Can't live pain free... To social media!
I'm reading a thread where someone asks: "If you add 500 thousand pounds of crabs to a crab boat; is it 500 thousand pounds heavier?"
There's some genuinely funny responses, but it's the people trying to be serious that are hurting my brain.
People don't have any understanding of weight, mass, displacement, ballast, stability...
People who are answering authoritatively, but are not accounting for things you'd know if you'd watched a couple of episodes of The Deadliest Catch.
But since I have to figure it out, because I'm me...
The average density of crabs is 1.27. So crabs are 1.27kg/l.
500,000 lb. of crab is 226,796.2kg of crab.
226,796.2kg of crab is 178,579.7l of crab.
178,579.7 l of water is displaced by the crabs and that weighs 393,700.85 lb.
So the boat is 106,299.15 lb. heavier.
Update:
178,579.7 l of seawater, being denser and thus heavier than regular water weighs 403.543.44 lb.
So our boat gets 96,456.56 lb. heavier when we toss all that crab into the holding tanks and the boat settles a little deeper in the water.
Commenters: One of the givens is "crab boat" confine your rebuttals and criticisms to that.
Clearly it's an obscure fact that the holding tanks are full of seawater on a crab boat and that as crab is added, it displaces water overboard. That's why adding 500,000 lb. of crab to a crab boat doesn't add 500,000 lb. of weight to the total assembly.
Crab boats do not sink when they stuff those holding tanks with crabs which are heavier than the water they used to carry. No more than a canoe sinks when you put the cooler in the middle and it displaces the much less dense air that previously occupied the space inside.
Crab boats do not operate anywhere but Earth, so quibbling about 1g is just being... put in what will insult you the most here.