SECTION 4. _Sinking and floating: Displacement._

What keeps a balloon up?

What makes an iceberg float?

Why does cork float on the water and why do heavier substances

sink?

If iron sinks, why do iron ships not sink?

Again let us imagine ourselves up in the place where gravitation has

no effect. Suppose we lay a nail on the surface of a bowl of water. It

stays there and does not sink. This does not seem at all surprising,

of course, since the nail no longer has weight. But when we put a cork

in the midst of the water, it stays there instead of floating to the

surface. This seems peculiar, because the less a thing weighs the more

easily it floats. So when the cork weighs nothing at all, it seems

that it should float better than ever. Of course there is some

difficulty in deciding whether it ought to float toward the part of

the water nearest the floor or toward the part nearest the ceiling,

since there is no up or down; but one would think that it ought

somehow to get to the outside of the water and not stay exactly in the

middle. If put on the outside, however, it stays there as well.

A toy balloon, in the same way, will not go toward either the ceiling

or the floor, but just stays where it is put, no matter how light a

gas it is filled with.

The explanation is as follows: For an object to float on the water or

in the air, the water or air must be heavier than the object. It is

the water or air being pulled under the object by gravity, that pushes

it up. Therefore, if the air and water themselves weighed nothing, of

course they would be no heavier than the balloon or the cork; the

air or water would then not be pulled in under the balloon or cork by

gravity, and so would not push them up, or aside.

[Illustration: FIG. 11. The battleship is made of steel, yet it does

not sink.]

WHY IRON SHIPS FLOAT. When people first talked about building iron

ships, others laughed at them. "Iron sinks," they said, "and your

boats will go to the bottom of the sea." If the boats were solid iron

this would be true, for iron is certainly much heavier than water. But

if the iron is bent up at the edges,--as it is in a dish pan,--it has

to push much more water aside before it goes under than it would if it

were flattened out. The water displaced, or pushed aside, would have

to take up as much room as was taken up by the pan _and all the empty

space inside of it_, before the edge would go under. Naturally this

amount of water would weigh a great deal more than the empty pan.

But suppose you should fill the dish pan with water, or suppose it

leaked full. Then you would have the weight of all the water in it

added to the weight of the pan, and that would be heavy enough to push

aside the water in which it was floating and let the pan sink. This is

why a ship sometimes sinks when it springs a leak.

You may be able to see more clearly why an iron ship floats by this

example: Suppose your iron ship weighs 6000 tons and that the cargo

and crew weigh another 1000 tons. The whole thing, then, weighs 7000

tons. Now that ship is a big, bulky affair and takes up more space

than 7000 tons of water does. As it settles into the water it pushes

a great deal of water out of the way, and after it sinks a certain

distance it has pushed 7000 tons of water out of the way. Since the

ship weighs only 7000 tons, it evidently cannot push aside more than

that weight of water; so part of the ship stays above the water, and

all there is left for it to do is to float. If the ship should freeze

solid in the water where it floated and then could be lifted out of

the ice by a huge derrick, you would find that you could pour exactly

7000 tons of water into the hole where the ship had been.

But if you built your ship with so little air space in it that it took

less room than 7000 tons of water takes, it could go clear under the

water without pushing 7000 tons of water aside. Therefore a ship of

this kind would sink.

The earth's gravity is pulling on the ship and on the water. If the

ship has displaced (pushed aside) its own weight of water, gravity is

pulling down on the water as hard as it is on the ship; so the ship

cannot push any more water aside, and if there is enough air space in

it, the ship floats.

Perhaps the easiest way to say it is like this: Anything that is

lighter than the same volume of water will float; since a cubic foot

of wood weighs less than a cubic foot of water, the wood will float;

since a quart of oil is lighter than a quart of water, the oil will

float; since a pint of cream is lighter than a pint of milk, the cream

will rise. In the same way, anything that is lighter than the same

volume of air will be pushed up by the air. When a balloon with its

passengers weighs less than the amount of air that it takes the place

of at any one time, it will go up. Since a quart of warm air weighs

less than a quart of cold air, the warm air will rise.

You can see how a heavy substance like water pushes a lighter one,

like oil, up out of its way, in the following experiment:

EXPERIMENT 11. Fill one test tube to the brim with kerosene

slightly colored with a little iodine. Fill another test tube

to the brim with water, colored with a little blueing. Put a

small square of cardboard over the test tube of water, hold it

in place, and turn the test tube upside down. You can let go

of the cardboard now, as the air pressure will hold it up. Put

the mouth of the test tube of water exactly over the mouth of

the test tube of kerosene. Pull the cardboard out from between

the two tubes, or have some one else do this while you hold

the two tubes mouth to mouth. If you are careful, you will not

spill a drop. If nothing happens when the cardboard is pulled

away, gently rock the two tubes, holding their mouths tightly

together.

[Illustration: FIG. 12. The upper tube is filled with water and the

lower with oil. What will happen when she pulls the cardboard out?]

Oil is lighter than water, as you know, because you have seen a film

of oil floating on water. When you have the two test tubes in such a

position that the oil and water can change, the water is pulled down

under the kerosene because gravity is pulling harder on the water

than it is pulling on the kerosene. The water, therefore, goes to the

bottom and this forces the kerosene up.

_APPLICATION 6._ Three men were making a raft. For floats they

meant to use some air-tight galvanized iron cylinders. One

of them wanted to fill the cylinders with cork, "because," he

said, "cork is what you put in life preservers and it floats

better than anything I know of." "They'd be better with

nothing in them at all," said a second. "Pump all the air

out and leave vacuums. They're air-tight and they are strong

enough to resist the air pressure." But the third man said,

"Why, you've got to have some air in them to buoy them up.

Cork would be all right, but it isn't as light as air; so air

would be the best thing to fill them with."

Which way would the floats have worked best?

_APPLICATION 7._ A little girl was telling her class about

icebergs. "They are very dangerous," she said, "and ships are

often wrecked by running into them. You see, the sun melts

the top off them so that all there is left is under water. The

sailors can't see the ice under water, and so their ships

run into it and are sunk." Another girl objected to this; she

said, "That couldn't be; the ice would bob up as fast as the

top melted." "No, it wouldn't," said a boy. "If that lower

part wasn't heavier than water, it never would have stayed

under at all. And if it was heavier at the beginning, it would

still be heavier after the top melted off."

Who was right?

INFERENCE EXERCISE

Explain the following:

11. When you wash dishes, a cup often floats on top of the

water, while a plate made of the same sort of china sinks to

the bottom of the pan.

12. If you put the cup in sidewise, it sinks.

13. The water in the cup, when lying on its side, is exactly

as high as the water in the dish pan.

14. If you put a glass into the water, mouth first, the water

cannot get up into the glass; if you tip it a little, there

are bubbles in the water and some water enters the glass.

15. If you let a dish slip while you are wiping it, it crashes

to the floor.

16. It is much harder to hold a large platter while you are

wiping it than it is to hold a small butter plate.

17. If you set a hot glass upside down on the oilcloth table

cover, the oilcloth bulges up into it when the hot air and

steam shrink and leave a partial vacuum within the glass.

18. If you spill any of the dishwater on the floor, it

flattens out.

19. You may use a kind of soap that is full of invisible

little air bubbles; if you do, the soap will float on top of

the water.

20. When you drop a dry dishcloth into water, it floats until

all the pores are filled with water; then it sinks.

Common Science · 第 4 / 58 章