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If you are on a boat and you throw out a suitcase, will the level of water increase?
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If you are on a boat and you throw out a suitcase, will the level of water increase?
7,978 Views | (14 votes, avg: 3.71)
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No… as the total weight above water before throwing the suitcase is same as after throwing the suitcase.
Before throwing the suitcase:
Boat + You + Suitcase
And
After throwing the suitcase:
Boat + You + Suitcase
Hence the level of water will not increase…
Depends on if the suitcase leaks.
Since the boat does not leak, the suitcase is only adding weight to the boat, but if the suitcase leaks, the water level will actually decrease. Oh wait, that makes the answer No.
It depends on whether it is floating or sinked
If it floats, suitcase displace water by its weight which is same as it is in the boat so water level will not change
If it sinked, suitcase displace water by its volumn and since it sinked so it must displace less water than its weight so water level will drop in this case.
The answer is no in any case.
Is the boat in water?
i think it should be different because inthe
first case when the suitcase is in the boat then the level of the water is affected by the force applied by the it that is dependent on the weight of the suitcase.
where as inthe second case it is affected by the volume of the suitcase as the suitcase will sink into the water. also the leakage possible can affect the water level.
Yes, temporarily, if it floats!!!
If the weight to volume is more than the ratio for that of water 1g/1cc=1 (assuming pure water not salt water), then its going to sink and this would displace the same amount of water if it is on the boat or thrown overboard. So the water level would be the same when everything settles down.
If it floats, its still only going to displace the same amount of water as if was in the boat. SO the water levels will remain the same when everything is in equilibrium after settling down. Drop the suitcase onto dry land and the water level will sink. If you dropped the suitcase (not throw upwards), the water level will actual drop until the suitcase is fully emersed. However, here’s the kicker. The suitcase will actually displace more water when it initially enters the water because it is falling from a height so will displace more water temporarily until it reaches an equilbrium. The water level has dropped when the suitcase starts to fall, and risen more when entering the water because of the extra kinetic energy from the fall (think about it, it will actually displace more water as it enters the water than it does after settling at a floating position or falls to the bottom if heavier than water), and temporarily displaces more water than it did on the boat (so the water level does actually rise temporarily than when the suitcase was on the boat), then levels at the equalibrium.
If it’s thrown upwards, then there is an additional downwards force on the boat, which will displace more water and again the water level will temporarily rise. Hence my answer. Eureka!
So the real question is, does the suitcase float. If it sinks, it going to displace the same amount of water because its never going to bob back to a equalibrium position. Answer at top.
There is ambiguity around what the questioner means by “the level of water”.
Maji/4 is mostly correct, but assumes that the boat is in the water, the suitcase lands in the same body of water, and we’re talking here about the body of water in which the boat floats.
If the boat is in a lake and the suitcase lands on the dock, the water level of the lake will drop.
If the boat is in drydock and the suitcase lands in a lake, the water level of the lake will rise.
If the suitcase lands in a swimming pool, the water level of the lake will drop and the water level of the pool will rise.
Clarify your assumptions then pick an answer.
Also, it depends on what is meant by “throw out”. Let’s say I’m on a cruise ship making my way up the Alaska coast. As a doting great-grandfather I bring several toys in my suitcase to give to kids on the ship. Several days into the trip I have handed out all of my toys and have no need for the suitcase anymore. I throw out the suitcase in the garbage bin and head down to the lido deck for some suntanning and shuffleboard. The water level does not increase since the driving force on the boat is the same as before I junked the bag.
weight of water displaced = boat+suitcase+u…
which is the same before n after the fall… whether u fall or the suitcase falls.. water level is not gonna rise!!!
Although logical answer is No, it really depends where and when do you measure water level.
Where water level is measurable (you won’t be able to measure level in suitcases volume occupied space) : when time->infinity water level would not change.
During the time suitcase touches water and becomes stable: water level changes, with maximum level at suitcases edges, minimum at suitcases impact location(or say bottom). Change of level really depends on how the suitcase lands . But there will be a minimum level and a maximum level, before suitcase is stable in the water (either it floats or sinks).
If the suitcase floats (density suitcase density water displaced by the suitcase’s walls) then the volume taken by the walls of the suitcase will be less than the equivalent-by-weight water volume - again, decrease in water level.
The volume of water displaced (rise in water level) due to the box is weight equivalent to weight of the box, when the box is in the boat. This is explained by the buoyancy principle. When the box is thrown in the water, the volume of water displaced will be equal to the volume of the box. As assuming the density of box to be higher than the water, more water was displaced when box was kept in the boat, than the volume of box itself. So, when thrown in water, the level of water should go down. If the density of box is same as or less than the density of water, then the level of water will remain same. So, in no case, it will increase.
Amrit, you are the one who is right. The rest can Google archimede and his principles.
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