To solve this problem it is necessary to apply the concepts related to the geometry of a cylindrical tank and its respective definition.
The volume of a tank is given by

Where
d = Diameter
h = Height
Considering that there are two stages, let's define the initial and final volume as,


We know as well by definition that

Then we have for the statement that


Replacing the previous data


Solving to get h,

Therefore the change is



Therefore te change in the height of the water in the tank is 0.37mm
 
        
             
        
        
        
Well, the acceleration is the difference of speeds divided by the time period. 

.
One rev/s is 

, so our final result is 

.
 
        
        
        
We know that the change in momentum is equals to the product of force and time that is impulse (   ). Therefore, we need to determine the value of that the water is in air by using the second equation of motion,
). Therefore, we need to determine the value of that the water is in air by using the second equation of motion,

Here, u is initial velocity which is zero.
 .
.
Thus, impulse 

From Newton`s second law,

Therefore, impulse 

Given,   and
 and 
Substituting these values, we get
Change in momentum = impulse   
 .
.
 
        
             
        
        
        
Answer:
Explanation:
The relation between time period of moon in the orbit around a planet can be given by the following relation .
T² = 4 π² R³ / GM 
G is gravitational constant , M is mass of the planet , R is radius of the orbit and T is time period of the moon .
Substituting the values in the equation
(.3189 x 24 x 60 x 60 s)²  = 4 x 3.14² x ( 9380 x 10³)³ / (6.67 x 10⁻¹¹ x M) 
759.167 x 10⁶ = 8.25 x 10²⁰ x 39.43 / (6.67 x 10⁻¹¹ x M )
M = .06424  x 10²⁵
= 6.4 x 10²³ kg . 
 
        
             
        
        
        
Answer:
dumpster mass
Explanation:
you will need the mass of the dumpster to calculate using conservation of momentum