A hollow plastic sphere is held below the surface of a freshwater lake by a cord anchored to the bottom of the lake. The sphere has a volume of 0.750 m 3 and the tension in the cord is 900 N. (a) Calculate the buoyant force exerted by the water on the sphere. (b) What is the mass of the sphere? (c) The cord breaks and the sphere rises to the surface. When the sphere comes to rest, what fraction of its volume will be submerged? A slab of ice floats on a freshwater lake. What minimum volume must the slab have for a 55.0-kg woman to be able to stand on it without getting her feet wet?
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
A hollow plastic sphere is held below the surface of a freshwater lake by a cord anchored to the
bottom of the lake. The sphere has a volume of 0.750 m 3 and the tension in the cord is 900 N.
(a) Calculate the buoyant force exerted by the water on the sphere. (b) What is the mass of
the sphere? (c) The cord breaks and the sphere rises to the surface. When the sphere comes
to rest, what fraction of its volume will be submerged? A slab of ice floats on a freshwater lake.
What minimum volume must the slab have for a 55.0-kg woman to be able to stand on it
without getting her feet wet?
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