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A balloon with mass 'm' is descending down with an acceleration 'a' (where a < g). How much mass should be removed from it so that it starts moving up with an acceleration 'a'?

1. 2ma/(g + a)
2. 2ma/(g - a)
3. ma/(g + a)
4. ma/(g - a)

Correct answer: 2ma/(g - a)

Solution

The net force on the balloon is determined by the difference between the buoyant force and the gravitational force. To reverse the direction of motion and achieve an upward acceleration of 'a', the mass to be removed is calculated as 2ma/(g - a).

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