A Not Secure htps://www.webassign.net/web/Student/Assignment-Responses/submit?de

Question

A Not Secure htps://www.webassign.net/web/Student/Assignment-Responses/submit?dep 18478750 Bleck material Block density 10 g/cm -2.0 -18 1L0 -0.6 -0.4 Approximate density of H:O 1.0 g/cm reset Display in a New wWindow Explore A cube of metal and a cube of wood, each having a volume of V- 1.80 x 104 m3, are each placed in a large beaker of water. The density of the wood is Pwood 0.9 g/cm and the density of the metal is pmetal 1.3 g/cm2. Calculate the buoyant force on each. Conceptualize The block of wood and the block of metal each experience a buoyant force equal to the weight of the amount of water they displace when placed in the beaker. The wood is less dense than water with paer 1.00 x 10 kg/m3, so a displaces sess than its own volume of water in order to have a buoyant force equal to its weight to keep it afloat. But even when the metal displaces a volume of water equal to its own volume V, the weight of the displaced water is stal less than the weight of the block. Therefore the buoyant force is less than the weight of the metal block, so that it sinks. MacBook Air 3 5 6

Explanation / Answer

given rhow = 0.9 g/cm^3 = 900 kg/m^3
rhom = 1.3 g/cm^3 = 1300 kg/m^3
rho = 1 g/cm^3 = 1000 kg/m^3
volume of both the blaocks is same = V
V = 1.8*10^-4 m^3

hence buoyant force on metal Bmetal = V*rho*g = 1000*1.8*10^-4*9.81 = 1.7658 N
weight of wooden block = rhow*V*g = 1.58922 N
hence
buoyant force on woodk, Bwood = weight of wooden blaock = 1.58922 N

hence buoyant force on metal block is more than buoyant force on the wooden block, as the wooden bloakc displaces less than its own volume of water as it is not completely submerged due to lower density than water

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.