complete the triangle made by the incline and the perpendicular line of the weight force , we'll get 50 degrees angle ...
 

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