There is a nursery rhyme about three men in a tub, who turn out to be a butcher, a baker, and a candlestick-maker, and they sail out to sea in a tub. This problem is loosely based on that situation.

Betsy the baker decides to use a bathtub as a boat, at the lake. You can assume that the density of the water is 1000 kg/m³, and that the bathtub has a volume of 400 liters. We'll also treat the bathtub as a rectangular box with just one side open, much like a bathtub. For this problem, there is never any water inside the tub - instead, the tub floats in the lake.

Part A: The bathtub has a mass of 200 kg. When Betsy places the bathtub in the water, the tub floats. What percentage submerged is the tub? (Nobody is in the tub yet.)
_______ %

Part B:Betsy, who has a mass of 48.0 kg, then gets into the tub (while the tub is floating in the water). What percent submerged is the bathtub now?
_______ %

Part C:How many people total (including Betsy) could be in the tub without the tub sinking? Your answer should be an integer. Assume each person has the same mass as Betsy.
_______ people

Answer rating: 100% (QA)

Answer Part A To determine the percentage submerged of the tub when it is empty we can use the concept of buoyancy The buoyant force acting on the tub ... View the full answer