Posted by G on Friday, March 23, 2012 at 10:34pm.
Here's a quick way to do it using energy. The average velocity during the descent is 85/2.3 = 36.96 m/s. The final velocity is twice that, or
Vf = 73.91 m/s.
Final kinetic energy at the bottom = (M/2)Vf^2 = 32778 J
Potential energy loss at the bottom =
M*g*Lsin41 = 35859 J
Energy lost to friction = 3081 J
Since Work = Force x Distance, the friction force is
Ff = 3081J/85m = 36.2 N
That friction force, the weight and ramp angle can be used to get the friction coefficient, Mu.
Ff = M g cos41 *Mu
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