3. A container 50 ft by 100 ft by 20 ft deep is half-filled with a liquid (filled to adepth of 10 ft). How much work is done in pumping all the liquid out of thecontainer to a height of 2 ft above the top of the container? (The liquid'sdensity is 60 lb/ft³.) Your answer should include units.

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Description: 3. A container 50 ft by 100 ft by 20 ft deep is half-filled with a liquid (filled to adepth of 10 ft). How much work is done in pumping all the liquid out of thecontainer to a height of 2 ft above the top of the container? (The liquid'sdensity is 60

Answered: 3. A container 50 ft by 100 ft by 20 ft…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 87AP: A car engine moves a piston with a circular cross-section of 73000.002cm in diameter a distance of...

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3. A container 50 ft by 100 ft by 20 ft deep is half-filled with a liquid (filled to a
depth of 10 ft). How much work is done in pumping all the liquid out of the
container to a height of 2 ft above the top of the container? (The liquid's
density is 60 lb/ft³.) Your answer should include units.

Expert Solution

Step 1: Given Data`

The container having 50ft by 100ft by 20ft deep.

But the tank is half field, means the tank is filled to a depth of 10 ft

Let, the density of liquid, $ρ = 60 l b / f t^{3}$

We need to do some work so the we are able to pump out all the liquid out of the container to a height of $h^{'} = 2 f t$

But the container is 20 ft deep already.

Therefore we need to pump out all the water by, $h = (20 + 2) f t = 22 f t$

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