You and your friend go sledding. Out of curiosity, you measurethe constant angle θ that the snow-covered slope makes with thehorizontal. Next, you use the following method to determine thecoefficient of friction µk between the snow and the sled. You givethe sled a quick push up so that it will slide up the slope awayfrom you. You wait for it to slide back down, timing the motion. Itturns out that the sled takes four times as long to slide down asit does to reach the top point in the round trip. In terms of θ,what is the coefficient of friction? draw a free body diagram forthe sled going up the slope and another for the sled coming downthe slope, show all work and explain in 1 - 2 sentences why ittakes longer for the sled to slide down the slope than to go up theslope
