11.4. Buoyancy

Try these first

1. 1.

   What is buoyancy?

   Hint

   Think about floating objects.

2. 2.

   What did Archimedes discover?

   Hint

   It involves what happens when objects are placed in water.

3. 3.

   What does Archimedes' principle state?

   • The buoyant force is less than the weight of the object
   • The buoyant force is equal to the weight of the fluid displaced
   • The buoyant force is always equal to zero

   Hint

   Recall what happens to objects submerged in fluids.

4. 4.

   True or False: The center of buoyancy can change when a submerged object is tilted.

   • True
   • False

   Hint

   Think about how the shape of an object submerged in water can shift.

5. 5.

   A ship has a center of gravity located 3 meters above the waterline, and the metacenter is 5 meters above the waterline. Will the ship be stable or unstable?

   Hint

   Evaluate the stability based on the vertical relationships.

6. 6.

   A spherical object has a diameter of 0.5 m and is submerged in water (density = 1000 kg/m³). Calculate the buoyant force acting on the object.

   Hint

   Use the formula for the volume of a sphere and apply the force of gravity on the displaced fluid.