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Assertion: Newton's first law can be der...

Assertion: Newton's first law can be derived from the second law.
Reason: Action and reaction act on the same body.

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

AI Generated Solution

The correct Answer is:
To analyze the given assertion and reason, we will break down the statements and provide a step-by-step explanation. ### Step-by-Step Solution: 1. **Understanding Newton's First Law**: - Newton's First Law states that an object at rest will remain at rest, and an object in motion will continue in motion with the same speed and in the same direction unless acted upon by a net external force. This law emphasizes the concept of inertia. 2. **Understanding Newton's Second Law**: - Newton's Second Law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, it is expressed as \( F = ma \). 3. **Derivation of First Law from Second Law**: - According to the second law, if the net force \( F = 0 \), then the acceleration \( a = 0 \). - If acceleration is zero, it implies that the velocity of the object is constant (i.e., \( \frac{dv}{dt} = 0 \)). - This means that the final velocity is equal to the initial velocity, which is consistent with the first law. Thus, we can conclude that the first law can indeed be derived from the second law. 4. **Evaluating the Assertion**: - The assertion states that "Newton's first law can be derived from the second law." Based on our analysis, this statement is true. 5. **Understanding the Reason**: - The reason provided states, "Action and reaction act on the same body." According to Newton's Third Law, for every action, there is an equal and opposite reaction, but these forces act on different bodies. - For example, if a block is resting on a table, the block exerts a downward force on the table (action), and the table exerts an upward normal force on the block (reaction). Hence, action and reaction do not act on the same body. 6. **Evaluating the Reason**: - Since the reason is incorrect (action and reaction act on different bodies), we conclude that this statement is false. ### Conclusion: - The assertion is true, but the reason is false. Therefore, the correct answer is that the assertion is true, and the reason is false.

To analyze the given assertion and reason, we will break down the statements and provide a step-by-step explanation. ### Step-by-Step Solution: 1. **Understanding Newton's First Law**: - Newton's First Law states that an object at rest will remain at rest, and an object in motion will continue in motion with the same speed and in the same direction unless acted upon by a net external force. This law emphasizes the concept of inertia. 2. **Understanding Newton's Second Law**: ...
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