Posted by **Mikey** on Wednesday, September 1, 2010 at 11:28pm.

a hot air balloon rise above the ground, accelerating upwards at a rate of 2 m/s^2. The total mass of the hot air balloon and it occupants is 400kg. the density of the air is 1.3 kg/m^3.

a) Determine the volume if the hot air balloon.

b) if this acceleration is maintained for 5 seconds, how high will the balloon rise?

- physics -
**drwls**, Wednesday, September 1, 2010 at 11:38pm
a) The probably want you to use

Force = Mass* aaceleration

to get the net force on the balloon, and then use

Net Force = Buoyancy - Weight

to get the buoyancy force. Once you have that, you can get the volume of the balloon using Archimedes Principle.

This approach neglects the atmospheric drag force, which might be appreciable, but perhaps not for the first 5 seconds.

b) Distance risen = (1/2) a t^2

(if a remains constant)

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