A person on the surface of the earth can make a long jump of 9 m. What distance could he jump on the moon?

A person on the surface of the earth can make a long jump of 9 m. What distance could he jump on the moon? the acceleration of gravity on the Moon is about 6 times less than on Earth.

To find the distance that the specified person can jump on the Moon, use the formula: Sх = V0 ^ 2 * sin2α / gх, whence we express: Sх * gх = V0 ^ 2 * sin2α. Therefore, the equality is true: Sz * gz = Sl * gl and Sl = Sz * gz / gl.
Value of variables: Sz – jump length on the Earth (Sz = 9 m); gz (acceleration of gravity on Earth) = 6gl (acceleration of gravity on the Moon).
Calculation: Sl = Sz * gz / gl = 9 * 6gl / gl = 54 m.
Answer: On the Moon, the specified person will be able to jump 54 m.



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