Susie is out fishing on a calm, sunny day. She hooks an old tire that is resting on the lake bottom, and hauls it into her boat. In principle, how does the water level of the lake change?

doesn't the weight of the tire displace in the boat its full weight? In the water, the tire sunk, so it was not displacing is full weight.

Therefore, it seems to me that the boat with the tire will displace more liquid going down, which means the lake rises...in theory.

When Susie hooks the old tire and hauls it into her boat, the water level of the lake will not change in principle. This is because the displacement of water caused by the tire is already accounted for.

To understand this, we can refer to Archimedes' principle, which states that an object immersed in a fluid experiences a buoyant force equal to the weight of the fluid it displaces. In this case, when Susie pulls the tire out of the water, it creates a void in the space previously occupied by the tire. The water rushes back in to fill that void, thereby maintaining the equilibrium of the water level.

So, even though Susie has added an object to her boat, the water level of the lake remains essentially unchanged.