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A hot air balloon is a sphere of volume

2210 m3.
The density of the hot air
inside is 1.13
kg/m3, while the air outside
has a density of 1.29 kg/m3. The balloon
itself has a mass of 240 kg.
What is the TOTAL NET force
acting on the balloon?

User Flion
by
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1 Answer

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Answer: The total net force acting on the balloon is 3457.86 N.

Explanation: The total net force on the balloon can be calculated as the difference between the buoyant force and the weight of the balloon:

Buoyant force = Weight of displaced air = Volume of displaced air x Density of air x g

Weight of balloon = Mass of balloon x g

where g is the acceleration due to gravity.

Using the given values, we can calculate:

Buoyant force = 2210 m^3 x (1.29 kg/m^3 - 1.13 kg/m^3) x 9.81 m/s^2

= 5812.26 N

Weight of balloon = 240 kg x 9.81 m/s^2

= 2354.4 N

Total net force = Buoyant force - Weight of balloon

= 5812.26 N - 2354.4 N

= 3457.86 N

User Oarfish
by
7.7k points