1. The dam shown below is 100 m wide. Determine the magnitude and location of the force on the inclined surface.
2. The float in a toilet tank is a sphere of radius R and is made of a material with ρ. An upward buoyant force F is required to shut the ballcock valve. The density of water is designated ρw. Develop an expression for x, the fraction of the float submerged, in terms of R, ρ, F, g, and ρw.