On the moon, the acceleration due to gravity is only 1.6m/s/s downward. If someone on earth can throw a baseball 24.2 m high, how high could she throw it on the moon?

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On the moon, the acceleration due to gravity is only 1.6m/s/s downward. If someone on earth can throw a baseball 24.2 m high, how high could she throw it on the moon?

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Answer 1 · 2017-10-29T16:39:34

148.5 m

Explanation:

On earth initial velocity of baseball is
$u = \sqrt{2 g h} = \sqrt{2 \times 9.8 m s^{- 2} \times 24.2 m} = 21.8 m s^{- 1}$ $u = sqrt(2gh) = sqrt(2 × 9.8 ms^-2 × 24.2 m) = 21.8 ms^-1$

If she throws the baseball with same velocity on moon,

The ball will the reach the height $= \frac{u^{2}}{2 a} = \frac{{(21.8 m s^{- 1})}^{2}}{2 \times 1.6 m s^{- 2}} = 148.5 m$ $= u^2/(2a) = (21.8 ms^-1)^2 / (2 × 1.6 ms^-2) = 148.5 m$

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On the moon, the acceleration due to gravity is only 1.6m/s/s downward. If someone on earth can throw a baseball 24.2 m high, how high could she throw it on the moon?

1 Answer

Explanation:

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