Please answer the two questions below 1. Bird bones have air pockets in them to
ID: 1501104 • Letter: P
Question
Please answer the two questions below
1. Bird bones have air pockets in them to reduce their weight–this also gives them an average density significantly less than that of the bones of other animals. Suppose an ornithologist weighs a bird bone in air and in water and finds its mass is 44.0 g and its apparent mass when submerged is 3.60 g (the bone is watertight). What mass of water is displaced in kg? What is the volume of the bone in m3? What is its average density in kg.m3?
2. A student in an undergraduate physics lab is studying Archimede's principle of bouyancy. The student is given a brass cylinder and using a triple beam balance finds the mass to be 3.21 kg. The density of this particular alloy of brass is 8.20 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. Please answer the V in cm3 and the T in N.
Explanation / Answer
part 1 )
Fb = W - Wapp
Fb = 44 - 3.60 = 40.4 g = 40.4 x 10^-3 kg
m = mass of water displaced = 40.4 x 10^-3 kg
density of water = 1000 kg/m^3 =
volume displaced = 4.04 x 10^-5 m^3
density = mass/volume = 44*10^-3/volume = 1089.1089 kg/m^3
part 2 )
volume of cylinder = mass/density = 3.20 x 10^3/8.20 = 390.24 g/cm^3
T = buyont force = volume displaced * g * rho_water
T = 3.836 N