Suppose a piece of Styrofoam, p = 180 kg/m3, is held completely submerged in water (Fig. 14.46).

Question:

Suppose a piece of Styrofoam, p = 180 kg/m3, is held completely submerged in water (Fig. 14.46).
(a) What is the tension in the cord? Find this using Archimedes's principle.
(b) Use P = Po + pgh to calculate directly the force exerted by the water on the two sloped sides and the bottom of the Styrofoam; then show that the vector sum of these forces is the buoyant force.