A 0.10-m ×0.20-m ×0.30-m block is suspended from a wire and is completely under water. What buoy

step 1 We know that when a body immersed in a feud at rest, the bottom surface experiences greater pres

A 0.10-m ×0.20-m ×0.30-m block is suspended from a wire and...

Key Concepts

Archimedes' Principle

Archimedes' principle states that any object wholly or partially immersed in a fluid experiences an upward force (buoyant force) equal to the weight of the fluid that is displaced by the object. This fundamental concept underpins the study of buoyancy and explains why objects either float, sink, or remain suspended in a fluid.

Buoyant Force

The buoyant force is the net upward force exerted by a fluid on a submerged object. It is calculated by multiplying the volume of fluid displaced by the object by the density of the fluid and the acceleration due to gravity, which together give the weight of the displaced fluid.

Volume Displacement

Volume displacement refers to the amount of fluid that is pushed aside or replaced by an object when it is submerged. In buoyancy problems, the magnitude of the displaced fluid volume directly determines the size of the buoyant force acting on the object.

Fluid Density

Fluid density is a measure of the mass per unit volume of a fluid and is a critical factor in buoyancy calculations. It directly influences the weight of the fluid displaced by an object, thereby affecting the buoyant force experienced by the object.

Gravitational Acceleration

Gravitational acceleration is the rate at which objects accelerate towards the Earth due to gravity. This constant, typically approximated as 9.8 m/s² on Earth, is used in the calculation of weight from mass and is essential for determining the buoyant force, which is based on the weight of the displaced fluid.

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