$[$VARIATE$]$ Buoyancy: A rectangular block of width $L($into the page$)$ is submerged into a two$-$

layer fluid with different specific gravities. Answer the following;

a$.$ What is the buoyant force acting on an object submerged in a fluid, according to Archimedes'

Principle?

i$.$ The weight of the object plus the atmospheric pressure acting on its surface

ii$.$ The weight of the fluid displaced by the object, which is determined by the object's volume

and the fluid's density

iii. The total weight of the fluid above the object

iv$.$ The difference between the object's weight in air and its weight in the fluid

b$.$ Estimate the specific gravity of the block if the block stavs ahove the hottom fluid

c$.$ Determine the depth of submergence in ths

bottom layer if $S{G}_{\text{b}\text{l}\text{o}\text{c}\text{k}}=1\mathrm{.}1.$

Ans: