question_answer

A man can jump six times as high on the moon as that on the earth. Justify. Or Explain, why one can jump higher on the surface of the moon than that on the earth.       

Answer:

                The value of \['g'\] on the surface of moon is about \[\frac{1}{6}th\] of its value on the surface of earth. For the same gain of P.E. in both cases, we have \[m{{g}_{m}}{{h}_{m}}=m{{g}_{e}}{{h}_{e}}\] or            \[{{h}_{m}}=\frac{{{g}_{e}}{{h}_{e}}}{{{g}_{m}}}=\frac{{{g}_{e}}{{h}_{e}}}{{{g}_{e}}/6}=6{{h}_{e}}\]