SIN Bin

2011, problem 11

diagram of tilted glacier with vectors noted on the puckThe Toronto Maple Leafs, banished to Alaska after another disappointing season, are trying to play hockey on a huge plane of glacial ice, tilted at an angle θ to the horizontal as shown. Due to static friction, their puck is initially hanging at rest on the tilted glacier, when a sudden blow from a player's stick projects it horizontally directly across the slope with speed v=8m/s. The coefficient of kinetic friction between the puck and the surface is μk=tanθ.

Assuming the glacier is sufficiently long and wide, what is the final steady state speed w of the puck? (Answer in m/s)

(a) 0
(b) 2
(c) 4
(d) 6
(e) 8