Banking Physics Wave Mechanics Question Bank Mechanics

  • question_answer A balloon filled with \[C{{O}_{2}}\] released on earth would (neglect viscosity of air)

    A)  climb with an acceleration 9.8\[m/{{s}^{2}}\]

    B)  fall with an acceleration 9.8 \[m/{{s}^{2}}\]

    C)  fall with a constant acceleration 3.4\[m/{{s}^{2}}\]  

    D)  fall with acceleration and then would attain a constant velocity

    Correct Answer: C

    Solution :

     If B is up thrust of air on balloon, and a is downward acceleration, then             \[Mg-B=Ma\] \[\begin{align}   & \Rightarrow a=\frac{Mg-B}{M}=g-\frac{{{V}_{pair}}g}{{{V}_{Pco}}_{_{2}}} \\  & =\left( 1-\frac{{{V}_{pair}}}{{{V}_{Pc{{o}_{2}}}}} \right)g=\left( 1-\frac{28.8}{44} \right)\times 9.8m/{{s}^{2}} \\  & =3.4m/{{s}^{2}} \\ \end{align}\]

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