Identical-sized cubes of (read equal volumes of) lead and aluminum are at differ

Question

Identical-sized cubes of (read equal volumes of) lead and aluminum are at different depths in a large vat of water and are suspended from above by two wires. The wires are keeping the cubes from sinking, but the lead cube is sitting at a depth twice that of the aluminum cube.

a. Which cube experiences a greater buoyant force?

b. For which cube is the tension in the wire greater?

c. Which cube experiences a greater force on its lower face?
d. For which cube is the difference in pressure between the upper and lower faces greater?

please explain each answer.

Explanation / Answer

(a) Both have same volume, so equal volume of displaced water, hence buoyant force is same for both.

(b) Tension is greater for the case of lead cube, since density of lead is more than the aluminium, hence weight of lead cube is more, therefore Tension is more

(c) Since lead cube is sitting at a greater depth, and since Prssure increases with depth, the lower face of lead cube will experience more Force

(d) Difference in Pressure between upper and lower face depends on the height of cube, which is same for both, hence it will be same for both cubes.

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