igure P9.14 Calculate the numeric vale or the beney B ury sphg- creco 23 Seawate

Question

igure P9.14 Calculate the numeric vale or the beney B ury sphg- creco 23 Seawater has density 1 025 kg/m (cly Using the value of B and the weight wof the survivor. calculate the weight tw, of the Svrofoam. (e) What is the density of the Styrofoame () What the maximum buoyant force, corresponding to the raft being submerged up to its top surface? (g) What total mass of e P9. 15 survivors can the raft support? mer- s ½- 21. A hot-air balloon consists of a basket hanging beneath alarge envelope filled with hot air. A typical hot-air balloon has a total mass of 545 kg, including passengers in its basket, and holds 2.55 × 103 m3 of hot air in its envelope. If the ambi- the 7S ent air density is 1.25 kg/ms, determine the density of hot air inside the envelope when the balloon is neutrally buoy and ant. Neglect the volume of air displaced by the basket passengers. 2. GP A large balloon of mass 226 kg is filled with helium gas until its volume is 325 m3. Assume the density of ar f helium is Q.179 kg/m.(a) D

Explanation / Answer

21] The volume that needs to be displaced = V = 2550 m3

mass needed to be lifted from Buoyancy = 545 kg

so, M = (1.25 x 2550) - 545 = 2642.5 kg

so, the density of hot air will be: D = 2642.5/2550 = 1.036 kg/m3.

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