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Given :
mass = 120 kg
density = 600 kg / m³
density = mass / volume
==> Volume = mass / density
= 120 kg / 600 kg / m³
= 1 / 5 m³
= 0.2 m³
Let additional mass be added be m
So :
mass m = mass of the displaced water - mass of the body .
Volume of displaced water = 0.2 m³
mass = 0.2 m³ × 1000 kg/m³ [ volume × density ]
= 200 kg
Now mass of the body is 120 kg
So :
m = 200 kg - 120 kg
= 80 kg
The additional mass will be 80 kg
Hope it helps !
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