A ballon with mass M is decending with an acceleration a (lt g) What mass m of its contents must be removed so that is starts moving up with an acceleration a ?

A ballon with mass M is decending with an acceleration a (lt g) What m

1.	A ballon with mass M is decending with an acceleration a (lt g) What mass m of its contents must be removed so that is starts moving up with an acceleration a ?
Answer» Solution :Let the retarding force acting on the ballon in vertically upwards direction be `F` When the ballon is descending down with acceleration its equation of MOTION can be WRITTEN as `Ma = M G - F or F= mg - Ma` Let a mass m be removed from the balloon As it moves up with an acceleration a as shown in its equation of motion can be written as `(M - m) a =F - (M - m) g` using (i) `Ma - ma = Mg - Ma - M g + mg` `2 M a = m (g + a)` `m = ( 2Ma)/(g + a )` .