Question

a balloon of mass M is descending at a constant acceleration g/3. When a mass m is released from the balloon it starts rising with the same acceleration g/3. (assuming that its volume does not change), what is the value of m?

Answer 1

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.

Answer 2

I hope that it will help you