A swimming pool is filled with 2 m of water at 10?C (i.e. ?w = 9803 N/m3). Its bottom is square and measures 4 m on a side. Two opposite sides are vertical; one end is at 45? and the other makes an angle of 60? with the horizontal. Calculate the magnitude of force due to water on:

(a) the bottom, (b) a vertical side, (c) the 45? end, (d) the 60? end.