As the water runs out, it will be observed that the velocity of the
stream becomes less and the curve which it describes sharper, so that it
comes to the ground sooner; and finally, when the vat is nearly empty,
the stream falls nearly vertically downwards. The reason of this is that
the level of the top of the water is gradually lowered; consequently,
the height of the column which presses on the water close to the tap is
gradually lessened, and therefore its weight is diminished. But this
weight or pressure is the cause of the motion of the water, and as the
cause diminishes the effect of that cause must diminish. Therefore the
momentum of the water is gradually lessened and it is carried less and
less far horizontally in the time which it takes to fall to the ground:
until finally, it acquires no appreciable horizontal motion at all, and
so falls vertically downwards from the mouth of the tap.
29. =The Energy of Moving Water.=
If a short pipe bent at right angles like the letter =L= is fitted by
one arm on to the end of the tap, while the other is turned vertically
upwards, and the vat is full as before; when the tap is turned, the
water will shoot up into the air, and after rising for a certain
distance will stop, and then fall. In fact we shall have a fountain.
Observe the difference between the vertical jet of water and the
horizontal jet. If we leave the resistance of the air out of
consideration, the water in the horizontal jet has no obstacle to
overcome; and it might go on for ever, if its weight did not gradually
cause its path to become more and more bent towards the earth, against
which it eventually strikes.
When the jet is vertical the case is altered. The water thrown up
vertically constantly tends to fall down vertically, as any other heavy
body would do, and its momentum has to overcome the obstacle of its
gravity. Any given portion of the water is, in fact, acted upon by two
opposite tendencies, momentum urging it up, and gravity pulling it down.
Now if two equal tendencies exactly oppose one another, the body upon
which they act does not move at all; while, if one is stronger than the
other, the body moves in the direction of the stronger.
Thus a portion of water which has just left the spout shoots up, because
the velocity with which it is impelled upwards is sufficient to carry it
through a greater space in a given time, say a second, than that through
which its gravity would, in the same time, impel it downwards.
Public-domain text, read in full here on John Shaqi.
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