During a sudden gust, air flows through an open circular window of diameter 1.0 m at a uniform speed of 10 m/s for 3.0 s. Take the density of air to be 1.3 kg m⁻³.
(a) Determine the mass of air that passes through the window in the given time.
(b) Calculate the total kinetic energy carried by this mass of moving air.
(c) Suppose the same amount of energy is used to lift a suitcase of mass 50 kg vertically upward. To what height would the suitcase be raised? (Take g=9.8ms−2.)