Answer:
The value of leaking rate in the question is repeated. By searching on the web I could find the correct value wich is 0.002h^2 m^3 /min.
The depth of the water has to be equal to 7.07 m in order to have a stationary volume.
Explanation:
In order to have a stationary water level the flow of water that comes into the tank (0.1 m^3/min) must be equal to the flow of water that goes out of the tank (0.002*h^2 m^3/min), therefore:
0.002*h^2 = 0.1
h^2 = 0.1/0.002
h^2 = 50
h = sqrt(50) = 7.07 m
Answer:


Explanation:
At initial condition
P=2 MPa
T=30°C
V=25 m/s
At final condition
P=0.3 MPa
Now from first law for open system

We know that for air
h= 1.010 x T KJ/kg
-----1
Now from mass balance

We also know that


----------2
Now from equation 1 and 2

So we can say that

This is the outlet velocity.
Now by putting the values in equation 2

This is the outlet temperature.
Answer:
1440 W
Explanation:
First of all, we can find the total displacement of the sled, which is given by

where
a = 0.08 m/s^2 is the acceleration
t = 1 min = 60 s is the time
Substituting,

Now we can find the wotk done on the sled, equal to the product between force and displacement:

And finally we can fidn the average power, which is the ratio between the work done and the time taken:
