FYKOS Year 35 Series 1 Problem 3 — to stop on skates · FYKOS 35 #35.1.3

Physics · mechanics

Problem

Skaters can stop using the “parallel slide” method, in which they turn the blades of both skates perpendicular to the direction of movement, which significantly increases the friction with the ice. During this, the skater must tilt by the angle

\phi = 35^\circ

from the vertical direction, so he doesn't fall. Assume that he weighs

m = 70\,\mathrm{kg}

and that he is

H = 1.8\,\mathrm{m}

high (including the skates), with the center of gravity at a height of

h = 1.1\,\mathrm{m}

above the ice. Calculate the distance in which he stops from the initial speed

v_0 = 15\,\mathrm{km\cdot h^{-1}}

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