![jessie6516](/avatars/10.jpg)
jessie6516
07.10.2020 •
Physics
A trough is 8m long and has ends which are isosceles triangles with height 3m and width (across the top) of 3m. The trough has a spout at the top of the tank with height 2m. The tank is full of water. (a) How much work is required to pump all of the water out of the tank? (NOTE that the density of water is rho = 1000 kg/m3 and the acceleration due to gravity is 9.8 m/s2 . (b) Suppose the pump breaks down after 4 × 105 J of work has been done. What is the depth of the remaining water in the tank
Solved
Show answers
More tips
- G Goods and services Don t Let Your Fridge Smell Bother You: How to Get Rid of Unpleasant Odors in Your Refrigerator...
- A Animals and plants What Do Terriers Eat?...
- F Food and Cooking Discover the Benefits and Properties of Dates...
- C Computers and Internet Dynamically Assigned IP Address: What Is It and How Does It Work?...
- S Style and Beauty How to Get Rid of Acne: Scientifically Proven Methods...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
Answers on questions: Physics
- L Law What are some very good questions I could ask my drivers Ed teacher during a DBA, (which is where your drivers Ed teacher asks you questions through the phone.) But what do you...
- E English Use mauled in a sentence...
- M Mathematics Jackson bought a concert ticket online for $56. He used a coupon code to get a 20% discount. The website also applied a 20% processing fee to the price after the discount. How...
- P Physics What’s the mechanical kinetic energy of 800kg roller coaster at 75m...
Ответ:
(a) the work required to pump all of the water out is 1.0584 x 10⁶ J
(b) the depth of the remaining water in the tank is 1.87 m
Explanation:
Given;
length of trough, L = 8m
height of the isosceles triangle, h = 3m
width of the isosceles triangle, w = 3m
length of spout, b = 2m
The center mass of isosceles triangle is given by;
The total height water will be pumped, H = 1m + b
H = 1m + 2m = 3m
Determine the volume of the trough;
Volume of the trough = area of the triangle x length of the trough
Volume of trough =![\frac{1}{2}*3*3*(8) = 36 \ m^3](/tpl/images/0793/3728/1b2f8.png)
(a) The work done in pumping all of the water out;
The work done in pumping all of the water out = potential energy of water at that height, H;
W = mgH
where;
m is mass of water
m = ρV
m = (1000 kg/m³) x (36 m³)
m = 36,000 kg
The work done = mgH
= 36,000 x 9.8 x 3
= 1.0584 x 10⁶ J
(b) after 4 × 10⁵ J of work has been done, the energy required to pump out the remaining water is given by;
ΔE = 1.0584 x 10⁶ J - 4 × 10⁵ J = 658,400 J
The depth of the remaining water is calculated as
658,400 J = mgh
where;
h is the height of the remaining water
658,400 = (36,000 x 9.8)h
658,400 = 352,800h
h = 658,400 / 352,800
h = 1.87 m
Ответ:
c
Explanation:
In space time is mesured at the speed of light