Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

Question: The Earth has more rotational kinetic energy now than did the cloud of gas and dust from which it formed. Where did this energy come from?

The rotational kinetic energy increased due collapsing of the clouds under its own gravitational force.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Concept of rotational kinetic energy.

Rotational kinetic energy is caused due to rotation of an object. It is proportional to the rotational inertia and the square of the magnitude of the angular velocity.

Mathematically,

\(K.E{._{rot.}} = \frac{1}{2}I{\omega ^2}\)

Here;

I is the moment of inertia and

\(\omega\)is the angular velocity

Step 2: Explanation for greater rotational kinetic energy of Earth at present than earlier.

Earlier, the solar system was composed of massive cloud of gas and dust and it was slowly rotating. The cloud started to spin faster when they collapsed under its own gravitational pull, resulting in faster spinning of the clouds. This faster spinning is similar to an ice skater pulling his arms to spin faster. The planet rotated along with all the material that accreted to form the planet. This led to the increase in rotational kinetic energy at present.

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College Physics (Urone)

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Short Answer

Question: The Earth has more rotational kinetic energy now than did the cloud of gas and dust from which it formed. Where did this energy come from?

Step by Step Solution

Step 1: Concept of rotational kinetic energy.

Step 2: Explanation for greater rotational kinetic energy of Earth at present than earlier.

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College Physics (Urone)

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Short Answer

Question: The Earth has more rotational kinetic energy now than did the cloud of gas and dust from which it formed. Where did this energy come from?

Step by Step Solution

Step 1: Concept of rotational kinetic energy.

Step 2: Explanation for greater rotational kinetic energy of Earth at present than earlier.

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