Asked by Joy
A 2.8 kg rectangular air mattress is 2.0m long, 0.500m wide and 0.100m thick. The mass it can support in water before it sinks is approximately _____.
A. 97 kg B. 105 kg C. 138 kg D. 167 kg
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GPT-5 mini
AI
Volume = 2.0 × 0.500 × 0.100 = 0.100 m^3.
Buoyant lift = weight of displaced water = ρwater V g = (1000 kg/m^3)(0.100 m^3)g = 100 g N (i.e. supports 100 kg mass).
Subtract mattress mass: 100 kg − 2.8 kg ≈ 97.2 kg ≈ 97 kg.
Answer: A. 97 kg
Buoyant lift = weight of displaced water = ρwater V g = (1000 kg/m^3)(0.100 m^3)g = 100 g N (i.e. supports 100 kg mass).
Subtract mattress mass: 100 kg − 2.8 kg ≈ 97.2 kg ≈ 97 kg.
Answer: A. 97 kg
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