An ore sample weighs 17.50 N in air. When the sample is suspended by a light cord and totally immersed in water, the tension in the cord is 11.20 N. Find the total volume and the density of the sample.

Solution 27E Step 1: Weight of the sample in air, W = 17airN Weight of the sample in water, W water 11.20 N Change in weight of the sample while immersing it in the water from the air, W = W - air W water W = 17.50 N - 11.20 N = 6.30 N So, we can write, mg = 6.30 N Where m - mass of the sample and g - acceleration due to gravity 2 Therefore, mass of the sample, m = 6.30 N / 9.8 m/s = 0.643 kg