help Student in an undergraduate physics lab is studying Archimedes\'s principle
ID: 2265123 • Letter: H
Question
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Student in an undergraduate physics lab is studying Archimedes's principle of bouyancy. The student is given a brass cylinder and using a triple beam balance finds the mass to be 2.23 kg. The density of this particular alloy of brass is 8.50 g/cm3. The student ties a massless string to one end of the cylinder and submerges it into a tank of water where there is an apparent reduction in the weight of the cylinder. With this information, calculate the volume of the cylinder and the tension in the string when it was submerged in the tank of water. The density of water is 1.00 g/cm3 and the acceleration due to gravity is g = 9.81 m/s2.Explanation / Answer
volume=mass/density=2230/8.5=262.35cm^3
bouyancy force=mass of water displaced=0.001*262.35*9.81=2.573N
weight of brass in water=2.23*9.81N - 2.573N=19.303N=Tension in string
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