Hydraulic jump. In a sink with a flat bottom, turn on a faucet so that a smoothly flowing (laminar) stream strikes the bottom. The water spreads from the impact point in a shallow layer but then, at a certain radius ry from the impact point, it suddenly increases in depth. This depth change, called a hydraulic jump, forms a prominent circle around the impact point (see the figure below). Inside the circle, the speed vy of the spreading water is constant and is equal to its speed in the falling stream just before impact. In a certain experiment, the radius of the falling stream is 1.3 mm just before impact, the volume flow rate Rvis 7.9 om /'s, the jump radius ryis 2.0 cm, and the depth just after the jump is 2.0 mm. (a) What is speed vy? (b) Forr s ry express the water depthd as a function of the radial distance from the impact point. (c) Does the depth of the water increase or decrease with r? (d) What is the depth just before the water undergoes the hydraulic jump? (e) What is the speed vy of the water just after the jump? -Falling Hydraulic jump (a] Number 0.748 Units m/s 2ar RY DI 2x Rv (b) FUI Od= 2x RVDI Od= RV ZAPVI (c) Increases (d) Number 2.8 Units em (e) Number 443 Units