A jet of water flows from left to right and hits a splitter block, as shown in the figure. Some of the jet is diverted upwards and some of it downwards. The incoming jet has a velocity U1= 2 m/s and a cross-sectional area A1. The jet that is deflected upwards has a velocity U2= 0.6 m/s, a cross-sectional area A2= 11 cm^2 and is at an angle θ2= 15o with respect to the horizontal. The jet that is deflected downwards has a velocity U3= 0.9 m/s, a cross-sectional area A3= 9 cm^2 and is at an angle θ3= 40o with respect to the horizontal. The density of water is ρ=1000 kg/m^3. a) Find the cross-sectional area of the incoming jet (in cm^2) b) Find the horizontal force on the block (in Newtons) (Note: remember to convert the area of the jets from cm^2 to m^2) c) The vertical force on the block is found to be Fy. What velocity of the incoming jet (i.e. what value of u1) would be needed to generate a force of 4Fy? (Note that you don't need to actually find Fy to solve this question)

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Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.