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Assertion: Magnitude of the contact forc...

Assertion: Magnitude of the contact force is always greater than the magnitude of frictional force.
Reason: Contact force is the resultant of the friction force and normal reaction.

A

If both assertion `&` Reason are True `&` the Reason is a corrrect explanation of the Asserion.

B

If both Assertion `&` Reason are True but Reason is not correct explanation of the Assertion.

C

If Assertion is Trie but the Reason is False.

D

If both Assertion `&` Reason are false

Text Solution

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The correct Answer is:
To analyze the given assertion and reason, we can break down the concepts involved step by step. ### Step 1: Understanding the Assertion The assertion states that the magnitude of the contact force is always greater than the magnitude of the frictional force. ### Step 2: Understanding the Reason The reason provided states that the contact force is the resultant of the frictional force and the normal reaction force. ### Step 3: Defining Contact Force Contact force (F_c) is the total force exerted by two objects in contact. It can be represented as: \[ F_c = \sqrt{F_{friction}^2 + F_{normal}^2} \] where: - \( F_{friction} \) is the frictional force, - \( F_{normal} \) is the normal reaction force. ### Step 4: Analyzing the Relationship From the equation \( F_c = \sqrt{F_{friction}^2 + F_{normal}^2} \), we can see that: - The contact force is a resultant vector that combines both the frictional force and the normal force. - Since both \( F_{friction} \) and \( F_{normal} \) are positive quantities (in most practical scenarios), it follows that: \[ F_c > F_{friction} \] This confirms that the magnitude of the contact force is indeed greater than the magnitude of the frictional force. ### Step 5: Conclusion Both the assertion and the reason are true, and the reason correctly explains the assertion. Therefore, we conclude that the assertion is true and the reason is a correct explanation of the assertion. ### Final Answer - Assertion: True - Reason: True - Explanation: The contact force is the resultant of the frictional force and the normal reaction force, which confirms that the contact force is always greater than the frictional force.

To analyze the given assertion and reason, we can break down the concepts involved step by step. ### Step 1: Understanding the Assertion The assertion states that the magnitude of the contact force is always greater than the magnitude of the frictional force. ### Step 2: Understanding the Reason The reason provided states that the contact force is the resultant of the frictional force and the normal reaction force. ...
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