A body weighing 60 N, when immersed in water, displaces water with a volume of 4 liters. Has this body drowned?
July 29, 2021 | education|
Data: Pair (body weight in air) = 60 N = Ft (gravity); V (volume of water displaced by the taken body) = 4 l = 4 * 10-3 m3.
Constants: ρw (water density) = 1000 kg / m3; g (acceleration due to gravity) ≈ 10 m / s2.
1) Find the effective force of Archimedes (the weight of the liquid displaced by the taken body): Fa = ρw * g * V = 1000 * 10 * 4 * 10-3 = 40 N.
2) From the condition of floating bodies, the case will be true: Ft> Fa, therefore, the body taken will sink.
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