Does Throwing an Anchor Overboard Change the Pond's Water Level?

  • Thread starter Thread starter Ethan Godden
  • Start date Start date
  • Tags Tags
    Pressure Water
Click For Summary

Homework Help Overview

The problem involves a scenario where a person in a boat throws an anchor overboard into a pond, raising the question of how this action affects the water level in the pond. The subject area pertains to fluid mechanics and buoyancy principles.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to prove that the volume displaced by the anchor remains the same before and after it is thrown overboard. Participants question the implications of forces acting on the anchor and the overall system, particularly regarding buoyant forces and equilibrium.

Discussion Status

The discussion is ongoing, with participants exploring the relationship between gravitational forces and buoyant forces in the context of the problem. Some guidance has been offered regarding the implications of equilibrium on buoyancy and water displacement, but no consensus has been reached.

Contextual Notes

Participants are considering assumptions about the anchor's position relative to the boat and the water, as well as the negligible changes in gravitational force during the transition from the anchor being in the boat to it being submerged.

Ethan Godden
Messages
33
Reaction score
0

Homework Statement


A person in a boat floating in a small pond throws an anchor overboard. What happens to the level of the pond?

Homework Equations


Fg=B →ρobjectgVobjectfluidgVdisplaced

The Attempt at a Solution


The answer is the water level remains the same. My attempted solution is attached. I want to know how to prove the volume displace before and after are the same.

Thank you,

Ethan
 

Attachments

  • Notebook (3) 1.png
    Notebook (3) 1.png
    15.4 KB · Views: 493
Physics news on Phys.org
For a boat in a pond, the anchor might rest on the "seafloor". But, I guess in this problem you are to assume that the anchor is dangling in the water.

Does the total force of gravity acting on the system change when going from anchor in boat to anchor in water? What can you conclude about the total buoyant force acting on the system before and after?

In your solution, you said that T is greater than Fg, anchor? Is that so?
 
  • Like
Likes   Reactions: Ethan Godden
Opps, I meant T is less that Fg anchor as T is equal to the force of gravity on the anchor minus the buyoant force on the anchor.

The force of gravity does not change (well by a very negligible amount ).Are you implying that since the system the force of gravity before equals the force of gravity after and the system is in equalibrium, this implies the total buyoant force doesn't change which implies the total volume displaced doesn't change which means the water level stays constant?

Thank you for your help,

Ethan
 
Ethan Godden said:
The force of gravity does not change (well by a very negligible amount ).
:smile:

Are you implying that since the system the force of gravity before equals the force of gravity after and the system is in equalibrium, this implies the total buyoant force doesn't change which implies the total volume displaced doesn't change which means the water level stays constant?
Ethan

Yes, I believe that's correct.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
Replies
20
Views
2K
Replies
7
Views
11K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 1 ·
Replies
1
Views
9K