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Physics 12 Online
OpenStudy (anonymous):

A piece of titanium metal has a mass of 67.5g and a volume of 15 cm3. what is the density of titanium?

OpenStudy (anonymous):

@Miracrown

Miracrown (miracrown):

Are you familiar with density?

OpenStudy (anonymous):

somewhat, I just don't know how to calculate it.

Miracrown (miracrown):

Density is measured in mass per volume and the formula for density is: \[D =\frac{ Mass }{ Volume }\]

Miracrown (miracrown):

So in this question, what's the volume for mass?

OpenStudy (anonymous):

so just divide the numbers?

Miracrown (miracrown):

That's right. Our mass is 67.5g and our volume is 16cm^3: \[D= \frac{ 67.5g }{ 15cm ^{3} } = ?\] So when we calculate this out, what does the density come out to?

Miracrown (miracrown):

sorry i meant our volume is 15cm^3 * typo.

OpenStudy (anonymous):

0.02?

Miracrown (miracrown):

nope, how'd you got 0.02?

OpenStudy (anonymous):

67.5/15^3 calculator.

Miracrown (miracrown):

No, 15^3 is 15 cm cubed... so you weren't supposed to calculate the cubed bit. Calculate this: \[\frac{ 67.5 }{ 15 } = ?\]

OpenStudy (anonymous):

oh ok.4.5?

Miracrown (miracrown):

yes, that's correct... and the units would be?

OpenStudy (anonymous):

cm3

Miracrown (miracrown):

You're close; cm^3 is right but there is also grams. Remember we divided a mass by a volume so out units must be the units of mass divided by the volume.So our units of mass here are grams on the top and then our units of volume are cm^3 so this will be our units on the bottom. Its going to look like this... Density = 4.5g/cm^3

OpenStudy (anonymous):

god you are smart!!!!

OpenStudy (anonymous):

could you help me with three more?

Miracrown (miracrown):

I'm busy right now, but maybe a bit later. If your questions are related to the one we just did now then you can always refer to it and use it as a example to help you out with the rest.

OpenStudy (anonymous):

ok thank you.

Miracrown (miracrown):

No worries. ;)

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