**Problem Statement:**Suppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of \(0.573 \times 10^{-3} \, \text{m}^3/\text{s}\) and the diameter of the nozzle you hold is \(5.09 \times 10^{-3} \, \text{m}\). At what speed \(v\) does the water exit the nozzle?\[ v = \, \_\_\_\_\_ \, \text{m/s} \]**Analysis:**To solve this problem, we need to consider the relationship between the flow rate, nozzle diameter, and the speed of the water exiting the hose. The flow rate \(Q\) is given by the formula:\[ Q = A \times v \]where:- \(Q\) is the flow rate,- \(A\) is the cross-sectional area of the nozzle,- \(v\) is the velocity of the water exiting the nozzle.The cross-sectional area \(A\) of the nozzle can be calculated using the formula for the area of a circle:\[ A = \pi \left(\frac{d}{2}\right)^2 \]where \(d\) is the diameter of the nozzle. Here, \(d = 5.09 \times 10^{-3} \, \text{m}\).Substitute the known values into the formulas to find \(v\), the speed of the water exiting the nozzle.

Name: **Problem Statement:**Suppose you spray your sister with water from a
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Description: **Problem Statement:**Suppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of \(0.573 \times 10^{-3} \, \text{m}^3/\text{s}\) and the diameter of the nozzle you hold is \(5.09 \times 10^{-3} \, \te

Given data: The flow rate of water, Q=0.573×10-3 m3/s. The diameter of the nozzle, D=5.09×10-3 m.…

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Suppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of 0.573 × 10–3 m³/s and the diameter of the nozzle you hold is 5.09 × 10-3 m. At what speed v does the water exit the nozzle?

Suppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of 0.573 × 10–3 m³/s and the diameter of the nozzle you hold is 5.09 × 10-3 m. At what speed v does the water exit the nozzle?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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