Water flows into a large tank with flat bottom at the rate of 104 m³s¹. Water is also leaking out of a hole of area 1 cm² at its bottom. If the height of the water in the tank remains steady, then this height is (a) 4 cm (b) 2.9 cm (c) 5.1 cm (d) 1.7 cm

Water flows through a water hose at a rate of Q1 = 740 cm3/s, the diameter of the hose is d1 = 2.76 cm. A nozzle is attached to the water hose. The water leaves the nozzle at a velocity of v2 = 10.4 m/s. Enter an expression for the cross-sectional area of the hose, A1, in terms of its diameter, d1.  Calculate the numerical value of A1, in square centimeters.  Enter an expression for the speed of the water in the hose, v1, in terms of the volume flow rate Q1 and cross-sectional area A1.  Calculate the speed of the water in the hose, v1 in meters per second.  Enter an expression for the cross-sectional area of the nozzle, A2, in terms of v1, v2 and A1.   Calculate the cross-sectional area of the nozzle, A2 in square centimeters.

If a kitchen sink has a volume of 20 L. Water flows in the sink with a mass flow rate of 0.5 kg/s. If the drain is closed, how long, in seconds, does it take for the sink to fill up?  Density of water = 1000 kg/m3

45. The figure shows water that flows in a continuous stream from a pipe with cross-sectional area A₁. The water exits the pipe with initial speed vi toward the ground. After the water has fallen a distance h, the cross-sectional area of the stream is A2. Which of the following is equal to the ratio *AT 50 (A). 11 √v² - 2gh V1 (B) Q (D) v+2gh -2gh V1 √√²+2gh