Copyright

A block of wood has a mass of 100 grams and a volume of 150 ml. Water has a density of 1 g/ml....

Question:

A block of wood has a mass of 100 grams and a volume of 150 ml. Water has a density of 1 g/ml. Will the block of wood float or sink?

Buoyant Force

The buoyant force is given by the weight of the submerged object, times the ratio of the fluid density to the object density.

{eq}F_B=mg \frac{\rho_f}{\rho_o} {/eq}

Answer and Explanation:

The density of wood is given by:

{eq}\rho_w=\dfrac{100 g}{150 ml}=0.667 \frac{g}{ml} {/eq}

The density of water divided by this will give a ratio greater than one, which means the buoyant force will be greater than the weight of the block. The block will float.


Learn more about this topic:

Loading...
What Is Buoyancy? - Explanation & Equation

from Physical Science: Middle School

Chapter 8 / Lesson 3
60K

Related to this Question

Explore our homework questions and answers library