Question

1. The three tanks shown above are filled with water to an equal depth. All the tanks have an equal height. Tank A has the least surface area at the bottom, tank B has the greatest and tank C has the middle area at the bottom.
(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 total force exerted by the water on the bottom of tank B is ... the total force exerted by the water on the bottom of tank C
B) The pressure at the bottom of tank B is ... the pressure at the bottom of tank C
C) The air pressure right at the top surface of water in tank C is .... the air pressure right at the top surface of water in tank B
D) The pressure exerted on the bottom of tank B is greater than for the other tanks.
E) The water in tank B exerts a downward component of force on the sides of the tank.

2. Find the initial acceleration downwards of an iron ball of density 8.7 g/cm³ when placed under water and released from rest.

3. A spherically shaped balloon has a radius of 9.90m, and is filled with helium. How large a mass of cargo can it lift, assuming that the skin and structure of the balloon have a mass of 930kg? Neglect the bouyant force on the cargo volume itself. The density of air is 1.29 kg/m³ and the density of helium is 0.179 kg/m³.

Answer 1

pressure = density * g * height

so,

pressure is not dependent of the area it's dependent on the height

A) The total force exerted by the water on the bottom of tank B is Greater than the total force exerted by the water on the bottom of tank C
B) The pressure at the bottom of tank B is Equal to the pressure at the bottom of tank C
C) The air pressure right at the top surface of water in tank C is Equal to the air pressure right at the top surface of water in tank B
D) The pressure exerted on the bottom of tank B is greater than for the other tanks False
E) The water in tank B exerts a downward component of force on the sides of the tank False

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