PLEASE HELP ASAP!!! How can I calculate the Buoyancy force? Please show the step

Question

PLEASE HELP ASAP!!! How can I calculate the Buoyancy force? Please show the steps to do it. I am super confused on this problem and need to know how to approach and do this problem.

The density of auy amounl o maller is defined as lhe ratio between its mass Mand the volutne it occupies P: where the mass is in kg and the volume in m in the SI system of units, so the units of density are kg/m. Another common unit for volume is the cubic centimeter (cm3 or cc), which is equal to one milliliter (ml, one thousand of a liter). When the mass is measured in grams ig, dont confuse it with the acceleration of gravity g!), the density is then given in g/cm3 or gml Question What is the deusity of a metal cube whose side dimension is exactly 2.54 cm and whose mass is 223 g? (Include units.) The ratio between the magnitude of a force F and the area A over which this force is applied is called the pressure P, which is a scalar (a number with units; it is not a vector, it does not have a direction 7-. When the sorce is in newts shapc. the area in m-. The ratio Nled a pascal (Pa). The concepl of pressure is very importaut when dealing with gases, luids, and objects thao solid or do nt retain teir Question 2 If the metal cube in question 1 were resting on a lat sheet with a thin layer of oil between its lower face aud the sheet, what would the pressure in the oil underneath the cube be? You may assume that g 9.81 mis2Include units.) Punder biock 3390.83 Nim Archimedes Principle: An object totally or partially submerged in a fluid of density Pfluid cxpericnces an upward force (buoyant force, hryzor F'b) given by F Phuidg where g is the acceleration of gravity on Earths surface, 9.81 ms2 and Vis the volume su merged (total volume for a coupletely submerged o ice or the raction of the volame v uch is actually submerged. T° obtain the force in newtons one mist use the fluid density in kg'm3 and the volume in m. An equivalent way of stating Archimedes Principle is that the buoyant force is equal in magnitude to the weight of the fluid that is "displaced" by the object. Question 3 lf the metal cube in question 1 were completely subuerged in a liquid of density Pi-0.957 g cn3, what would the magnitude of the buoyaat force be ou the cubeInclude units.)

Explanation / Answer

3)We know that the Buoyant force on a completely submerged object is given by:

Fb = rho g V

we have, rho = 0.957 g/cm^3 = 957 kg/m^3 ; g = 9.81 m/s^2

V = volume of a cube with side, a = 2.54 cm = 0.0254 m

V = a^3 = (0.0254)^3 = 1.64 x 10^-5 m^3

Fb = 957 x 9.81 x 1.64 x 10^-5 = 0.154 N

Hence, Fb = 0.154 N

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