An electronic device dissipating 25 w has a mass of 20 g and a specific heat of 850 j/kg·°c. the device is lightly used, and it is on for 5 min and then off for several hours, during which it cools to the ambient temperature of 25°c. determine the highest possible temperature of the device at the end of the 5-min operating period. what would your answer be if the device were attached to a 0.5-kg aluminum heat sink? assume the device and the heat sink to be nearly isothermal.

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)