What fraction of the volume of a piece of quartz (ρ=2.65 g / cm^3) will be submerged when it is

step 1 Here in this given problem, density of a piece of quartz that is given as let it be represented

What fraction of the volume of a piece of quartz (ρ=2.65 g...

What fraction of the volume of a piece of quartz $\left(\rho=2.65 \mathrm{~g} / \mathrm{cm}^{3}\right)$ will be submerged when it is floating in a container of mercury $(\rho$ $\left.=13.6 \mathrm{~g} / \mathrm{cm}^{3}\right) ?$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Equilibrium of Floating Bodies

For a floating object to be in equilibrium, the buoyant force acting on it must exactly equal its weight. This balance determines the fraction of the object’s volume that is submerged, which can be found by relating the densities of the object and the fluid.

Buoyant Force

The buoyant force is the upward force exerted by a fluid on an immersed object. This force is calculated based on the volume of displaced fluid and its density, and it enables an object to float when it balances the object's weight.

Archimedes' Principle

Archimedes' Principle is a fundamental concept in fluid mechanics stating that any object partially or fully immersed in a fluid experiences an upward buoyant force equal to the weight of the fluid that it displaces. This principle is key for determining the floating or sinking behavior of objects in a fluid.

Density

Density, defined as mass per unit volume, is a critical property of both fluids and solid objects. It determines how much mass is contained in a given volume and plays a significant role in buoyancy, as the relative density of an object compared to the fluid governs whether and how it floats.

Transcript

Please give Ace some feedback