A balloon with its contents weighing 160N is moving down with an acceleration of g/2 m/s². The mass to be removed from it so that the balloon moves up with an acceleration of g/3 m/s² (g = 10 m/s²)

Initial Weight of balloon is 160 N (16kg)

first case balloon moves down with an acceleration g/2 ms⁻²

Let constant force acting upward on the balloon is F

160−F=16×g/2

⇒F=80N

Second case Let final mass of the balloon is m

balloon moves upward due to force F with acceleration 3gms⁻²

F−mg=mg/3⇒F=4mg/3

⇒80=(4xmx10)/3

⇒m=6kg

So, the mass removed from the balloon will be:

m′=16−6 kg

m′=10 kg

Correct option is B.