Question

If you know the length, width, and mass of the boat as well as the density of the liquid, how would you calculate how far the boat sinks into the liquid? This is from the Archimedes principle gizmo lab.

Answer 1

To calculate how far the boat sinks into the liquid, you can use Archimedes' principle. According to Archimedes' principle, the buoyant force experienced by an object submerged in a fluid is equal to the weight of the fluid displaced.

Step-by-step explanation:

To calculate how far the boat sinks into the liquid, you can use Archimedes' principle. According to Archimedes' principle, the buoyant force experienced by an object submerged in a fluid is equal to the weight of the fluid displaced.

The buoyant force can be calculated using the formula:

Buoyant force = Weight of the fluid displaced

By knowing the density of the liquid, you can determine the weight of the fluid displaced by the boat. The weight of the fluid displaced is equal to the mass of the fluid displaced multiplied by the acceleration due to gravity.

Using the formula:

Weight of the fluid displaced = Density of the liquid * Volume of the fluid displaced * Acceleration due to gravity

Once you have calculated the weight of the fluid displaced, you can equate it to the buoyant force to find the volume of the fluid displaced. This volume can then be used to calculate how far the boat sinks into the liquid.