2
$\begingroup$

i'm trying to determine a formula for $\Delta M=M-M_{apparent}$ in terms of $\rho_o , \rho_w , M$ for a fully submerged object and I have no idea where to begin. I have attempted to draw a force diagram but it did not help.

$\endgroup$
0
$\begingroup$

Just to correct you, there is no such thing as apparent mass. Mass is a constant here. The correct term used should be weight.

Let the mass be $M$. Then the weight will be $Mg$, and the apparent weight $Mg-\rho_{w}Vg$, where $V$ is the volume of the water displaced by the object.

Do take a look at the following diagram. The image here shows how the forces act.

enter image description here

Hence, $\Delta W$ is equivalent to the buoyant force, $\rho_{w}Vg$.

$\endgroup$
  • $\begingroup$ Thank you, that makes more sense, I think I was just getting confused with the term 'apparent mass'. $\endgroup$ – Lucas Hasil Aug 28 '18 at 9:03
1
$\begingroup$

Use density = mass/volume

The most important thing here is finding the volume of the object, which is mass of the object divided by density of the object.

I think you can find the answer now, you have to work on it. Solving all of the problem is not allowed, and not good for you.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.