PhysicsA balloon with its contents weighing 160 N is moving down with an acceleration of g/2 ms-2. The mass to be removed from it so that the balloon moves up with an acceleration of g/3 ms-2 is

A balloon with its contents weighing 160 N is moving down with an acceleration of g/2 ms-2. The mass to be removed from it so that the balloon moves up with an acceleration of g/3 ms-2 is

  1. A

    5kg

  2. B

    10 kg

  3. C

    6 kg

  4. D

    3 kg

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    Solution:

    Let constant force acting upward  on the balloon is F

    160-F=16×g2F=80N

    Let the mass of balloon after removing some be m.

    balloon moves upward due to force F with acceleration g3 ms-2

    F-mg=mg3

    F=4mg3m=6kg

    So, the mass removed from the balloon will be 16-6=10kg

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