What is the volume of an inflatable raft if the mass of the raft with people is 300 kg

What is the volume of an inflatable raft if the mass of the raft with people is 300 kg, and the raft floats, completely immersed in the water?

Since the system will be in equilibrium, therefore: Fa = Fт.
Fa is the strength of Archimedes; Fa = ρ * g * V, where ρ is the density of water (ρ = 1000 kg / m ^ 3), g is the acceleration of gravity (we take g = 10 m / s ^ 2), V is the volume of the submerged part of the raft (m ^ 3).
Fт is the force of gravity; Fт = m * g, where m is the mass of the raft with people (m = 300 kg).
m * g = ρ * g * V.
Let’s express and calculate the volume of the raft:
V = m * g / (ρ * g) = m / ρ = 300/1000 = 0.3 m ^ 3.
Answer: The volume of the inflatable raft is 0.3 m ^ 3.



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