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College Physics (Urone)
Found in: Page 82

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Short Answer

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 cm/year. Assuming this to be a constant rate, how many years will pass before the radius of the Moon’s orbit increases by 3.84×106m (1%) ?

9.6×107 y

See the step by step solution

Step by Step Solution

Step 1: Given Data

  • Speed =4 cm/y=0.04 m/y
  • Total radius = 3.84×106m

Step 2: Time is taken to increase the 1% radius of the moon

Speed can be calculated as the distance that is traveled by an object in a time period.


It is a scalar quantity.

The time taken can be calculated as:


Substituting the values in the above expression, we get:

T=3.84×106 m0.04 m/y=96,000,000y

Hence,9.6×107 y is needed to increase the radius of the moon by 1%.

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