A balloon of mass `M` descends with an acceleration `a_(0)`. The mass that must be thrown out in order to give the balloon an equal upwards acceleration will be

Options

A. `(Ma_(0))/(g)`
B. `(2 Ma_(0))/(g)`
C. `(2 Ma_(0))/(g+a_(0))`
D. `(M(g+a_(0)))/(a_0)`

Answer

C

Explanation

`Mg-U=Ma_(0)` …(i)
`U=(M-m)g=(M-m)a_(0)` …(ii)
solving these two equations we get,
`m=(2Ma_(0))/(g+a_(0))` .