An object, previously at rest, slides #3 m# down a ramp, with an incline of #pi/8 #, and then slides horizontally on the floor for another #4 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
The coefficient of friction of the material is
At the top of the ramp, the object possesses potential enegy.
The length of the ramp is
The angle of the incline is
Let the speed at the bottom of the ramp be
On the horizontal part,
The initial velocity is
The final velocity is
The distance is
The deceleration is calculated with Newton's Second Law of Motion
We apply the equation of motion
The acceleration due to gravity is