a. Calculate the buoyant force (in N) (upward) on a 2.00 L helium balloon. b. Given the mass of the rubber in the balloon is 1.30 g, what is the net vertical force (in N) (upward) on the balloon if it is let go? You can neglect the volume of the rubber.

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a. Calculate the buoyant force (in N) (upward) on a 2.00 L helium balloon.

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

 

Expert Solution
Step 1

a.

Given data:

Volume of helium balloon is, V=2.00 L =0.002 m3.

The buoyant force is calculated as,

Fb=ρa×g×V

Here, ρa is the density of air, its value is 1.225 kg/m3 and g is gravitational acceleration, its value is 9.8 m/s2.

Solving as,

Fb=ρa×g×VFb=1.225×9.8×0.002Fb=0.0240 N

Thus, required buoyant force is of 0.0240 N.

Step 2

b.

Given data:

Mass of rubber in balloon is, m=1.30 g=1.3×10-3 kg.

Net vertical force is given as,

Fv=Fb-WHe-Wr .......................(1)
Here, WHe is the weight of helium and its value is calculated as,

WHe=ρHe×V×g

Here, ρHe is density of Helium, its value is 0.1785 kg/m3.

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