A balloon of mass `M` is descending at a constant acceleration `alpha`. When a mass m is released from the balloon it starts rising with the same acceleration `alpha` Assuming that its volume does not change what is the value of m. ?

Options

A. `(alpha)/(alpha_g)M`
B. `(2alpha)/(alpha+g)M`
C. `(alpha+g)/(alpha)M`
D. `(alpha+g)/(2alpha)M`

Answer

B

Explanation

`Mg-F=M alpha`
`F-(M-m)g=(M-m)alpha`
`mg=(2M-m)alpha`
`m(g+alpha)=2M alpha`
`m=(2Malpha)/((g+alpha))`