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## Example Questions

### Example Question #1 : Density, Specific Gravity, And Viscosity

The reason why a coconut floats in water is because __________.

**Possible Answers:**

the gravitational force acting on the coconut is less than the buoyant force

the density of the coconut is equal to the density of the water it displaces

the density of the coconut is less than the density of the water it displaces

the surface area of the coconut contacting the water is the same as the surface area of the water contacting the coconut

**Correct answer:**

the gravitational force acting on the coconut is less than the buoyant force

The equation for the buoyant force is . The gravitational force is constant. In order for the coconut to float, the buoyant force must be greater than the gravitational force. If the gravitational force is greater than the buoyant force, then the object will sink.

### Example Question #2 : Density, Specific Gravity, And Viscosity

A baseball has a mass of , but it weighs when completely submerged in water. What is its volume assuming that the density of water is ?

**Possible Answers:**

**Correct answer:**

We are given the mass of the baseball outside of the water. Using the weight equation with the gravitational constant being and the mass being , the weight of the baseball outside of the water is 4.905 N. (Be careful and convert the mass of the baseball from grams to kilograms since we are using SI units).

The buoyancy force is the difference of the weight of the baseball when it is in the air and when it is in the water. So subtract the two differences:

Now we use the buoyancy equation:

where is the buoyancy force, is the density of water, is the volume of the baseball, and is the gravitational constant. Plug in the known variables and solve for the volume.

and we get

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