1. The gauge pressure at the bottom of a cylindrical container that is open to an atmosphere and holding some amount of water is 100 kPa.

(a) Determine the depth of the water.

(b) Determine the total pressure at the bottom of the container.

2. A small plastic cube floats in water as shown in the picture on the left. Each side of the cube is 10 cm. The mass of the cube is 1000 grams. Calculate the following:

1. The density of the material for the cube.
2. The magnitude of the buoyant force acting on the cube while it floats.
3. The volume of that part of the cube that is in water (below the surface).
4. The magnitude of the additional force that is sufficient to be applied to the cube in order to completely submerge it in water.