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To reach the same height on the moon as on the earth, a body must be projected up with

Question

To reach the same height on the moon as on the earth, a body must be projected up with

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Solution

A lower speed. This is because the moon's gravitational pull is only about 1/6th that of Earth's. Therefore, it takes less force (and thus less speed) to overcome the moon's gravity and reach the same height as you would on Earth.

Here are the steps to understand this:

  1. The force required to lift an object is directly proportional to the gravitational pull of the celestial body (in this case, Earth or Moon).

  2. Earth's gravitational pull is approximately 9.8 m/s², while the Moon's is approximately 1.6 m/s².

  3. Therefore, to lift an object to the same height on the Moon as on Earth, you would need approximately 1/6th the force.

  4. Since the force required is less, the speed at which the object needs to be projected upwards would also be less.

So, to reach the same height on the moon as on the earth, a body must be projected up with a lower speed.

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