Question

A tin can has a volume of 1000cm^3 and a mass of 100g . What mass of lead shot can it carry without sinking in water.

Answer 1

900 grams of lead can be added max to the tin so that it does not sink.

Explanation:

According to the Archimedes principle, an object will not sink in a medium until the density of the object exceeds the density of the medium.

The medium we have is water.

The density of medium(water) is given as ρ° = 1 g/cm³

Density of an object is simply its mass contained per unit volume.

Density = mass/volume

Volume of the tin = v = 1000 cm³

Mass of the tin = m = 100 g

Mass of lead that can be added without sinking = x

Total mass after adding lead in the tin = Mt = m + x

Total density after lead is added to the tin is given as:

ρt = (m+x)/v

Now, according to Archimedes principle, lead can be added to the tin until the density of tin is equal to the density of water.

ρt = ρ°

Mt/v = ρ°

(m + x)/v = ρ°

⇒ (100 + x)/1000 = 1

⇒ 100 + x = 1000

⇒ x = 1000 - 100

x = 900 g

Keyword: Archimedes principle

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