107k views
21 votes
A cork dropped into a water filled beaker floats with volume V1 representing the portion of cork above water. When it is dropped in a beaker containing corn syrup, it floats with its volume V2 (again, the portion of cork above syrup). How do these volumes compare?A. V1 = V2.B. V1 > V2.C. V1 < V2.D. V1 ≥ V2.

1 Answer

10 votes

Answer:

C. V1 < V2

Step-by-step explanation:

The computation is shown below:

As we know that

Byoyancy force represent the displaced water weight


B = V_(in),_(w)P_(w)g


V_(in),_(w) denotes cork volume that inside the water


P_(w) denotes water density

And, byoyancy force represent the displaced weight of corn syrup


B = V_(in),_(syr)P_(syr)g


V_(in),_(syr) denotes the cork volume that inside the water


P_(syr) denotes syrup density

Now


P_(syr)>P_(w)\\\\V_(in),_(syr)<V_(in),_(wat)\\\\V_2>V_1 or V_1 <V_2

Hence, the option c is correct

User Manoel Stilpen
by
7.4k points