You're standing at the top of a snow-covered hill, sloped at 11.0°. The coefficient of kinetic friction between your sled and the hill is 0.304. Unfortunately, there's a running stream just at the bottom of the hill, and you don't want to get wet. If you and your sled together have a mass of 83.0 kg, with what speed should you push off with to stop just before the stream, 97.0 m down the slope?

1 answer

the work done by friction must equal the
... initial kinetic energy plus the gravitational energy from the height change

f * d = (1/2 m v^2) + (m g h)