Problem 4- Fluids and Heat a) A distant planet has an average mass density identical to that of planet Earth, and a radius, rp, twice the Earth radius. Find the velocity of a liquid flowing out of a spigot at the bottom of a reservoir, assuming that the diameter of the reservoir is much larger than that of the spigot, and the distance between the spigot and the surface of the liquid is h = 9.8 m. b) A spherical shell made of lead, partially filled inside with an unknown liquid, floats in water. Assuming that the weight of the lead shell is 1500 kg and that the overall volume occupied by the sphere (including the space inside) is V= 3.0 m2, find the mass of the liquid inside the sphere such that 60 % of the sphere is submerged in water. c) Ten liters of water, with initial temperature T=20 °C, is mixed with an unknown mass of ice with initial temperature Tice= -40 °C. Consider the system water+ice to be solated. When thermodynamic equilibrium is reached, the state of the system is a mixture of water+ice with 50% liquid water. Find the unknown mass of ice.

Problem 4- Fluids and Heat a) A distant planet has an average mass density identical to that of planet Earth, and a radius, rp, twice the Earth radius. Find the velocity of a liquid flowing out of a spigot at the bottom of a reservoir, assuming that the diameter of the reservoir is much larger than that of the spigot, and the distance between the spigot and the surface of the liquid is h = 9.8 m. b) A spherical shell made of lead, partially filled inside with an unknown liquid, floats in water. Assuming that the weight of the lead shell is 1500 kg and that the overall volume occupied by the sphere (including the space inside) is V= 3.0 m2, find the mass of the liquid inside the sphere such that 60 % of the sphere is submerged in water. c) Ten liters of water, with initial temperature T=20 °C, is mixed with an unknown mass of ice with initial temperature Tice= -40 °C. Consider the system water+ice to be solated. When thermodynamic equilibrium is reached, the state of the system is a mixture of water+ice with 50% liquid water. Find the unknown mass of ice.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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