Copper's density is 8900 kg / m^3, and water's is 1000 kg / m^3. What is the buoyant force on

step 1 As we all know that the expression for the buoyant force is given by fb is equal to Rho liquid m

Copper's density is 8900 kg / m^3, and water's is 1000 kg...

Copper's density is $8900 \mathrm{~kg} / \mathrm{m}^{3},$ and water's is $1000 \mathrm{~kg} / \mathrm{m}^{3}$. What is the buoyant force on a solid copper cube, $3.9 \mathrm{~cm}$ on a side, submerged in water? (a) $0.06 \mathrm{~N}$ (b) $0.63 \mathrm{~N}$; (c) $4.5 \mathrm{~N}$ (d) $6.1 \mathrm{~N}$.

Copper's density is $8900 \mathrm{~kg} / \mathrm{m}^{3},$ and water's is $1000 \mathrm{~kg} / \mathrm{m}^{3}$. What is the buoyant force on a solid copper cube, $3.9 \mathrm{~cm}$ on a side, submerged in water?
(a) $0.06 \mathrm{~N}$
(b) $0.63 \mathrm{~N}$;
(c) $4.5 \mathrm{~N}$
(d) $6.1 \mathrm{~N}$.

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

Archimedes’ Principle

Archimedes’ Principle states that a body fully or partially submerged in a fluid experiences an upward force equal to the weight of the fluid it displaces. This concept is fundamental in understanding buoyancy and is widely used in fluid mechanics to analyze how objects behave when immersed in fluids.

Density

Density is defined as mass per unit volume and is a key property in determining the behavior of materials in fluids. In buoyancy problems, the density of the fluid helps determine the weight of the displaced fluid, which is directly related to the magnitude of the buoyant force.

Volume Calculation in Three Dimensions

Calculating the volume of an object is crucial for determining the amount of fluid displaced when it is submerged. For regular shapes, such as a cube, the volume is found by multiplying its dimensions, allowing one to compute the displaced fluid’s weight using the density of the fluid.

Unit Conversion

Unit conversion is essential in physical calculations to ensure consistency and accuracy, especially when measurements are given in different units. Converting values to standard SI units, such as meters for length, ensures that all calculations conform to the appropriate unit system, enabling correct computation of quantities like force.

Transcript

Please give Ace some feedback