Final answer:
To find the speed of water in the nozzle attached to a garden hose, we apply the conservation of mass for fluids which states that the product of cross-sectional area and fluid velocity is constant throughout the system. OPTION B.
Step-by-step explanation:
The question concerns the calculation of the speed of water as it moves from a larger diameter garden hose to a smaller diameter nozzle. This is a common application of the principle of conservation of mass in fluid dynamics, often taught in high school physics.
Using the conservation of mass for fluids, which is A1 * v1 = A2 * v2 (where A is the cross-sectional area and v is the fluid velocity), we can find the speed of the water in the nozzle. First, we find the area of both the hose and the nozzle using the formula A = π * r^2 for the area of a circle. Then, we plug in the given values and solve for the unknown speed in the nozzle (v2).
Given the hose radius of 1.18 cm and the nozzle radius of 0.21 cm, along with the initial speed of 1.2 m/s in the hose, using the conservation of mass equation, we can calculate the new speed in the nozzle. Because the cross-sectional area of the nozzle is smaller than the hose, the water will speed up when it flows into the nozzle.