Pressure and force in 3 different containers

[hellblazer970]

Homework Statement

A.

B.

C.

The three tanks shown above are filled with water to an equal depth. All the tanks have an equal height. Tank A has the greatest surface area at the bottom, tank B the least and tank C the middle.
(Select T-True, F-False, G-Greater than, L-Less than, E-Equal to. If the first is F the second L and the rest G, enter
FLGGGG).

A) The force exerted by the water on the bottom of tank A is ... the force exerted by the water on the bottom of tank C
B) The pressure at the bottom of tank A is ... the pressure at the bottom of tank B
C) The water in tank B exerts an upward force on the sides of the tank.
D) The force due to the water on the bottom of tank A is ... the weight of the water in the tank.
E) The pressure exerted on the bottom of tank B is smaller than for the other tanks.

Homework Equations

F= p*A
p = density*g*d

The Attempt at a Solution

I hate these types of problems because I know I'll have all but one wrong...
A: Greater Than, A has a larger surface area on the bottom, and thus has a larger force since pressure is the same because they have the same depth.
B: Equal To, pressure is just related to depth. Since they all have the same depth, the pressures are equal.
C: False, water does not come in contact vertically with the tank.
D: Equal To, even though the wall is exerting some force down on the water the water is exerting some force up on the walls.
E: False, the pressure is the same because all the containers are filled to the same height with the same liquid.

I greatly appreciate any help.

 

[Doc Al]

A: Greater Than, A has a larger surface area on the bottom, and thus has a larger force since pressure is the same because they have the same depth.
B: Equal To, pressure is just related to depth. Since they all have the same depth, the pressures are equal.

Perfectly correct answers and reasoning.

C: False, water does not come in contact vertically with the tank.

I don't understand the reason for your answer. The water certainly makes contact with the sides of the tank.

D: Equal To, even though the wall is exerting some force down on the water the water is exerting some force up on the walls.

What does the force of the wall on the water have to do with the weight of the water?

E: False, the pressure is the same because all the containers are filled to the same height with the same liquid.

Perfectly correct answer and reasoning.

 

[hellblazer970]

I don't understand the reason for your answer. The water certainly makes contact with the sides of the tank.

Well, what I think the question is asking is that does the water exert an upward force on the container (i think), so I presume it means something like this
http://www.hellblazer.cc/upload/uploads/water_b_phys1110.jpg
Which it certainly is not making contact with, so it should be false.

What does the force of the wall on the water have to do with the weight of the water

It shouldnt. F = pressure*area right? But I am not sure how to figure out if pressure*area = or < or > density*volume*g...

 

[Doc Al]

Well, what I think the question is asking is that does the water exert an upward force on the container (i think), so I presume it means something like this
http://www.hellblazer.cc/upload/uploads/water_b_phys1110.jpg
Which it certainly is not making contact with, so it should be false.

The question asks about the force the water exerts on the sides of the container. Is the water in contact with those sides? Yes. Does the water exert a force on those sides? Yes.

In what direction? (Does the force exerted by the water on the sides of the container have an upward component or a downward component?)

It shouldnt. F = pressure*area right? But I am not sure how to figure out if pressure*area = or < or > density*volume*g...

Hint: Pressure = density*g*height. Combine that with force = pressure*area.

 

[hellblazer970]

The question asks about the force the water exerts on the sides of the container. Is the water in contact with those sides? Yes. Does the water exert a force on those sides? Yes.

In what direction? (Does the force exerted by the water on the sides of the container have an upward component or a downward component?)

The water only exerts a downward force on the tank, so the answer must be false since its asking for does it have an upward component.

Hint: Pressure = density*g*height. Combine that with force = pressure*area.

Force/area = pressure
Force/area = density*g*height
Force = density*g*height*area
BUT the area does not stay the same with height. it is larger on the bottom so, density*g*height*area at the bottom > density*g*volume

Thank you very much, I appreciate your help, the above are correct.

 

[Doc Al]

Very good!