Answer:

Explanation:
Given that:
The height of a triangular stabilizing fin on its stern is 1 ft tall
and it length is 2 ft long.
Temperature = 60 °F
The objective is to determine the drag on the fin when the submarine is traveling at a speed of 2.5 ft/s.
From these information given; we can have a diagrammatic representation describing how the triangular stabilizing fin looks like as we resolve them into horizontal and vertical component.
The diagram can be found in the attached file below.
If we recall ,we know that;
Kinematic viscosity v = 
the density of water ρ = 62.36 lb /ft³



which is less than < 5.0 × 10⁵
Now; For laminar flow; the drag on the fin when the submarine is traveling at 2.5 ft/s can be determined by using the expression:

where;
= strip area

Therefore;


Let note that y = 0.5x from what we have in the diagram,
so , x = y/0.5
By applying the rule of integration on both sides, we have:


Let U = (2-2y)
-2dy = du
dy = -du/2


![F_D = -0.568 [ \dfrac{\frac{1}{2}U^{ \frac{1}{2}+1 } }{\frac{1}{2}+1}]^0__2](https://tex.z-dn.net/?f=F_D%20%3D%20-0.568%20%5B%20%5Cdfrac%7B%5Cfrac%7B1%7D%7B2%7DU%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%2B1%20%7D%20%20%7D%7B%5Cfrac%7B1%7D%7B2%7D%2B1%7D%5D%5E0__2)
![F_D = -0.568 [ \dfrac{2}{3}U^{\frac{3}{2} } ] ^0__2](https://tex.z-dn.net/?f=F_D%20%3D%20-0.568%20%5B%20%5Cdfrac%7B2%7D%7B3%7DU%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%20%20%5D%20%5E0__2)
![F_D = -0.568 [0 - \dfrac{2}{3}(2)^{\frac{3}{2} } ]](https://tex.z-dn.net/?f=F_D%20%3D%20-0.568%20%5B0%20-%20%20%5Cdfrac%7B2%7D%7B3%7D%282%29%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%20%20%5D)
![F_D = -0.568 [- \dfrac{2}{3} (2.828427125)} ]](https://tex.z-dn.net/?f=F_D%20%3D%20-0.568%20%5B-%20%5Cdfrac%7B2%7D%7B3%7D%20%282.828427125%29%7D%20%20%20%5D)


Answer:
U=0.198J
Explanation:
The potential energy associated with two point charges is given as
U=(Kq1q2)/r
Where k=8.99*10⁹N.m²/C²
r=0.5m,
q₁=2μc,
q₂=5.5μc
If we substitute values into the equation we arrive at
U=(8.99*10⁹N.m²/C²* 2*10⁻⁶*5.5*10⁻⁶)/0.5
U=197.78*10⁻³
U=0.198J
From the calculation above, we can conclude that the potential energy between the two system of charges is 0.198J
Answer:
19063.6051 g
Explanation:
Pressure = Atmospheric pressure + Gauge Pressure
Atmospheric pressure = 97 kPa
Gauge pressure = 500 kPa
Total pressure = 500 + 97 kPa = 597 kPa
Also, P (kPa) = 1/101.325 P(atm)
Pressure = 5.89193 atm
Volume = 2.5 m³ = 2500 L ( As m³ = 1000 L)
Temperature = 28 °C
The conversion of T( °C) to T(K) is shown below:
T(K) = T( °C) + 273.15
So,
T₁ = (28.2 + 273.15) K = 301.15 K
Using ideal gas equation as:
PV=nRT
where,
P is the pressure
V is the volume
n is the number of moles
T is the temperature
R is Gas constant having value = 0.0821 L.atm/K.mol
Applying the equation as:
5.89193 atm × 2500 L = n × 0.0821 L.atm/K.mol × 301.15 K
⇒n = 595.76 moles
Molar mass of oxygen gas = 31.9988 g/mol
Mass = Moles * Molar mass = 595.76 * 31.9988 g = 19063.6051 g