Question

the mass of a brick is 4 kg, find the mass of water displaced by it when completely immersed in water.​

Answer 1

Answer:

Mass of water displaced = 1.6 kg

Explanation:

given data

Mass of brick m = 4kg

Density of water d₁ = 1000kg/m³

Density of brick d₂ = 2.5 g/cm³ = 2500 kg/m³

solution

we get here first volume of brick  that is

volume of brick =  m ÷ d₂     ..................1

put here value and we get

volume of brick = 4 ÷ 2500

volume of brick = 0.0016 L

and

we will use here Archimedes' Principle formula of the buoyant force

as buoyant force = the weight of the liquid displaced by an object

so now we get here Buoyant Force that is express as

Buoyant Force = v × d₁ × g     ........................2

put here value

Buoyant Force = 0.0016 × 1000 × 9.8

Buoyant Force = 15.68 Newtons

so

Buoyant Force = Weight of the water displaced     .................3

Buoyant Force = Mass of water displaced × g

and

weight = mass × acceleration due to gravity     .......................4

so put here value and we will get

15.68 = mass of brick × 9.8

Mass of water displaced = 1.6 kg