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AP Physics 2 Videos 59 videos

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AP Physics 2: 1.1 Object Interaction and Forces 171 Views


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AP Physics 2: 1.1 Object Interaction and Forces. Approximately what fraction of the iron cube is submerged in the liquid mercury?


Transcript

00:00

Thank you We sneak and here's your smoke du jour

00:05

brought to you by heavy metal Mercury is a heavy

00:08

metal and we were heavy metal to uh we're about

00:11

six months aren't following information may be useful Density of

00:16

iron is seven point eight eight grand person amir cubed

00:20

dancey of mercury is removed Three agency of water is

00:23

one all right Well as the on ly metal that

00:26

is liquid at room temperature mercury is a curious metal

00:31

If we placed one cubic centimeter iron cube into a

00:35

cup of water it would quickly sink However if we

00:39

place that same iron cube into a cup of mercury

00:42

it would float approximately what fraction of the iron cube

00:46

is submerged in the liquid mercury And here the potential

00:51

answer All right Well here we go Mercury is a

00:56

pretty cool medal It's the only metal that's liquid at

00:58

room temperature it's also poisonous mercury is very dance which

01:03

means that even heavy things will float in it when

01:07

something or someone floats The downward force of gravity is

01:11

counterbalanced by the upward force of the material It's A

01:15

floating in that upward force is called buoyancy The downward

01:20

wait is expressed as density times volume times gravity where

01:24

volume equals the total volume of the floating object Well

01:28

the buoyant forces expresses the density of the fluid times

01:31

the volume of the submerged portion of the floating object

01:34

times gravity The buoyant force also equals the weight of

01:37

the displaced fluid Well for this question we need to

01:40

figure out how much of the little iron block is

01:43

submerged in the mercury All right well now we could

01:46

probably think a ruler in measure everything and calculated percentage

01:48

but well it sounds like a lot of work Luckily

01:51

for us there's an easier way in any buoyant system

01:53

The fraction of the object that submerged in a fluid

01:56

can be figured as a ratio of the densities of

01:58

the object and the fur fluid The ratio of the

02:01

volume of the submerged portion of the object to its

02:04

total volume is equal to the ratio of the density

02:07

of the floating object to the density of the fluid

02:10

it's floating in it's a good thing we were given

02:12

the densities than material when we started this whole thing

02:15

Otherwise we'd be a finger deep in mercury and did

02:17

we mention the whole poison thing Yeah well the density

02:20

of iron is seven point eight eight grams per cubic

02:23

centimeter and the density of mercury is thirteen point three

02:26

five grams per cubic centimeter When we plugged those numbers

02:30

in like this we find that fifty eight percent of

02:33

the cube is submerged and we're looking for an approximate

02:36

here So answer c is the right choice And as

02:40

with a lot of things in physics there's more than

02:42

one way to look at buoyancy It just depends on

02:44

what we're trying to figure out and sometimes figuring ourselves

02:47

out involves leopard print tights and a lot of makeup 00:02:51.015 --> [endTime] Yeah

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