A small wooden boat floats in a swimming pool, and you’re observing the water level at the edge of the pool. Consider the following situations, and explain whether the water level will rise, fall, or stay the same:
(a) The boat is removed from the water
(b) The boat was originally holding an iron anchor which is then removed from the boat and placed on the shore.
(c) The boat was originally holding an iron anchor which is then removed from the boat and dropped in the pool.
2007-11-15 16:45:50 · 4 answers · asked by Nik 1 in Science & Mathematics ➔ Physics
A] First, think what happens when the boat was put into the pool; the boat has to displace it's weight in water, thus causing the level in the pool to rise, so if the boat is removed, the water level will fall as the boat will no longer be displacing the water.
B] when the anchor is removed and placed on shore, you have reduced the displacement of the boat (it sits less deep in the water) so the water level in the pool will fall.
C] This one is a little more tricky; when the anchor is IN the BOAT it displaces its MASS in water; when the anchor is dropped into the POOL it displaces it's VOLUME in water. Note: since iron is about 7 x the density of water, displacing its mass in water has about a 7-fold greater effect than displacing it's volume in water.
When initially, you lift the anchor out, the situation is similar to part B, the water level drops, when you drop the anchor in the pool the water level rises again but only about 1/7th of the way back to the "original" height; so the net effect is the water level drops.
2007-11-15 17:07:05 · answer #1 · answered by Flying Dragon 7 · 5⤊ 0⤋
Well, even if the boat is floating, some part of it is under the water, and so that is displacing SOME amount of water, so it would raise the water level slightly. The water level would then return to normal when the boat is removed, and will rise again when the anchor is dropped into the pool.
Not sure what you are asking with b, because the first part says the boat is removed from the water. If the boat is still IN the water, and the anchor is removed and put on shore, the water level will rise because this will cause the boat to weigh less and displace less water.
2007-11-15 16:54:33 · answer #2 · answered by specimenq5 2 · 0⤊ 0⤋
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2016-12-24 00:44:16 · answer #3 · answered by Anonymous · 0⤊ 0⤋
a) The water level will fall slightly, because the boat had displaced some water up to the point of submersion.
b) The water level will fall slightly, because the removed weight of the anchor had displaced some water.
c) The water level should fall ever so slightly because the anchors weight will have more of an effect than its mass.
2007-11-15 16:57:43 · answer #4 · answered by jamazing41 3 · 0⤊ 0⤋
The water level does not alter. When the fish drops the stone water fills the space in the fishes mouth that was occupied by the stone. And the stone displaces other water in other places. So the total volume of water displaced does not alter.
2016-03-14 14:55:15 · answer #5 · answered by ? 4 · 0⤊ 0⤋