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A book is lying on the table. What is th...

A book is lying on the table. What is the angle between the action of the book on the table and the weight of the book?

A

`0^(@)`

B

`45^(@)`

C

`90^(@)`

D

`180^(@)`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the forces acting on the book and the angle between the action of the book on the table and the weight of the book. ### Step-by-Step Solution: 1. **Identify the Forces Acting on the Book:** - The book experiences two main forces: - The weight of the book (W), which acts downward due to gravity. This force can be expressed as \( W = mg \), where \( m \) is the mass of the book and \( g \) is the acceleration due to gravity. - The normal force (N) exerted by the table on the book, which acts upward. 2. **Understand the Action of the Book on the Table:** - According to Newton's third law of motion, for every action, there is an equal and opposite reaction. - The book exerts a downward force on the table equal to its weight (W). This is the action of the book on the table. 3. **Determine the Direction of the Forces:** - The weight of the book (W) acts downward. - The normal force (N) that the table exerts on the book acts upward. - The action of the book on the table (which is equal to its weight) also acts downward. 4. **Analyze the Angle Between the Forces:** - Since both the weight of the book and the action of the book on the table (which is equal to the weight) are acting in the same downward direction, they are collinear. - The angle \( \theta \) between two collinear vectors is 0 degrees. 5. **Conclusion:** - Therefore, the angle between the action of the book on the table and the weight of the book is **0 degrees**. ### Final Answer: The angle between the action of the book on the table and the weight of the book is **0 degrees**. ---
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