Question

the value of 'g' on the moon is about _____ of its value on Earth

1) equal
2) twice
3) six times
4) 1/6 th​

Answer 1

Answer:

(D) 1/6

Explanation:

The value of g of the moon is about 1/6 of its value of the Earth.

Mass of Earth = 81 × Mass of moon [Around]

⇒ Mass of moon = (1/81) × Mass of Earth

Radius of Earth = 3.67 × Radius of moon [Around]

⇒ Radius of moon = (1/3.67) × Radius of Earth = 0.27 × Radius of Earth

g = $\frac{GM}{R^{2}}$ = $\frac{G(M/81)}{(0.27R)^{2}}$

[∵ 1/3.67 = 0.27]

⇒ $\frac{GM}{R^{2}}$ × 0.166 [Approximately]

As 0.166666.. = 1/6

∴ value of g on moon is 1/6th value of g on Earth.

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