11.2. Introduction

Try these first

1. 1.

   Define buoyancy.

   Hint

   Think about how objects float.

2. 2.

   What does Archimedes' principle state?

   Hint

   Remember the relationship between weight and displacement.

3. 3.

   What does Archimedes' principle describe?

   • Buoyant force equals weight of displaced fluid
   • Weight equals mass times gravity
   • Pressure equals force divided by area

   Hint

   Think about floating objects in fluid.

4. 4.

   True or False: A metacenter is where buoyant force acts when the object is tilted.

   • True
   • False

   Hint

   Recall the earlier discussion about buoyancy.

5. 5.

   A rectangular box is submerged in water. If the box dimensions are 2m x 1m x 1m, with a density of 500 kg/m³, calculate the buoyant force acting on the box.

   Hint

   Use the formula: Buoyant Force = Density of Fluid * Volume Displaced * g.

6. 6.

   A floating object is observed to have its center of gravity and metacenter coinciding. What type of equilibrium is this, and what does it imply about the object's stability?

   Hint

   Consider the implications when buoyancy and weight act through the same point.