Question

PRACTICE IT Use the worked example above to help you solve this problem. A water hose 2.15 cm in diameter is used by a gardener to fill a 31.0-liter bucket. (One liter = 1,000 cm.) The gardener notices that it takes 1.00 min to fill the bucket. A nozzle with an opening of cross-sectional area 0.500 cmis then attached to the hose. The nozzle is held so that water is projected horizontally from a point 1.00 m above the ground. Over what horizontal distance can the water be projected? EXERCISE HINTS: GETTING STARTED I'M STUCK! Use the values from PRACTICE IT to help you work this exercise. The nozzle is replaced with a Y-shaped fitting that splits the flow in half. Garden hoses are connected to each end of the Y, with each hose having a 0.380 cmnozzle. (a) How fast does the water come out of one of the nozzles? 5.17 I X Some of the information you need is in the example. m/s (b) How far would one of the nozzles squirt water if both were operated simultaneously and held horizontally 1.00 m off the ground? (Hint: Find the volume flow rate through each 0.380-cm? nozzle, then follow the same steps as before.) 2.34 Your expression is correct, but since your answer to part (a) is wrong, this answer is wrong too. m Need Help? Read It Talk to a Tutor

Answer 1

Ti Criven data, volume = 31 L 091085 - Sectional 4900, A=0.szocm? Time - imin Diametes - 2.150m We know that; Volume follu hate - AV (iiimin-bosee IL= 100 cm) - 31x100com? 1 (2:15)?(1) Bosec 516-666 = 3.628 XV V=142,40 m)s In vertical, 1+0+91842 2 4.9 +²=1 tz 0.451 sec Horizontal distance z vyz = 142.40 80.45) = 64,32m.