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Tidal friction is slowing the rotation of the Earth. As a result, the orbit of the Moon is increasing in radius at a rate of approximately 4.0 cm/yr. Assuming this to be a constant rate, how many years will pass before the radius of the Moon's orbit increases by 3.84x 10^7 m (10%)?

Respuesta :

Answer:

967500000 years

Explanation:

The Speed at which the radius of the orbit of the Moon is increasing is 4 cm/yr

Converting to m

1 m = 100 cm

[tex]1\ cm=\frac{1}{100}\ m[/tex]

[tex]4\ cm\y=\frac{4}{100}=0.04\ m/yr[/tex]

The distance by which the radius increases is 3.84×10⁷ m

Time = Distance / Speed

[tex]\text{Time}=\frac{3.87\times 10^7}{0.04}\\\Rightarrow \text{Time}=967500000\ yr[/tex]

967500000 years will pass before the radius of the orbit increases by 10%.

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