A balloon with mass m is descending down with an acceleration a where

1.	A balloon with mass m is descending down with an acceleration a where a
Answer» `(2MA)/(g+a)` `(2ma)/(g-a)` `(ma)/(g-a)` `(ma)/(g-a)` Solution :LetF bethe upthrustof theair.Asthe balloon isdescendingdownwithan accelerationa , ` thereforemg -F =ma .......(i)` Letmass ` m_0`beremovedfromthe balloonso THATIT startsmovingupwithan accelerationa. then ` F- (m-m_0) g= ( m-m_0)a` `f-mg + m_0 g = ma- m_0a `....(ii) addingeqn. (i )andeqn(ii)we get ` m_0g - 2ma- m_0,m_0 g + m_0 a= 2ma,m_0 ( g+a ) = 2ma ` ` m_0= (2ma )/(g+a)`

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