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Q.

Why is weight on the moon 1/6 of weight on Earth?

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Detailed Solution

Weight on the Moon is 1/6 of the weight on Earth because the Moon has much less gravity than Earth. This is mainly due to the Moon’s smaller mass and size.
 

 Weight vs Mass

  • Mass is the amount of matter in an object and remains constant everywhere.
  • Weight is the force of gravity acting on mass, and it depends on local gravity.

 Why Is Moon's Gravity Weaker?

  1. Moon’s mass is much smaller: Earth is about 81 times more massive than the Moon.
  2. Moon’s radius is smaller: Only about 1/4th of Earth's radius.
  3. Gravitational Force Formula:
F = (G × M × m) / r²
  • G: Gravitational constant
  • M: Mass of the Moon or Earth
  • m: Your mass
  • r: Radius from center

Due to lower mass and smaller radius, the Moon's surface gravity is just about 1/6th that of Earth.

Example:

If your weight on Earth is:

60 kg × 9.8 m/s² = 588 N

Then on the Moon:

60 kg × 1.63 m/s² = 97.8 N

This is roughly 1/6th of your Earth weight.

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Why is weight on the moon 1/6 of weight on Earth?