For Those Good In Physics water Level Problem.

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When a piece of lead is on a boat, it displaces water equal to its weight, raising the water level. Once thrown into the water, the lead displaces water equal to its volume, which is less due to its density. Consequently, the water level will fall when the lead is removed from the boat. The discussion highlights that the water level change is influenced by the relationship between weight and volume displacement. Overall, throwing the lead off the boat results in a decrease in water level.
cterence_chow
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For Those Good In Physics!water Level Problem.

Here's the question.

U are on a boat with a piece of lead on the boat.The water level rose due to more volume of water displaced.So, when we throw the piece of lead into the water,will the water level rise or fall or remain the same in its current water level?:
 
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i think the water level would fall relative to the boat. the piece of lead is denser than water and hence would not displace as much water to cause the water level to rise to meet the current water level. something that i have learned just yesterday. :D
 
cterence_chow said:
U are on a boat with a piece of lead on the boat.The water level rose due to more volume of water displaced.So, when we throw the piece of lead into the water,will the water level rise or fall or remain the same in its current water level?:
U? Who's U? It must be a group of people because you said "are."

Assuming the boat has a greater volume than the lead, the water level would go down. The lead displaces more mass inside the boat than if you threw it off, because it sinks.

If you had a small chunk of a neutron star and threw it into the ocean, than it would only displace its volume. If you thew it into a boat (and it didn't go through the boat), then it would displace a bit more.
 
All right man thanks guys, this question has been bugging me for a long time
 
How large is the body of water your boat is floating on? A swimming pool, or on a lake?
 
lake.Then??
 
Does the volume of water affect the water level??
 
We only need to see how much the volume of water increases. If the lead is in the boat, it displaces water equal to its weight (so it floats). If the lead is in the water, it displaces water equal to its volume (so it sinks). Since lead is denser than water, it displaces more water in the boat than it does when it's in the water. Hence the water level drops when you throw it off the boat. (It is interesting to not that when you are picking up the lead weight to throw it off the boat the water level rises, since there is more downwards force on the boat causing it to displace more water.)

The volume does not affect the water level, but the surface area of the lake/swimmingpool/ocean affects the water level change (change in water level = change in volume / surface area).
 
allright thanx
 
  • #10
fall because the total displaced water volume is less than before:smile:
 
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