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A balloon of mass M descends with an acc...

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

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The correct Answer is:
`2 Ma//(g + a)`

Initially `Mg - Th = ma` and when mass `m` is removed `Th - (M - m) g = (M - m)a`. Solving these equation for `m` we get the desired result.
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