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Noah's ark was ordered to be 300 cubits long, 50 …

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Problem 53 Hard Difficulty

$$ \begin{array}{l}{\text { A heavy rainstorm dumps } 1.0 \mathrm{cm} \text { of rain on a city } 5 \mathrm{km} \text { wide }} \\ {\text { and } 8 \mathrm{km} \text { long in a } 2 \text { -h period. How many metric tons }} \\ {\left(1 \text { metric ton }=10^{3} \mathrm{kg}\right) \text { of water fell on the city? }\left(1 \mathrm{cm}^{3} \text { of }\right.} \\ {\text { water has a mass of } 1 \mathrm{g}=10^{-3} \mathrm{kg} . \text { ) How many gallons }} \\ {\text { of water was this? }}\end{array} $$

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Physics 101 Mechanics

Physics for Scientists and Engineers with Modern Physics

Chapter 1

Introduction, Measurement, Estimating

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So how many metric tons of water fell on the city and how many gallons of water fell in the city? So we can say that the area of the city of 40 square kilometers and we have a depth of one centimeter so we can say 40 square kilometers multiplied by 10 to the fifth centimeters. For every one kilometer we can square this entire term. We're gonna multiply this by one centimeter because I would be the depth um multiplied by 10 to the negative third kilograms for every one centimeter. Cute. This would be the density of water. And then we have for every one metric ton there there are 1000 kilograms, so 10 to the third kilograms. And so we have four times 10 to the fifth metric tons of water. After that, we can do the exact same thing. However, will say 40 kilometers squared will have the same conversion 10 to the fifth centimeters for every one kilometer square this entire term, we're gonna multiply it by again. One centimeter. Uh, we can say that for every one leader of water, there are 10 to the third cubic centimeters. So this would be again the density of water in terms of leaders per centimeters of person per cubic centimeters. And then for every one gallon there are 3.78 leaders. So I'd be the volume of one gallon of water or what? Just simply one gallon. And so in gallons, we have 1.6 times 10 to the eighth gallons of water on the city. That is the end of the solution. Thank you for watching.

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Problem

Noah's ark was ordered to be 300 cubits long, 50 …

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Related Courses

Physics for Scientists and Engineers with Modern Physics

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Discussion

Top Physics 101 Mechanics Educators

Christina Krawiec

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Watch More Solved Questions in Chapter 1

Video Transcript

Douglas C. Giancoli

Physics for Scientists and Engineers with Modern Physics

Christina Krawiec

Andy Chen

Jared Enns

Meghan Miholics

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Physics for Scientists and Engineers with Modern Physics

Christina Krawiec

Andy Chen

Jared Enns

Meghan Miholics

Douglas C. GiancoliPhysics for Scientists and Engineers with Modern Physics

Christina Krawiec

Andy Chen

Jared Enns

Meghan Miholics

Douglas C. Giancoli

Physics for Scientists and Engineers with Modern Physics