Solution :
Given data is :
Density of the milk in the tank, ![$\rho = 1020 \ kg/m^3$](https://tex.z-dn.net/?f=%24%5Crho%20%3D%201020%20%5C%20kg%2Fm%5E3%24)
Length of the tank, x = 9 m
Height of the tank, z = 3 m
Acceleration of the tank, ![$a_x = 2.5 \ m/s^2$](https://tex.z-dn.net/?f=%24a_x%20%3D%202.5%20%5C%20m%2Fs%5E2%24)
Therefore, the pressure difference between the two points is given by :
![$P_2-P_1 = -\rho a_x x - \rho(g+a)z$](https://tex.z-dn.net/?f=%24P_2-P_1%20%3D%20-%5Crho%20a_x%20x%20-%20%5Crho%28g%2Ba%29z%24)
Since the tank is completely filled with milk, the vertical acceleration is ![$a_z = 0$](https://tex.z-dn.net/?f=%24a_z%20%3D%200%24)
![$P_2-P_1 = -\rho a_x x- \rho g z$](https://tex.z-dn.net/?f=%24P_2-P_1%20%3D%20-%5Crho%20a_x%20x-%20%5Crho%20g%20z%24)
Therefore substituting, we get
![$P_2-P_1=-(1020 \times 2.5 \times 7) - (1020 \times 9.81 \times 3)$](https://tex.z-dn.net/?f=%24P_2-P_1%3D-%281020%20%5Ctimes%202.5%20%5Ctimes%207%29%20-%20%281020%20%5Ctimes%209.81%20%5Ctimes%203%29%24)
![$=-17850 - 30018.6$](https://tex.z-dn.net/?f=%24%3D-17850%20-%2030018.6%24)
![$=-47868.6 \ Pa$](https://tex.z-dn.net/?f=%24%3D-47868.6%20%5C%20Pa%24)
![$=-47.868 \ kPa$](https://tex.z-dn.net/?f=%24%3D-47.868%20%5C%20kPa%24)
Therefore the maximum pressure difference in the tank is Δp = 47.87 kPa and is located at the bottom of the tank.
Answer:
v₂ = 306.12 m/s
Explanation:
We know that the volume flow rate of the water or any in-compressible liquid remains constant throughout motion. Therefore, from continuity equation, we know that:
A₁v₁ = A₂v₂
where,
A₁ = Area of entrance pipe = πd₁²/4 = π(0.016 m)²/4 = 0.0002 m²
v₁ = entrance velocity = 3 m/s
A₂ = Area of nozzle = πd₂²/4 = π(0.005 m)²/4 = 0.0000196 m²
v₂ = exit velocity = ?
Therefore,
(0.0002 m²)(3 m/s) = (0.0000196 m²)v₂
v₂ = (0.006 m³/s)/(0.0000196 m²)
<u>v₂ = 306.12 m/s</u>
Answer:
D
Explanation:
According to research and data, the average cost for a severe injury in a collision is $247,000.
These include traumatic brain injury, severe damage to limbs which could result to loss of the limbs, spinal cord injuries that could result to partial or total paralysis as well as internal damage to organs in the collision.
Answer:
C
Explanation:
A and B are not true and D is a disadvantage
Each point along the track of one solar mass star represents the star's surface temperature and luminosity at one time.
<h3>What is the one-solar mass star?</h3>
A star having a mass equal to the mass of the Sun is called a one-solar mass star.
Its life track shows the luminous intensity as well as the surface temperature.
Learn more about one-solar mass star.
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