What is the buoyant force on a 1.3 m³ helium balloon in air at standard conditions? The density of air is 1.3 kg/m³. A)1.3 N B)1.69 N C)16.6 N D)232 N E)1690 N

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Quizplus · Accepted Answer

The buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. The volume of the helium balloon is $1.3 \, \text{m}^3$, and the density of air is $1.3 \, \text{kg/m}^3$. The mass of air displaced by the balloon is $1.3 \, \text{m}^3 \times 1.3 \, \text{kg/m}^3 = 1.69 \, \text{kg}$. The weight of this air (and thus the buoyant force) is $1.69 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 16.6 \, \text{N}$.

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