One end of an insulated metal rod is maintained at 100 ∘c and the other end is maintained at 0.00 ∘c by ice–water mixture. the rod has a length of 60.0 cm and a cross-sectional area of 1.50 cm2. the heat conducted by the rod melts a mass of 8.30 g of ice in a time of 10.0 min. find the thermal conductivity k of the metal.

At a certain instant after jumping from the airplane a, a skydiver b is in the position shown and has reached a terminal (constant) speed vb = 52 m/s. the airplane has the same constant speed va = 52 m/s, and after a period of level flight is just beginning to follow the circular path shown of radius ρa = 2330 m. (a) determine the velocity and acceleration of the airplane relative to the skydiver. (b) determine the time rate of change of the speed vr of the airplane and the radius of curvature ρr of its path, both as observed by the nonrotating skydiver.