Level of Water (Pressure)

1. Feb 13, 2016

Ethan Godden

1. The problem statement, all variables and given/known data
A person in a boat floating in a small pond throws an anchor overboard. What happens to the level of the pond?

2. Relevant equations
Fg=B →ρobjectgVobjectfluidgVdisplaced

3. 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

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2. Feb 13, 2016

TSny

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?

3. Feb 13, 2016

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 doesnt change which implies the total volume displaced doesnt change which means the water level stays constant?

Ethan

4. Feb 13, 2016

TSny

Yes, I believe that's correct.