The oceanic crust slides under the continental crust due to the differences in their densities. The continental rust is more felsic (contains more silica) which makes it lighter than the oceanic crust which is more mafic (contains more fe and mg)<span />
<u>Answer:
</u>
Maximum height reached by the ball thrown up at 30m/s is 3.06 seconds and the height reached is 45.9 meters
<u>Explanation</u>:
Given:
Initial velocity
To find :
maximum height =?
time taken=?
Solution:
<em>Step 1:Finding the time taken to reach the highest point</em>:
The velocity of the ball at its highest ,final velocity v=0
Using the formula,

Where a is acceleration due to gravity.Its value is
Substituting the values:




<em>Step 2: finding the highest point
</em>
Using the formula

where
s is the maximum highest.
Substituting values





Result:
Thus the maximum height reached is 45.9 meters in 3.06 seconds
The question is incomplete. The complete question is :
A plate of uniform areal density
is bounded by the four curves:




where x and y are in meters. Point
has coordinates
and
. What is the moment of inertia
of the plate about the point
?
Solution :
Given :




and
,
,
.
So,

, 



![$I=2 \int_1^2 \left( \left[ (x-1)^2y+\frac{(y+2)^3}{3}\right]_{-x^2+4x-5}^{x^2+4x+6}\right) \ dx$](https://tex.z-dn.net/?f=%24I%3D2%20%5Cint_1%5E2%20%5Cleft%28%20%5Cleft%5B%20%28x-1%29%5E2y%2B%5Cfrac%7B%28y%2B2%29%5E3%7D%7B3%7D%5Cright%5D_%7B-x%5E2%2B4x-5%7D%5E%7Bx%5E2%2B4x%2B6%7D%5Cright%29%20%5C%20dx%24)



So the moment of inertia is
.
Answer:
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Answer:
direction : West to East
magnitude : 6.0 * 10^-3
Explanation:
<em>Given data :</em>
Four ( 4 ) monitoring wells
location of wells = corners of 1-ha square
Total piezometric head in each well ;
NE corner = 30.0 m ;
SE corner = 30.0 m;
SW corner = 30.6 m;
NW corner = 30.6 m.
<u>Calculate for the magnitude and direction of the hydraulic gradient </u>
first step ; calculate for area
Area = ( 1 -ha ) ( 10^4 m^2/ha )
= 1 * 10^4 m^2
Distance between the wells = length of side
= √( 1 * 10^4 ) m^2
= 100 m
Direction of Hydraulic gradient is from west to east because the total piezometric head in the west = Total piezometric head in the east
Next determine The magnitude of the hydraulic gradient
= ( 30.6 - 30 ) / 100
= 6.0 * 10^-3
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