Block on an incline with Friction

AI Thread Summary
A block with a mass of 2.29 kg is at rest on a 15.9° incline, with static and kinetic friction coefficients of 0.579 and 0.389, respectively. The problem involves calculating the acceleration of the block after an impulse sets it in motion uphill. The initial attempt at a solution incorrectly applies the frictional force without considering the correct normal force, which is affected by the incline angle. A proper force diagram is necessary to accurately determine the forces acting on the block. Understanding the relationship between the normal force and the incline angle is crucial for solving the problem correctly.
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Homework Statement



A block with a mass of m = 2.29 kg is at rest on an incline. The angle of the incline is θ = 15.9° with respect to the horizontal. The coefficient of static friction between the object and the incline is μs = 0.579, the coefficient of kinetic friction is μk = 0.389.

What would be the magnitude of the object's acceleration after an initial impulse set it in motion uphill on the incline?


Homework Equations


Newtons Second Law
F= ma
??

The Attempt at a Solution



[-(coefficient k)mg-mgsin(theta)]/m and then making that answer positive because it is a magnitude. Where am I going wrong here?
 
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You probably aren't actually drawing a force diagram. The frictional force is proportional to the normal force, which isn't mg. The normal force depends on the angle too.
 

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