A 5.0kg concrete block accelerates down a 34 degree slope at 4.2 m/s^2. Find the Coefficient of friction between the block and the slope.

The coefficient of friction between the block and the slope is 0.16.

Explanation:

We can find the coefficient of friction between the block and the slope by using Newton's second law:        

   (1)              

Where:

m: is the mass of the block = 5.0 kg

a: is the acceleration = 4.2 m/s²

θ: is the angle = 34°

μ: is the coefficient of friction =?

g: is the gravity = 9.81 m/s²

By entering the above values into equation (1) we have:

Therefore, the coefficient of friction between the block and the slope is 0.16.

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