Physics
posted by Emma .
In a circus performance, a monkey on a sled is given an initial speed of 3.2 m/s up a 31° incline. The combined mass of the monkey and the sled is 20.7 kg, and the coefficient of kinetic friction between the sled and the incline is 0.20. How far up the incline does the sled move?

KE= PE+W(fr)
KE=m•v²/2
PE= m•g•h=m•g•s•sinα
W(fr)=F(fr) •s= μ•m•g•cosα•s
m•v²/2= m•g•s•sinα+ μ•m•g•cosα•s.
s= v²/2g(sinα+ μ•cosα)
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