A balloon launched from sea level has a volume of approximately 4 m^3. What is the approximate

step 1 The bient force is given by the volume submerged inside the fluid into the density of the fluid

A balloon launched from sea level has a volume of...

A balloon launched from sea level has a volume of approximately $4 \mathrm{~m}^{3}$. What is the approximate buoyant force on the balloon?
A. $50 \mathrm{~N}$
B. $40 \mathrm{~N}$
C. $20 \mathrm{~N}$
D. $10 \mathrm{~N}$

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Key Concepts

Archimedes' Principle

This principle states that a body submerged in a fluid experiences an upward buoyant force equal to the weight of the fluid that the body displaces. It is fundamental in understanding why objects float or sink and is applicable to all fluids in equilibrium.

Buoyant Force Calculation

Buoyant force is calculated by multiplying the volume of the displaced fluid by the fluid's density and the acceleration due to gravity. This concept is crucial for solving problems related to floating objects or gases, where the weight of the displaced medium determines the net upward force.

Fluid Density

Density is a measure of mass per unit volume and is an important property of fluids that determines how much mass is in a given volume. In buoyancy problems, knowing the density of the fluid allows one to calculate the weight of the displaced fluid, which in turn directly influences the buoyant force.

Gravitational Acceleration

Gravity provides the force that acts on the mass of the fluid, converting it into a weight. The standard acceleration due to gravity is typically taken as 9.8 m/s², and it is a key factor in calculating the weight of the displaced fluid, thereby influencing the magnitude of the buoyant force.

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