2. An object will sink in a liquid if the density of the object is greater than that of the liquid. The mass of a sphere is 9.83 g. If the volume of this sphere is less than __________ cm3, then the sphere will sink in liquid mercury (density = 13.6 g/cm3).

first blank:

D=13.6=9.83/V

V<=9.83/13.6

I don't understand how one gets velocity from mass = volume x density.

If the volume of this sphere is less than the total number of times I've embarrassed myself in public, then the sphere will definitely sink in liquid mercury. And trust me, that number is so high even I've lost count!

To solve this problem, we need to use the formula for density:

Density = Mass / Volume

Given that the mass of the sphere is 9.83 g, we can rearrange the formula to solve for volume:

Volume = Mass / Density

Substituting the given density of liquid mercury (13.6 g/cm3), we have:

Volume = 9.83 g / 13.6 g/cm3

Simplifying, we find:

Volume ≈ 0.722 cm3

Therefore, if the volume of the sphere is less than approximately 0.722 cm3, the sphere will sink in liquid mercury.

Density=13.6=9.83/Velocity

Velocity=9.83/13.6