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A skier traveling 12.0 m/s reaches the foot of a steady upward 18° incline and glides 18.2 m up along this slope before coming...Asked by Anne
A skier traveling 12.0 m/s reaches the foot of a steady upward 18 degree incline and glides 12.2 m up along this slope before coming to rest. What was the average coefficient of friction?
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Answered by
Damon
ke at bottom = (1/2) m v^2
= (1/2) m (144) = 72 m Joules
pe at top = m g h= m (9.81)(12.2 sin 18
= 37 m Joules
so
Lost 72-37 = 35 m Joules to friction
Friction force
= mu m g cos 18= 9.33 mu m
work done by friction
= 9.33 mu m * 12.2 = 114 mu m
so
35 m = 114 mu m
mu = 35/114 = .307
sticky snow :(
= (1/2) m (144) = 72 m Joules
pe at top = m g h= m (9.81)(12.2 sin 18
= 37 m Joules
so
Lost 72-37 = 35 m Joules to friction
Friction force
= mu m g cos 18= 9.33 mu m
work done by friction
= 9.33 mu m * 12.2 = 114 mu m
so
35 m = 114 mu m
mu = 35/114 = .307
sticky snow :(
Answered by
Khai Lim
The process is correct.
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