Question

i You've just stolen some solid gold bars which have a standard measure of 17.8 cm x 9.21 cm x 445 cm, and manage to make it to your getaway 'raft floating in the North Saskatchewan. Your raft is made of solid 0.50 cm thick aluminum, and has a base of 2.00 m by 3.00 m, and four sides of height 75.0 cm high. Your mass 70.0 kg. The density of aluminum is 2.70 x103 kg/m3, gold 19.32x103 kg/m3, and N.S. water 1.10x103 kg/m3 (4] How many gold bars can you put in the raft with you in it before the raft sinks? b) [3] o hagrin, it turns out the gold bars are actually gold-foil wrapped chocolate with a density of 1325 er you've put the number of bars you found in part a) in the raft and stepped inside, how far below the water's surface is the boat's bottom?

Answer 1

Gold bar = (17.8 times 9.21 times 4.45) cm raft: base (2 times 3) m height = 75 cm thickness = 0.5 cm density Al = 2.7 times 10^3 kg/m^3 Au = 19.32 times 10^3 kg/m^3 water = 10^3 kg/m^3, chocolate = 1325 kg/m^3 Your mass = 70 kg Total weight in boat = 9.8 [n (17.8 times 9.21 times 4.45/10^6) (19.32 times 10^3) + (2 times 3 times 0.5/100 times 2.7 times 10^3)] + {2 times 2.7 times 10^3/200 [0.75 times 2 + 0.75 times 3] times 9.8 } + (70 times 9.8) If there are gold bars = n Buoyant force = weight force rho Vg = mg rho = 10^3 kg/m^3 V = (0.75 times 2 times 3)m^3 14.094 n + 70 + 81 + 20250/200 = 4500 = > n = 301.4 bars These are the number of bars if we are in raft and it links but if we
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