A 69-kg skier moving horizontally at 4.1 m/s encounters a 21° incline.

Question

(a) How far up the incline will the skier move before she momentarily stops, ignoring friction?
(b) How far up the incline will the skier move if the coefficient of kinetic friction between the skies and snow is 0.1?

Answer 1

(a). Set the initial kinetic energy equal to the potential energy gain.
M Vo^2 /2 = M g X sin 21
Solve for X

(b) Set the initial kinetic energy equal to the potential energy gain PLUS work done against friction
M Vo^2 /2 = M g X sin 21 + M g X cos21*0.1
Solve for X

Answer 2

Thank you!