8. 1 points KnightCP3 13.P052. My Notes You need to determine the density of a c

Question

8. 1 points KnightCP3 13.P052. My Notes You need to determine the density of a ceramic statue. If you suspend it from a spring scale, the scale reads 37.8 N. If you then lower the statue into a tub of water, so that it is completely submerged, the scale reads 12.2 N. What is the density? kg/m3 9. +-1 points KnightCP3 13.P029. My Notes Styrofoam has a density of 300 kg/m3. What is the maximum mass that can hang without sinking from a 46 cm diameter Styrofoam sphere in water? Assume the volume of the mass is negligible compared to that of the sphere kg

Explanation / Answer

8)Given,

Ws = 37.8 N ; Ww = 12.2 N

We know that

W = mg => m = W/g = 37.8/9.81 = 3.85 kg

Under water it will experience buoyant force and in Y direction forces will be:

mg - Fb = Ww

37.8 - Fb = 12.2

Fb = 37.8 - 12.2 = 25.6 N

rho x 9.81 x V = 25.6

V = 25.6/1000 x 9.81 = 2.61 x 10^-3 m^3

density = mass/V

density = 3.85/2.61 x 10^-3 = 1475.1 kg/m^3

Hence, density of statue = 1475.1 kg/m^3

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