Compressed air can be pumped underground into huge caverns as a form of energy storage. the volume of a cavern is 4.40 105 m3, and the pressure of the air in it is 6.20 106 pa. assume that air is a diatomic ideal gas whose internal energy u is given by u = 5/2 nrt. if one home uses 22.0 kw · h of energy per day, how many homes could this internal energy serve for one day?

Consider a small frictionless puck perched at the top of a fixed sphere of radius r. if the puck is given a tiny nudge so that it begins to slide down, through what vertical height will it descend before it leaves the surface of the sphere? [hint: use conservation of energy to find the puck's speed as a func e conservation of energy to find the puck's speed as a function of its height at what value of this normal force does the puck leave the sphere? ] here on the puck.