JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Acceleration Due to Gravity

  • question_answer
     A body has a weight 90 kg on the earth's surface, the mass of the moon is 1/9 that of the earth's mass and its radius is 1/2 that of the earth's radius. On the moon the weight of the body is          [Pb. PET 2003]

    A) 45 kg   

    B)             202.5 kg

    C)             90 kg   

    D)             40 kg

    Correct Answer: D

    Solution :

         \[\frac{{{g}_{m}}}{{{g}_{e}}}=\frac{{{M}_{m}}}{{{M}_{e}}}\times {{\left( \frac{{{R}_{e}}}{{{R}_{m}}} \right)}^{2}}=\left( \frac{1}{9} \right)\ {{\left( \frac{2}{1} \right)}^{2}}=\frac{4}{9}\]Þ \[{{g}_{m}}=\frac{4}{9}{{g}_{e}}\] \ \[{{W}_{\text{m}}}=\frac{4}{9}\times {{W}_{e}}=\frac{4}{9}\times 90=40\ kg\]


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