2001 1. What is the density of an object whose dry weight is 13 N and whose weig
ID: 1612892 • Letter: 2
Question
2001 1. What is the density of an object whose dry weight is 13 N and whose weight submerged in water is 9.5 N? 2. A sealed chamber, totally submerged, is anchored to the ocean floor. If the chamber has a mass of2.5 x 10 kg and a volume of2.8 x 10 m a What is the buoyant force on the chamber? b) What is the tension in the anchor chain holding the chamber under water? c If the anchor chain were cut, what would be the acceleration of the chamber as it rises to the surface? 3. If an object with a specific gravity of 2.68 has a volume of 1.3 m, what is the weight of the object and the buoyant force acting on the object if it is completely submerged?Explanation / Answer
1. 9.5 = 13 - Fb
Fb = buoyant force = 3.5 N
V x rho_water x g = 3.5 ....(i)
V x rho_material x g = 13 ....(ii)
(ii) /(i) => 13 / 3.5 = rho_material / 1000
rho_material = 3714.3 kg/m^3
2. (A) Fb = 2.8 x 10^4 x 1000 x 9.8 = 2.744 x 10^8 N
(B) T = Fb - mg
= - (2.5 x 10^7 x 9.8) + (2.744 x 10^8)
= 2.94 x 10^7 N
(C) a = T/m = (2.94 x 10^7) / (2.5 x 10^7)
= 1.18 m/s^2
3. Weight = 1.3x 2.68 x 1000 x 9.8 = 34143.2 N
buoyant force = 1.3 x 1000 x 9.8 = 12740 N
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