Answer:
= 5/9
Explanation:
This is an exercise that we can solve using Archimedes' principle which states that the thrust is equal to the weight of the desalted liquid.
B = ρ_liquid g V_liquid
let's write the translational equilibrium condition
B - W = 0
let's use the definition of density
ρ_body = m / V_body
m = ρ_body V_body
W = ρ_body V_body g
we substitute
ρ_liquid g V_liquid = ρ_body g V_body
In the problem they indicate that the ratio of densities is 5/9, we write the volume of the bar
V = A h_bogy
Thus
we substitute
5/9 = ![\frac{h_{liquid} }{ h_{body} }](https://tex.z-dn.net/?f=%5Cfrac%7Bh_%7Bliquid%7D%20%7D%7B%20h_%7Bbody%7D%20%7D)
Answer:
0.98kW
Explanation:
The conservation of energy is given by the following equation,
![\Delta U = Q-W](https://tex.z-dn.net/?f=%5CDelta%20U%20%3D%20Q-W)
![\dot{m}(h_1+\frac{1}{2}V_1^2+gz_1)-\dot{W} = \dot{m}(h_2+\frac{1}{2}V_2^2+gz_)](https://tex.z-dn.net/?f=%5Cdot%7Bm%7D%28h_1%2B%5Cfrac%7B1%7D%7B2%7DV_1%5E2%2Bgz_1%29-%5Cdot%7BW%7D%20%3D%20%5Cdot%7Bm%7D%28h_2%2B%5Cfrac%7B1%7D%7B2%7DV_2%5E2%2Bgz_%29)
Where
Mass flow
Specific Enthalpy (IN)
Specific Enthalpy (OUT)
Gravity
Heigth state (In, OUT)
Velocity (In, Out)
Our values are given by,
![T_i = 10\°C](https://tex.z-dn.net/?f=T_i%20%3D%2010%5C%C2%B0C)
![P_1 = 100kPa](https://tex.z-dn.net/?f=P_1%20%3D%20100kPa)
![\dot{m} = 5kg/s](https://tex.z-dn.net/?f=%5Cdot%7Bm%7D%20%3D%205kg%2Fs)
![z_2 = 20m](https://tex.z-dn.net/?f=z_2%20%3D%2020m)
For this problem we know that as pressure, temperature as velocity remains constant, then
![h_1 = h_2](https://tex.z-dn.net/?f=h_1%20%3D%20h_2)
![V_1 = V_2](https://tex.z-dn.net/?f=V_1%20%3D%20V_2)
Then we have that our equation now is,
![\dot{m}(gz_1) = \dot{m}(gz_2)+\dot{W}](https://tex.z-dn.net/?f=%5Cdot%7Bm%7D%28gz_1%29%20%3D%20%5Cdot%7Bm%7D%28gz_2%29%2B%5Cdot%7BW%7D)
![\dot{W} = \frac{(5)(9.81)(0-20)}{1000}](https://tex.z-dn.net/?f=%5Cdot%7BW%7D%20%3D%20%5Cfrac%7B%285%29%289.81%29%280-20%29%7D%7B1000%7D)
![\dot{W} = -0.98kW](https://tex.z-dn.net/?f=%5Cdot%7BW%7D%20%3D%20-0.98kW)
I think:
In motion- 40
Not moving- 20
Answer:
A galaxy is a gravitationally bound system of stars, stellar remnants, interstellar gas, dust, and dark matter. The word galaxy is derived from the Greek galaxias, literally "milky", a reference to the Milky Way.
Explanation:
Answer:
∆T = Mv^2Y/2Cp
Explanation:
Formula for Kinetic energy of the vessel = 1/2mv^2
Increase in internal energy Δu = nCVΔT
where n is the number of moles of the gas in vessel.
When the vessel is to stop suddenly, its kinetic energy will be used to increase the temperature of the gas
We say
1/2mv^2 = ∆u
1/2mv^2 = nCv∆T
Since n = m/M
1/2mv^2 = mCv∆T/M
Making ∆T subject of the formula we have
∆T = Mv^2/2Cv
Multiple the RHS by Cp/Cp
∆T = Mv^2/2Cv *Cp/Cp
Since Y = Cp/CV
∆T = Mv^2Y/2Cp k
Since CV = R/Y - 1
We could also have
∆T = Mv^2(Y - 1)/2R k