Will a body with a volume of 2.5 dm 3 and a mass of 2.5 kg drown or float in water?
August 27, 2021 | education|
To determine the possibility of swimming in the water of a taken body, we will use the inequality: ρw> ρt and ρw> mt / Vt.
Variables: ρw is the density of the water in which the body is immersed (for fresh water ρw = 1000 kg / m3); mt is the mass of the body taken (m = 2.5 kg); Vt – body volume (Vt = 2.5 dm3 = 2.5 * 10-3 m3).
Calculation: ρw> mt / Vt.
1000> 2.5 / (2.5 * 10-3).
1000> 1000 (incorrect), ρw = ρt, therefore, the body taken will float inside fresh water; if the body is already immersed in salt water (ρw = 1030 kg / m3), then the body will float to the surface.
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