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 water in tank B exerts a downward force on the sides of the tank.
B) The pressure exerted on the bottom of tank A is greater than for the other tanks.
C) The force exerted by the water on the bottom of tank B is ... the force exerted by the water on the bottom of tank A
D) The pressure at the bottom of tank B is ... the pressure at the bottom of tank C
E) The force due to the water on the bottom of tank B is .... the weight of the water in the tank
You first
A) T
B) G
C) E
D) L
E) E
To answer the questions, let's consider the principles of hydrostatic pressure and Pascal's law.
A) The water in tank B exerts a downward force on the sides of the tank. (True)
Explanation: The water in all tanks exerts a downward force on the sides of the tank since the weight of the water causes pressure in all directions, including downwards.
B) The pressure exerted on the bottom of tank A is greater than for the other tanks. (True)
Explanation: The pressure at the bottom of a fluid is dependent on the height and density of the fluid. Tank A has the greatest surface area at the bottom, which means that the weight of the water is spread out over a larger area. This results in a lower pressure compared to tanks B and C, where the same amount of water is concentrated on a smaller area.
C) The force exerted by the water on the bottom of tank B is greater than the force exerted by the water on the bottom of tank A. (False)
Explanation: The force exerted by the water on the bottom of a tank is equal to the weight of the water above it. Since all three tanks have the same height and are filled with water to an equal depth, the force exerted by the water on the bottom will be the same for tanks A and B.
D) The pressure at the bottom of tank B is less than the pressure at the bottom of tank C. (Greater than)
Explanation: The pressure at the bottom of a fluid is determined by the height and density of the fluid. Since tanks B and C have the same height and are filled with water to an equal depth, the pressure at the bottom will be equal. However, tank B has a smaller surface area at the bottom compared to tank C, which means that the pressure is concentrated over a smaller area. Therefore, the pressure at the bottom of tank B is greater than the pressure at the bottom of tank C.
E) The force due to the water on the bottom of tank B is equal to the weight of the water in the tank. (True)
Explanation: The force due to the water on the bottom of a tank is equal to the weight of the water above it. This is because the weight of the water creates a downward force. Since the water in tank B exerts a force on the bottom, it is equal to the weight of the water in the tank.
TFLEE
I've looked at a few examples like this but I can't seem to get it.