Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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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 $3.84 \times 10^{6} m (1 %)$ ?

$9.6 \times 10^{7} y$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given Data

Speed $= 4 cm/y = 0.04 m/y$
Total radius = $3.84 \times 10^{6} m$

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.

$Speed = \frac{Distance}{Time}$

It is a scalar quantity.

The time taken can be calculated as:

$Time = \frac{Distance}{Speed}$

Substituting the values in the above expression, we get:

$\begin{matrix} T = \frac{3 .84 \times 10^{6} m}{0 .04 m/y} \\ = 96, 000, 000 y \end{matrix}$

Hence, $9.6 \times 10^{7} y$ is needed to increase the radius of the moon by $1 %$ .

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College Physics (Urone)

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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 $3.84 \times 10^{6} m (1 %)$ ?

Step by Step Solution

Step 1: Given Data

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

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College Physics (Urone)

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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 3.84×106 m (1%) ?

Step by Step Solution

Step 1: Given Data

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

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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 $4 cm/year$ . Assuming this to be a constant rate, how many years will pass before the radius of the Moon’s orbit increases by $3.84 \times 10^{6} m (1 %)$ ?