1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sergio039 [100]
3 years ago
15

An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work (in J) needed to pump half of the water out of the

aquarium. Use the fact that the density of water is 1000kg/m3.
Mathematics
1 answer:
Nitella [24]3 years ago
8 0

Answer:

W=2452.5 J

Step-by-step explanation:

The work is define as the integral of the force times distance. So we have:

W=\int^{a}_{b}Fxdx

Now, we can write the force in terms of density.

F=m*g=\rho Vg

V is the volume (V=2*1*1=2 m³)

So the work will be:

W=\int^{0.5}_{0} 2*1000*9.81*xdx=\int^{0.5}_{0} 2*1000*9.81*xdx=\int^{0.5}_{0}19620xdx=19620(\frac{x^{2}}{2})|^{0.5}_{0}

The limit of integration is between 0 and 0.5 because we want to pump half of the water out of the aquarium.

W=19620(\frac{x^{2}}{2})|^{0.5}_{0}=19620(\frac{0.5^{2}}{2})

W=2452.5 J

I hope it helps you!

You might be interested in
One of the legs of a right triangle measures 2 cm and its hypotenuse measures 18 cm.
denpristay [2]

Answer:

17.9

Step-by-step explanation:

4 0
2 years ago
1. 8 + 2×=17 x=<br> 2. 2/7x +4 =8
Alenkinab [10]
1. X = 4.5
2. X= 14 I’m not sure for 2 but number one is write
6 0
3 years ago
Please help me I do not understand this I mean what is this algebra????????
oee [108]

Answer:

what r they teaching u guys at yo school

Step-by-step explanation:

anyway u use a rule to figure this out look up rule math and it will help u

6 0
3 years ago
Read 2 more answers
Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7.
Alecsey [184]

<u><em>Answer:</em></u>

y^2 = 28x

<em><u>Step-by-step explanation:</u></em>

Since the directrix is horizontal, use the equation of a parabola that opens left or right.

(y−k)^2 = 4p(x−h)

Find the vertex.

(0,0)

Find the distance from the focus to the vertex.

p = 7

Substitute in the known values for the variables into the equation

(y−k)^2 = 4p(x−h).

(y−0)^2 = 4(7)(x−0)

Simplify.

<em>y^2 = 28x</em>

7 0
3 years ago
Read 2 more answers
Geoffrey has 30 problems to do for math homework he finished 60 percent of them before play practice how many problems did Geoff
Vikentia [17]

Answer:

18 answers

Step-by-step explanation:

1) 30 of 60%

2)30*.6

3)18

check:

18/30=0.6

0.6=60%

3 0
3 years ago
Read 2 more answers
Other questions:
  • Help ;-; me please;-;
    14·1 answer
  • How many dogs are there in the world?
    15·2 answers
  • Kelly plans to put her graduation money into an account and leave it there for 4 years while she goes to college. she recieves $
    13·1 answer
  • Evaluate the expression if a = 2.<br><br> 5a4 <br><br> A. 30 <br> B. 40 <br> C. 60 <br> D. 80
    12·1 answer
  • What is 7x-11-4x=6 equasion
    8·1 answer
  • Which statement is true
    9·2 answers
  • Find the perimeter of the triangle below
    15·2 answers
  • Max's solar pool cover is 10 feet wide by 32 feet long. If it had a 1.5 ft overhang,
    11·1 answer
  • OREGON TRAIL! (pls help)
    13·1 answer
  • HELP ME YALL I HAVE 20 MINS TO DO THIS
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!