A 65kg skier is moving at 6050 m/s on a frictionless, horizontal snow-covered plateau when she encounters a rough patch3.50m long. The coefficient at kinetic friction between this patch and her skis is 0.300. After crossing the rough patch and returning to friction-free snow, she skis down an icy frictionless hill 2.50m high,
1. How far the skier moving when she gets the bottom of the hill?
2. How much internal energy was generated in crossing the rough patch?