# 3 kg of lead shot was poured into a bucket filled to the top with water.

December 31, 2020 | education

| **3 kg of lead shot was poured into a bucket filled to the top with water. how much has the weight of the bucket and its contents changed?**

Decision:

Vd = Md / Pd = 3kg / 11340kg / m3 = 0.2646 * 10 ^ -3 – volume of shot

Pd = 11340kg / m3 – lead density

Vw = Vd = 0.2646 * 10 ^ -3 m3 – volume of displaced water according to Archimedes’ law

Mw = Vw * Pw = (0.2646 * 10 ^ -3) * 999.23 = 0.264 kg – mass of displaced water

Pw = 999.23kg / m3 – water density

Gd = Md * g = 3 * 9.81 = 29.43 N – the weight of the fraction poured into the bucket

Gw = Mw * g = 0.264 * 9.81 = 2.59 N – weight of water displaced from the bucket

Gd-Gw = 29.43-2.59 = 26.84 N

Answer: the bucket weight will increase by 26.84 N after filling the shot

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