Rather than putting a pump in the fountain, the town engineer puts a water storage tank in one of the nearby high-rise office buildings. How high up in that building should the tank be for its water to rise to 12 Im when spraying out of the fountain? (Neglect friction.)

Rather than putting a pump in the fountain, the town engineer puts a water storage tank in one of the nearby high-rise office buildings. How high up in that building should the tank be for its water to rise to 12 Im when spraying out of the fountain? (Neglect friction.)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section: Chapter Questions

Problem 69P

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Debye Theory of Solids

In solid-state physics, debye theory is used to estimate the phonons contributing to the specific heat capacity in a solid. It explains that the specific heat is a consequence of the vibrations of the atomic lattice of the solid, which is in contrast to the Einstein model. In the Einstein model, solids are treated as independent, non-interacting quantum harmonic oscillators. This model clearly explains the low-temperature dependence of the heat capacity, which is proportional to T3. This is known as Debye T3 law.

Question

Rather than putting a pump in the
fountain, the town engineer puts a
water storage tank in one of the
nearby high-rise office buildings.
How high up in that building should
the tank be for its water to rise to 12
m when spraying out of the fountain?
(Neglect friction.)

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Step 1: Setting up the Conservation of Energy Equation

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Step 2: Solving for Velocity (v)

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Step 3: Using Velocity to Find Tank Height ( ℎ )

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