A sleigh slides down a snowy incline 20° to the horizontal, with coefficient of kinetic friction µk = 0.17.
(a) Find the acceleration of the sleigh as it slides down the incline.m/s2
(b) If the sleigh starts from rest, what is the speed of the sleigh when it is 13m from its starting point?m/s
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Verified answer
a) Force down slope = mg sin 20 – µmg cos20 = ma
a = 9.8 . sin20 – 0.17 . 9.8 . cos20 = 1.79 m/s/s
b) v = √ 2 . a . d = √ 2 . 1.79 . 13 = 6.8 m/s