Solving for Friction Force on a Ramp

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SUMMARY

The discussion focuses on calculating the frictional force acting on a 2.0 kg block of wood accelerating down a smooth incline at 37 degrees. The block covers a distance of 1.26 meters in 1.0 second. To determine the frictional force, one must first calculate the net acceleration, then subtract the gravitational component acting down the ramp from the net force. The solution involves drawing a free body diagram, applying Newton's second law (sum F = ma), and integrating the equations of motion to derive the expression for distance over time.

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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 acceleration 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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