Question

The acceleration due to gravity of the moon is 1.67m/s^2.What does it mean?

Answer 1

The acceleration due to gravity means the if an object is in free fall, then the body will be accelerated towards the ground because of the planet’s (moon in this case) gravitational force.
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Answer 2

Acceleration on moon is 1.67 m/s².

This means that when an object is dropped from a height on the moon, its velocity increases by 1.67 m/s every second.

Also, with respect to Earth's gravity (g = 9.8 m/s²), the gravity of moon is less than that of earth.

$\dfrac{ g_{moon}}{ g_{earth} } = \dfrac{1.67}{9.8}$

$\implies \dfrac{ g_{moon}}{ g_{earth} } \approx \dfrac{1}{6}$

$\implies g_{moon} \approx g_{earth} \times \dfrac{1}{6}$

So, gravitation on moon is ⅙th the gravity on earth.