Solving for Friction Force on a Ramp

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To solve for the frictional force acting on a 2.0kg block sliding down a 37-degree incline, first calculate the net acceleration using the distance covered in 1.0 second. The net force can be determined by applying Newton's second law, where the net force equals mass times acceleration. Subtract the gravitational component acting down the ramp from the net force to find the kinetic friction. A free body diagram and equations of motion will aid in visualizing the forces and deriving the necessary equations. This approach will lead to the calculation of the friction force acting on the block.
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Homework Statement


A 2.0kg block of wood accelerates from rest down a smooth incline at 37o to the horizontal. It covers 1.26m in 1.0sec. Determine the frictional force acting.

Homework Equations


uhhh... this is the problem, I don't know what equation to use...


The Attempt at a Solution


can someone please help me?
 
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Calculate the net accleration to get the net force, then subtract off the component of gravity that is pointing down the ramp. The remaining force is kinetic friction.
 
If I were doing this problem, I'd:

1. Draw a free body diagram showing the ramp and forces acting on the block

2. Write the equations of motion of the block (i.e. sum F = ma)

3. Integrate twice to get an expression for x = x(t) where x is the distance the block travels down the ramp keeping in mind the initial conditions (hint: accelerates from rest)

4. Since you are given the distance traveled in a specific time, equation (3) can be solved for the friction force
 

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