The coefficient of kinetic friction between the block and the incline is 0.168.
Coefficient of kinetic friction
The coefficient of kinetic friction is determined from the principle of conservation of energy as follows;
distance traveled on the incline = L
L = h/sin35
L = 1.743 h
Since it takes twice the time travel down,
velocity to slide = 1.743 h/2t = 0.871 v
- v is the velocity to drop from the vertical height
K.E of the block when it slides = ¹/₂mv₁² = ¹/₂m(0.871v)² = 0.871²(K.E to fall) = 0.758K.E to fall straight down
Energy lost to friction
1 - 0.758 = 0.24
Conservation of energy
μmgcos(35) = 0.24(mgsin(35)
μcos(35) = 0.24(sin(35)
μ = 0.168
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