Physics, 16.10.2019 00:30 deonharris18

1. suppose a tank filled with water has a liquid column with a height of 10 meters. if the area is 2 square meters (m²), what's the force of gravity acting on the column of water?
2. if a total force exerted by water in a container with a bottom area of 3 square meters is 900 newtons, what is the water pressure at the bottom of the container?
3. a tank with a flat bottom is filled with water to a height of 7.5 meters. what's the pressure at any point at the bottom of the tank? (you can ignore atmospheric pressure in your calculations.)
4. in a tank full of water, the pressure on a surface 2 meters below the water level is 1.5 kpa. what's the pressure on a surface 6 meters below the water level?
5. a piston above a liquid in a closed container has an area of 0.75 m², and the piston carries a load of 200 kg. what will be the external pressure on the upper surface of the liquid?

Answers: 2

Show answers

Answers

Answer from: tanabugg

Answers:

1. Firstly, we have to define that Pressure is Force applied per unit area . It is mathematically expressed as follows:

$P=\frac{F}{A}$ (1)

The unit of P is Pascal (Pa) which is equivalent to $\frac{kg}{ms^{2}}$ and also equivalent to $\frac{N}{m^{2} }$

There is also another expression of the Pressure in which it is dependent on the density of the liquid, the height of the container and the gravity force :

P=d*h*g (2)

In this problem the liquid is water, and its known density is approximately:

$d=1000kg/m^{3}$

So, we have to substitute the values in equation (2) to obtain the pressure (Being careful with the units):

$P=1000\frac{kg}{m^{3}}*10m*9.8\frac{m}{s^{2}}$

P=98000Pa

Then, we have to substitute this value in equation (1) and clear :

F=P*A

Finally:

F=196000N

2. For this problem, we will use equation (1) to find the Pressure. We already know the area and the force exerted by water in the container :

$P=\frac{F}{A}=\frac{900N}{3m^{2}}$

P=300Pa

3. In this case, equation (2) is the perfect way to find the hydrostatic pressure at any point at the bottom of the tank (be careful with the units):

P=d*h*g

$P=1000\frac{kg}{m^{3}}*7.5m*9.8\frac{m}{s^{2}}$

P=73500Pa

4. In this case, it's important to know that in fluids (in this case the water) the higher the fluid is, the lower the pressure. Then, if $P_{1}$ and $P_{2}$ are the respective pressures at the heights $h_{1}$ and $h_{2}$ , and knowing that the water density and the gravity force in this case are constants, we can use the following expression to solve this problem:

$P_{2}- P_{1} =d*g(h_{2}- h_{1})$ (3)

Where:

$P_{1}=1.5 kPa$ at $h_{1}=2m$

Note that 1kPa=1*1000 Pa

And $P_{2}=?$ is unknown at a given height $h_{2}=6m$

Then, we have to substitute the values in equation (3) to find $P_{2}$ :

$P_{2}-1500Pa=1000\frac{kg}{m^{3}}*9.8\frac{m}{s^{2}} (6m-2m)$

Finally: $P_{2} =40700Pa$

5. In this case we have the area $A=0.75m^{2}$ and the mass of the piston m=200kg , and we need to know the pressure .

We will use equation (1):

$P=\frac{F}{A}$

But, do you remember that above we stated that pressure is the force applied over an area?

Well, in this case we will use the following equation, in which the gravity force and the mass of a body are involved, to find :

$F=m*g=200kg*9.8\frac{m}{s^{2}}$

Then:

F=1960N

Now we can finally calculate :

$P=\frac{1960N}{0.75m^{2}}$

P=2613.33Pa

Answer from: Quest

i dont know but

explanation:

whoever your teacher is, deserves a raise for using pokemon as an example

Answer from: Quest

the first american roller coaster was the mauch chunk switchback railway, built in the mountains of pennsylvania in the mid-1800s. the track, originally built to send coal to a railway, was reconfigured as a "scenic tour."

Another question on Physics

Physics, 21.06.2019 23:30

You and a friend (alex) are at a a tree-top adventure park .. . part of the course requires you to climb up a rope. you both climb the same rope in the same amount of time. however, the tension in the rope is greater when alex climbs. who did the most work? alex did - more tension means more force - more force means more work was done you did - less tension means less force - less force means more work was done to find the work done, the force exerted and distance moved are multiplied. a couch is moved twice before you are happy with its placement. the same force was used to move the couch both times. if more work is done the first time it is moved, what do you know about the distance it was moved? when more work was done, the couch was moved less. when more work was done, the couch was moved further. when more work was done, the couch wasn't moved at all. when more work was done, the couch was moved the same distance.

Answers: 2

Answer

Physics, 22.06.2019 08:00

5g of ammonium nitrate was dissolved in 60g of water in an insulated container. the temperature at the start of the reaction was 23.0°c and at the end it was 19.0°c. calculate the energy absorbed by the reaction.

Answers: 3

Answer

Physics, 22.06.2019 13:30

Place me with this question is my last question

Answers: 3

Answer

Physics, 23.06.2019 00:30

Which of the following is a true statement about the acceleration ~a of the pendulum bob ~a is equal to the acceleration due to gravity. ~a is perpendicular to the bob’s trajectory. ~a is equal to the instantaneous rate of change in velocity. ~a is tangent to the bob’s trajectory.

Answers: 1

Answer

You know the right answer?

1. suppose a tank filled with water has a liquid column with a height of 10 meters. if the area is 2...

Questions