Determine how much farther a person can jump on the Moon ascompared to the Earth if the takeoff speed and angle are the same.The acceleration due to gravity on the Moon is one-sixth what it ison Earth.

Determine how much farther a person can jump on the Moon ascompared to the Earth if the takeoff speed and angle are the same.The acceleration due to gravity on the Moon is one-sixth what it ison Earth.

asked 2021-03-02
Determine how much farther a person can jump on the Moon ascompared to the Earth if the takeoff speed and angle are the same.The acceleration due to gravity on the Moon is one-sixth what it ison Earth.

Answers (1)

Horizontal range of a projectile \(\displaystyle{R}={V}^{{2}}{\frac{{{\sin{{2}}}\theta}}{{{g}}}}\)
From equation \(\displaystyle{R}\approx{\frac{{{1}}}{{{g}}}}\) and so
If \(\displaystyle{g}_{{{m}\infty{n}}}={\frac{{{1}}}{{{6}}}}{g}_{{{e}{a}{r}{t}{h}}}\)
If \(\displaystyle{R}_{{{m}\infty{n}}}=\) six time \(\displaystyle{R}_{{{e}{a}{r}{t}{h}}}\)

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