Answer:
v=20m/S
p=-37.5kPa
Explanation:
Hello! This exercise should be resolved in the next two steps
1. Using the continuity equation that indicates that the flow entering the nozzle must be the same as the output, remember that the flow equation consists in multiplying the area by the speed
Q=VA
for he exitt
Q=flow=5m^3/s
A=area=0.25m^2
V=Speed
solving for V
![V=\frac{Q}{A} \\V=\frac{5}{0.25} =20m/s](https://tex.z-dn.net/?f=V%3D%5Cfrac%7BQ%7D%7BA%7D%20%5C%5CV%3D%5Cfrac%7B5%7D%7B0.25%7D%20%3D20m%2Fs)
velocity at the exit=20m/s
for entry
![V=\frac{5}{1} =5m/s](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B5%7D%7B1%7D%20%3D5m%2Fs)
2.
To find the pressure we use the Bernoulli equation that states that the flow energy is conserved.
![\frac{P1}{\alpha } +\frac{v1^2}{2g} =\frac{P2} {\alpha } +\frac{v2^2}{2g}](https://tex.z-dn.net/?f=%5Cfrac%7BP1%7D%7B%5Calpha%20%7D%20%2B%5Cfrac%7Bv1%5E2%7D%7B2g%7D%20%3D%5Cfrac%7BP2%7D%20%7B%5Calpha%20%7D%20%2B%5Cfrac%7Bv2%5E2%7D%7B2g%7D)
where
P=presure
α=9.810KN/m^3 specific weight for water
V=speed
g=gravity
solving for P1
![(\frac{p1}{\alpha } +\frac{V1^2-V2^2}{2g})\alpha =p2\\(\frac{150}{9.81 } +\frac{5^2-20^2}{2(9.81)})9.81 =p2\\P2=-37.5kPa](https://tex.z-dn.net/?f=%28%5Cfrac%7Bp1%7D%7B%5Calpha%20%7D%20%2B%5Cfrac%7BV1%5E2-V2%5E2%7D%7B2g%7D%29%5Calpha%20%20%3Dp2%5C%5C%28%5Cfrac%7B150%7D%7B9.81%20%7D%20%2B%5Cfrac%7B5%5E2-20%5E2%7D%7B2%289.81%29%7D%299.81%20%20%3Dp2%5C%5CP2%3D-37.5kPa)
the pressure at exit is -37.5kPa
Answer: 1.14 N
Explanation :
As any body submerged in a fluid, it receives an upward force equal to the weight of the fluid removed by the body, which can be expressed as follows:
Fb = δair . Vb . g = 1.29 kg/m3 . 4/3 π (0.294)3 m3. 9.8 m/s2
Fb = 1.34 N
In the downward direction, we have 2 external forces acting upon the balloon: gravity and the tension in the line, which sum must be equal to the buoyant force, as the balloon is at rest.
We can get the gravity force as follows:
Fg = (mb +mhe) g
The mass of helium can be calculated as the product of the density of the helium times the volume of the balloon (assumed to be a perfect sphere), as follows:
MHe = δHe . 4/3 π (0.294)3 m3 = 0.019 kg
Fg = (0.012 kg + 0.019 kg) . 9.8 m/s2 = 0.2 N
Equating both sides of Newton´s 2nd Law in the vertical direction:
T + Fg = Fb
T = Fb – Fg = 1.34 N – 0.2 N = 1.14 N
Here we can say that rate of flow must be constant
so here we will have
![A_1v_1 = 18 A_2v_2](https://tex.z-dn.net/?f=A_1v_1%20%3D%2018%20A_2v_2)
now we know that
![A_1 = 1 cm^2](https://tex.z-dn.net/?f=A_1%20%3D%201%20cm%5E2)
![A_2 = 0.4 cm^2](https://tex.z-dn.net/?f=A_2%20%3D%200.4%20cm%5E2)
now from above equation
![1 cm^2 v_1 = 18(0.400 cm^2)v_2](https://tex.z-dn.net/?f=1%20cm%5E2%20v_1%20%3D%2018%280.400%20cm%5E2%29v_2)
![\frac{v_2}{v_1} = \frac{1}{18\times 0.4}](https://tex.z-dn.net/?f=%5Cfrac%7Bv_2%7D%7Bv_1%7D%20%3D%20%5Cfrac%7B1%7D%7B18%5Ctimes%200.4%7D)
![\frac{v_2}{v_1} = 0.14](https://tex.z-dn.net/?f=%5Cfrac%7Bv_2%7D%7Bv_1%7D%20%3D%200.14)
so velocity will reduce by factor 0.14
Explanation:
Crust...molten
a. Oceanic, iron
b. Continental, silicates
c. less
3. Mantle, Denser
a. Lithosphere
b. Asthenosphere
4. Core
a. elements, rocks
b. liquid, magnetic
(I guess the liquid should come after the is)
Couldn't answer all but wanted to help
Answer: The volume of an irregularly shaped object is 0.50 ml
Explanation:
To calculate the volume, we use the equation:
![\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}](https://tex.z-dn.net/?f=%5Ctext%7BDensity%20of%20substance%7D%3D%5Cfrac%7B%5Ctext%7BMass%20of%20substance%7D%7D%7B%5Ctext%7BVolume%20of%20substance%7D%7D)
Density of object = ![6.0g/ml](https://tex.z-dn.net/?f=6.0g%2Fml)
mass of object = 3.0 g
Volume of object = ?
Putting in the values we get:
![6.0g/ml=\frac{3.0g}{\text{Volume of substance}}](https://tex.z-dn.net/?f=6.0g%2Fml%3D%5Cfrac%7B3.0g%7D%7B%5Ctext%7BVolume%20of%20substance%7D%7D)
![{\text{Volume of substance}}=0.50ml](https://tex.z-dn.net/?f=%7B%5Ctext%7BVolume%20of%20substance%7D%7D%3D0.50ml)
Thus the volume of an irregularly shaped object is 0.50 ml