
BRUCE S. answered 01/29/13
Learn & Master Physics & Math with Bruce S
Prasenjeet,
The key is in your first statement: no external force! Newton's 2nd law is F=mA so if F=0 then A=0 (the balloon and gas inside have mass not equal to 0). So the balloon is definitely not accelerating.
Is the balloon moving? Two possibilities exist: If the balloon was initially moving and there are no external forces on the balloon then the balloon is still moving with a constant velocity. If the balloon was initally at rest and there are no external forces then the balloon is still at rest.
What can be said of the balloon is that it is in equilibrium.
What goes on inside the balloon is immaterial because the internal gas is randomly hitting the balloon walls in every direction and with no unbalanced force on the balloon structure.
There are two ways to make the balloon move. If an external force acts on the balloon it will accelerated and the balloon velocity will change. The other way is to allow gas to escape from the balloon. The escaping gas creates a force on the balloon and accelerates it much like a rocket is propelled.
BruceS


BRUCE S.
Hi Lori,
Thanks for the very positive comment about the balloon in space. We could have mentioned Brownian motion of the balloon's center of mass but I think that would have been over the top.
Best regards,
BruceS
01/30/13
Lori S.
Bruce,
You did a great job in expressing all that is taking place in this scenario. My assumption was that the gas would be released; therefore, creating a force on the balloon.
Wishing you well, Prasenjeet!
01/29/13