Selena uses a garden hose to fill a bucket of water.The water enters the hose through a faucet with a 6.0-cm diameter.The speed of the water at the faucet is 5 m/s.If the faucet and the nozzle are at the same height,and the water leaves the nozzle with a speed of 20 m/s,what is the diameter of the nozzle?
A)1.5 cm
B)2.0 cm
C)3.0 cm
D)4.0 cm
E)6.0 cm

Question

Quizplus · Accepted Answer

Using the conservation of mass equation:
(6 cm diameter)^2 × (5 m/s) = (nozzle diameter)^2 × (20 m/s)

Simplifying:
nozzle diameter = (6 cm diameter) × √(5 m/s ÷ 20 m/s) = 3 cm

Therefore, the diameter of the nozzle is 3.0 cm, so the answer is C.

Selena Uses a Garden Hose to Fill a Bucket of Water.The