1- MountEverestistheworld'shighestmountain.Itsheightis8848m.Supposeasteel alpine hook were to slowly slide off the summit of Everest and fall all the way to the base of the mountain. If 20.0 percent of the hook's mechanical energy is absorbed by the hook as internal energy, calculate the final temperature of the hook. Assume that the hook's initial temperature is 18.0C and that the hook's temperature increases by 1.00C for every 448 J/kg that is added.

2- AngelFalls,thehighestwaterfallintheworld,islocatedinVenezuela.Estimatethe height of the waterfall, assuming that the water that falls the complete distance experiences a temperature increase of 0.230C. In your calculation, assume that the water absorbs 10.0 percent of its mechanical energy and that 4186 J is needed to raise the temperature of 1.00 kg of water by 1.00C.

3- The Westin Stamford Hotel in Detroit is 228 m tall. Suppose a piece of ice, which initially has a temperature of 0.0C, falls from the hotel roof and crashes to the ground. Assuming that 50.0 percent of the ice's mechanical energy during the fall and collision is absorbed by the ice and that 3.33 105 J is required to melt 1.00 kg of ice, calculate the fraction of the ice's mass that would melt.