A research balloon of total mass m descends vertically with a downward accelerat

Question

A research balloon of total mass m descends vertically with a downward acceleration a. The pilot then lightens the balloon by throwing some sand of mass Dm overboard. As a result, the balloon then accelerates upwards with the same magnitude of acceleration as it previously had downwards. Neglecting air resistance, and assuming that the buoyant force on the balloon is unchanged, determine a symbolic expression for Dm. Enter your answer as a function of m, a, and g, plus physical constants such as 1.0, 0.5, or p. As with all symbolic asnwers, do not ever include units or unit conversion factors. For example, you might enter:

Explanation / Answer

Dm = 2m*a/(a+g) where g = 9.8 m/s^2

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