(October 19, 2017 at 7:13 am)notimportant1234 Wrote: So if I sink in to the baht tub , the water level goes down.
When the cannon ball is in the boat, it’s mass contributes to the weight and overall density of the boat. So long as the overall density of the boat is less than that of water, the boat overall will displace an amount of water equal in weight of the boat and the cannon ball.
When you pitch the cannon ball over the side, the mass of the cannon ball no longer co tribute to the weight and overall density of the boat. The boat floats higher and displaces less water by an amount equal in weight to the weight of the cannon ball. But the cannon ball, being denser than water, only displaces as much water as its own volume, which is much less than the the amount of water that would equal the weight of the cannon ball.
Hence the total mount of water displaced by the floating boat and sinking cannon ball separately is less than the water displaced by the two if the cannon ball remained in the bot.
