 , 28.06.2019 03:30 Jana1517

# An aquarium 4 m long, 1 m wide, and 1 m deep is full of water. find the work needed to pump half of the water out of the aquarium. (use 9.8 m/s2 for g and the fact that the density of water is 1000 kg/m3.) 4900 J

Explanation:

Let's begin by explaining that the Work done by a Force refers to the release of potential energy from a body that is moved by the application of that force to overcome a resistance along a distance .  When the applied force is constant and the direction of the force and the direction of the movement are parallel, the equation to calculate it is: (1)

In the case of this rectangular aquarium (see figure attached), we know its initial volume (which is the same volume occupied by water, because the tank is full) is: (2)

In addition, we know the force needed to pump a small amount of water is: (3)

On the other hand, we know the density of the water is given by the following equation: (4)

Where is the mass of water and is the volume of a thin "sheet" of water.

Finding : (5)

Substituting (5) in (3): (6)

And substituting (6) in (1): (7)

Now, we are asked to find the work needed to pump half of the water out of the aquarium. So, if the aquarium is deep, the half is : (8) (9)

Well, in order to solve this, we have to write the definite integral from y=0 mto y=0.5m: (10)

Knowing : (11) (12) >>>>This is the work needed to pump half of the water out of the aquarium  hello, i am papaguy.

i have found an answer to your question but use it as information.

information: because weak acids/bases have low concentration of hydrogen ions, the addition of water has a large impact on the ph. 2. a difference in 1 unit is a 10x difference in concentration for example; a liquid with ph of 3 is 10x more acidic than a liquid with a ph of 4. therefore, a liquid with a ph of 3 is stronger.

best of luck! the answer should be in the picture.  ### Other questions on the subject: Physics Physics, 21.06.2019 16:30, fatback7063
In which scenario is the least amount of work done on a crate? a force of 120 n moves it 25 m. a force of 115 n moves it 26 m. a force of 130 n moves it 22 m. a force of 125 n moves it 27 m. Physics, 22.06.2019 02:30, cooboy
Explain the difference between each pair of concepts. a. frequency and relative frequency b. percentage and relative frequency a. select the correct choice below. a. frequency is the total number of observations in a data set. relative frequency is the number of times a particular distinct value occurs. b. frequency is the number of times a particular distinct value occurs. relative frequency is the ratio of the frequency of a value to the total number of observations. c. frequency is the total number of observations in a data set. relative frequency is the ratio of the number of times a particular distinct value occurs to the frequency. d. frequency is the number of times a particular distinct value occurs. relative frequency is the ratio of the frequency of two different values. Physics, 22.06.2019 17:00, lewisf5929
Why is the use of carbon-14 limited Physics, 22.06.2019 17:10, MrTeriffic
Which statement describes one way in which global winds affect weather and climate?
An aquarium 4 m long, 1 m wide, and 1 m deep is full of water. find the work needed to pump half of...

### Questions in other subjects:   English, 02.07.2021 06:10   English, 02.07.2021 06:10  Mathematics, 02.07.2021 06:10  Questions on the website: 14459913