Question

Can I please get help on how to solve problem #10 step-by-step?

ring scale, 10. A boat of mass mboat carrying a load of iron ore of mass miron and density Piron is floating on a pool of water. a) Write an expression for the volume Viron of the iron ore using Miron and Piron b) Using the combined weight of the boat and ore and Archimedes' principle, find an expression for the volume of the boat submerged (Vola) in terms of boat, Miron and density of water water c) The iron ore is now tossed into the pool. Find the volume of the boat submerged (Vrub) now in terms of moat and water d) The iron ore sinks completely in the water and displaces a volume of water that is equal to its volume (Viron). What is the combined volume of water (new) displaced by the boat and iron now in terms of mboat, Miron, Piron and Pwater? e) By subtracting Vola from Vnew (in parts b and d), determine the change in the volume of water displaced in the pool after the iron has been tossed. Does the water level rise or fall? (compare with lecture 19-20 slide19)

Answer 1

10 Mass ob boat= mpoat Mass ob Ton ose miron density iron ore = Piren Pivon miron Viron Viron miron Ans Piron Total waight ob boat and iron ore weight ot displacad water mboat+mixon)=(Submerged volume os boat) xPwak X umergad volume os boat(Vold) -mboat+mivon) Pwater 9 Is iron ore is tossad into he pool Submerged volume os boat mboat Vsub) Pwater Viron Vsub Vnew mboat Pusater miron Pron