(a) Calculate the buoyant force on a 2.60 L helium balloon. N (upward) (b) Given

Question

(a) Calculate the buoyant force on a 2.60 L helium balloon. N (upward) (b) Given the mass of the rubber in the balloon is 1.30 g, what is the net vertical force on the balloon if it is let go? You can neglect the volume of the rubber.N upward

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Explanation / Answer

Let’s convert the volume to m3.

1 liter = 1000 cc,

1 m3 = 1 * 106 cc,

1 liter = 0.001 m3
Volume = 0.0026 m3
Part a)
Buoyant force = Density of air * g * Volume of displaced air
At STP, the density of air is approximately 1.29 kg/m3
Buoyant force = 1.29 * 9.8 * 0.0026

Buoyant force = 0.0328 N

Part (b)
Net vertical force = Buoyant force – Weight
Weight of rubber = 0.0013 * 9.8 = 0.01274 N
Net vertical force = 0.0328 – 0.01274

Net vertical force = 0.02006 N

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