Two children are sliding down a snowy hill which is inclined by 44.6 degrees with respect to horizontal. One has a rough sled which has a coefficient of kinetic friction between it and the snow of μ​k= 0.350; the other has a slippery sled which has a coefficient of kinetic friction between it and the snow of μk= 0.161. If both children start at the top of the 40.4 m tall hill initially at rest, what is the difference in speed between these two sleds at the bottom of the hill?

During the experiment if you could triple the breakaway magnetic force with all other quantities left unchanged, what is the new value for the critical velocity if it was v0 (initial velocity), initially? (b) now if you halved the radius with all other quantities left unchanged, what is the new critical velocity if it was v0 (initial velocity), initially? (c) if during the experiment, critical velocity quadrupled with all other quantities left unchanged, what is the new breakaway force if its magnitude was initially f0,?