What is the coefficient of static friction for these two experiments. Can you pl

Question

What is the coefficient of static friction for these two experiments. Can you please show how you reach your answer?

Exp 1.A shoe is pulled across a wood board and measured with a force probe. We took 3 readings for each. The weights were 316.9g, 316.8g, and 316.8g. The force probe read 2.079N, 2.061N, and 1.899N.

Exp 2. The shoe is placed on a ramp. From the front of the ramp to the top is 89.4 inches, it is 12.2 inches high, and the area under the ramp is 88.8 inches.The weights were 316.9g, 316.8g, and 316.8g

Explanation / Answer

exp 1:

static friction coefficient let be k.

then force required to overcome the friction force=k*weight of the shoe

=k*mass*9.8

so for each case, using values for mass and forcee

we get values of k as 0.6694,0.6696, 0.6116

so taking the average, static friction coefficient=0.6502

exp 2:

angle with horizontal=asin(height/length of the ramp)=7.843 degrees

then normal force=mass*g*cos(7.843)=9.7083*mass

friction force =k*normal force=k*9.7083*mass

this is balanced by component of the weight along the incline=mass*9.8*sin(7.843)=1.3373*mass

k*9.7083*mass=1.3373*mass

==>k=0.1377

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