9th Class Science Gravitation and Floatation Question Bank Gravitation and Pressure

  • question_answer
    To reach the same height on the moon as on the earth, a body must be projected up with

    A)  higher velocity on the moon.

    B)  lower velocity on the moon.  

    C)  same velocity on the moon as that of the earth.

    D)  It depends on the mass of the body.

    Correct Answer: B

    Solution :

     Given \[{{h}_{\max }}=\frac{{{u}_{m}}^{2}}{2g}\]is same on the earth and as moon,\[\frac{{{u}_{m}}^{2}}{2{{g}_{m}}}=\frac{{{u}_{e}}^{2}}{2{{g}_{e}}}\]but\[{{g}_{earth}}=6\,\,{{g}_{m}}\] \[\therefore \]       \[\frac{{{u}_{m}}^{2}}{2{{g}_{m}}}=\frac{{{u}_{e}}^{2}}{2(6{{g}_{m}})},\,\,{{u}_{e}}=\sqrt{6}{{u}_{m}}\Rightarrow {{u}_{e}}>{{u}_{m}}\]


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