# 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.

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What Is Buoyancy? - Explanation & Equation

from Physical Science: Middle School

Chapter 8 / Lesson 3
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