A horizontal jet of water 2 x 103 mm2 cross-section and flowing at a velocity of 15 m/s hits a flat plate at 60 degrees to the axis (of the jet) and to the horizontal. The jet is such that there is no side spread. If the plate is stationary, calculate a) the force exerted on the plate in the direction of the jet and b) the ratio between the quantity of fluid that is deflected upwards and that downwards. (Assume that there is no friction and therefore no shear force.)