A 6.00-cm-diameter sphere with a mass of 89.3 g is neutrally buoyant in a liquid. Identify the liquid.

The average density of the body of a fish is 1080 kg/m³ . To keep from sinking, a fish increases its volume by inflating an internal air bladder, known as a swim bladder, with air. By what percent must the fish increase its volume to be neutrally buoyant in fresh water? The density of air at 20°C is 119 kg/m³.

In FIGURE CP14.74, a cone of density p₀ and total height l floats in a liquid of density pբ . The height of the cone above the liquid is h. What is the ratio h/l of the exposed height to the total height?

Styrofoam has a density of 150 kg/m³ . What is the maximum mass that can hang without sinking from a 50-cm-diameter Styrofoam sphere in water? Assume the volume of the mass is negligible compared to that of the sphere.

The bottom of a steel 'boat' is a 5.0 m x 10 m x 2.0 cm piece of steel (pₛₜₑₑₗ = 7900 kg/m³) . The sides are made of 0.50-cm-thick steel. What minimum height must the sides have for this boat to float in perfectly calm water?

What is the tension of the string in FIGURE EX14.19?

The tank shown in FIGURE CP14.73 is completely filled with a liquid of density p. The right face is not permanently attached to the tank but, instead, is held against a rubber seal by the tension in a spring. To prevent leakage, the spring must both pull with sufficient strength and prevent a torque from pushing the bottom of the right face out. (b) If the spring has the minimum tension, at what height d from the bottom must it be attached?