For Those Good In Physics water Level Problem.

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Discussion Overview

The discussion revolves around a physics problem involving water displacement when a piece of lead is thrown from a boat into a body of water. Participants explore the implications of buoyancy and density on water levels in different scenarios, focusing on whether the water level will rise, fall, or remain the same.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant suggests that the water level would fall when the lead is thrown into the water because the lead is denser than water and would not displace as much water as it does when on the boat.
  • Another participant argues that if the lead is in the boat, it displaces water equal to its weight, while in the water, it displaces water equal to its volume, leading to a drop in water level when thrown off the boat.
  • A different viewpoint raises the question of the size of the body of water, implying that the context may influence the outcome.
  • One participant mentions that the surface area of the body of water affects the change in water level, noting that the volume of water displaced is key to understanding the situation.

Areas of Agreement / Disagreement

Participants express differing views on the outcome of the water level change, with some asserting it will fall and others providing reasoning that supports this conclusion. However, there is no consensus on the matter, as various factors and assumptions are considered.

Contextual Notes

The discussion includes assumptions about the density of lead compared to water and the implications of buoyancy. There are also references to the size of the body of water and its surface area, which may influence the perceived outcome.

Who May Find This Useful

This discussion may be of interest to students and enthusiasts of physics, particularly those exploring concepts of buoyancy, density, and water displacement.

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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