A balloon of mass m is descending at a constant acceleration g/3
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While descending
R = M(g - a)
R = M(g - g/3)
R = 2Mg/3
While rising
R = (M - m)(g + a)
2Mg/3 = (M - m)(g + g/3)
2Mg/3 = (M - m)4g/3
M = (M-m)2
M/2 = M - m
m = M - M/2
m = M/2
Mass to be removed is M/2.
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