Answer: μ = 0.8885
Explanation: Force due to friction is calculated as:
At an inclined plane, normal force (N) is: N = mgcosθ, in which θ=32.51.
Power associated with work done by friction is . The variable x is displacement the object "spent its energy".
Power associated with work done by gravitational force is P = mghcosθ, where h is height.
The decline forms with horizontal plane a triangle as draw in the picture.
To determine force due to friction:
Replacing force:
Calculating h using trigonometric relations:
h = sin(32.51)
Coefficient of Kinetic friction is
μ = 0.8885
<u>For these conditions, coefficient of kinetic friction is </u><u>μ = 0.8885</u><u>.</u>