You need to determine the density of a ceramic statue If you

You need to determine the density of a ceramic statue. If you suspend it from a spring scale, the scale reads 26.4 N . If you then lower the statue into a tub of water, so that it is completely submerged, the scale reads 17.0 N .

Q: What is the density?

Thanks :)

Solution

When the statute is fully submerged in water, it will displace water equal to its volume and the upward thrust is equal to the weight of the water displaced. This upward thrust is equal to the apparent loss in weight.

Loss of weight = 26.4 – 17.0 = 9.4 N

Mass of water displaced m = 9.4/9.8 = 0.959 kg

Density of water = 1000kg/m³ approx.

Volume of water displaced = 0.959/1000 = 9.59e-4 m³

Mass of the statue = 26.4 /9.8 kg = 2.69 kg

Density = 2.69/ 9.59e-4 = 2.80 e3 kg/m³