A balloon with mass 
is descending down with an acceleration 
(where, 
). How much mass should be removed from it, so that it starts moving up with an acceleration 
?
Text Solution
Verified by ExpertsA
When the balloon is descending down with acceleration 
,
…(i)
where, 
buoyant force.
Here, we should assume that while removing some mass, the volume of balloon and hence, buoyant force will not change.
Let the new mass of the balloon, i.e. 
.
So, 
mass removed 
When the balloon is moving up with acceleration 
, then
…(ii)
Adding Eqs. (i) and (ii), we get
So, mass removed,
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