A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by a wind blowing from the west at 13 m/s . A wise elder duck finally realizes that the solution is to fly at an angle to the wind. If the ducks can fly at 17 m/s relative to the air, in what direction should they head in order to move directly south?

An ice-making machine inside a refrigerator operates in a carnot cycle. it takes heat from liquid water at 0.0 degrees celsius and rejects heat to a room at a temperature of 19.2 degrees celsius. suppose that liquid water with a mass of 76.3kg at 0.0 degrees celsius is converted to ice at the same temperature. take the heat of fusion for water to be l_f = 3.34*10^5 j/kg.how much energy e must be supplied to the device? express your answer in joules.