Answer:
W = 1.06 MJ
Explanation:
- We will use differential calculus to solve this problem.
- Make a differential volume of water in the tank with thickness dx. We see as we traverse up or down the differential volume of water the side length is always constant, hence, its always 8.
- As for the width of the part w we see that it varies as we move up and down the differential element. We will draw a rectangle whose base axis is x and vertical axis is y. we will find the equation of the slant line that comes out to be y = 0.5*x. And the width spans towards both of the sides its going to be 2*y = x.
- Now develop and expression of Force required:
F = p*V*g
F = 1000*(2*0.5*x*8*dx)*g
F = 78480*x*dx
- Now, the work done is given by:
W = F.s
- Where, s is the distance from top of hose to the differential volume:
s = (5 - x)
- We have the work as follows:
dW = 78400*x*(5-x)dx
- Now integrate the following express from 0 to 3 till the tank is empty:
W = 78400*(2.5*x^2 - (1/3)*x^3)
W = 78400*(2.5*3^2 - (1/3)*3^3)
W = 78400*13.5 = 1058400 J
The longer the time between the arrival of the P-wave and S-wave, the <u>farther away</u> is the epicenter.
<h3>
What is epicenter and the relation between P-wave and S-wave?</h3>
- The point on the earth's surface vertically above the hypocenter (or focus), point in the crust where a seismic rupture begins is said to be epicenter.
- There are two types of waves during earthquakes, they are:
- P - wave
- S - wave
- Each seismograph records the times when the first (P waves) and second (S waves) seismic waves arrive.
- From the graph, through the information, scientists can determine how fast the waves are traveling.
- The longer the time between the arrival of the P-wave and S-wave, the farther away is the epicenter.
Hence, Option B is the correct answer.
Learn more about epicenter,
brainly.com/question/28136716
#SPJ1
