The maximum height reached is inversely proportional to acceleration due to gravity. Since the Moon has one-sixth of Earth gravity, the ball travels six times higher, reaching a height of 48 m on the Moon.
The gravitational attraction on the surface of the Moon (lunar surface) is about 1/6th of that on the surface of the Earth. An astronaut can throw a ball up to a height of 8 m from the surface of the Earth. How far up will the ball thrown with the same upward velocity travel from the surface of the Moon?
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The maximum height attained by an object thrown vertically upward is given by initial velocity squared divided by twice the gravitational acceleration. With the same initial velocity, height is inversely proportional to gravity. Because lunar gravity is one-sixth of terrestrial gravity, the height reached on the Moon is six times the height on Earth, calculating to six times 8 m, which equals 48 m.
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