density question?

Question

Two samples, A and B, of equal mass are placed ina graduate cylinder containing 5.00 mL of water. A dislaces twice as much water as sample B. Which sample is more dense? By how much?

____
I'm guessing sample A??

Answer 1

OK, density = mass/volume.

Consider 5 ml water, both A & B have a mass of say 2 gram. Now A displaces say 4 ml water and B displaces half of 4 ml ie 2 ml. Putting these in the density formula

Density of A= 2/4 = 0.5 gram/ml
Density of B= 2/2 = 1 gram/ml

So sample B is more dense (twice that of A)

Answer 2

Sample B is more dense. Density is defined as mass divided by volume so if A displaces more water (and has the same mass as B) then it has a greater volume (for the same mass) and hence is less dense than B.
If A displaces twice as much water as B, then it has twice the volume and therefore half the density.

Doug

Answer 3

i think you are right.

Sample a could be lead, sample b could be cork........

Let me go on further. No where does the question say they are the same "DENSITY" they are the same mass (or volume). You can have a cubic foot of lead and a cubic foot of feathers. It is still a cubic foot. But the lead is much denser.

If A removes(displaces) twice the water as B, it would seem to me that object A sinks, object b floats, or sinks halfway.

There's my 2 cents.

Answer 4

A is twice as dense a B

Answer 5

d=m/v
as two samples have equal mass and volume i suppose the densities are equal too.

Answer 6

You're guessing incorrectly.