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Assertion: Pulling a lawn roller is easi...

Assertion: Pulling a lawn roller is easier than pushing it.
Reason:Pushing increases the apparent weight and hence the force of friction.

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 solve the question, we need to analyze the assertion and the reason given. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that pulling a lawn roller is easier than pushing it. This implies that the force required to move the roller is less when pulling compared to pushing. 2. **Analyzing the Forces When Pushing**: - When you push the lawn roller, you apply a force \( F \) at an angle \( \theta \) to the horizontal. - The vertical component of this force is \( F \sin \theta \), which acts downward, adding to the weight of the roller. - The normal force \( N_1 \) acting on the roller when pushing can be expressed as: \[ N_1 = mg + F \sin \theta \] - Here, \( mg \) is the weight of the roller. 3. **Analyzing the Forces When Pulling**: - When you pull the lawn roller, the force \( F \) is also applied at an angle \( \theta \) to the horizontal. - The vertical component of this force is still \( F \sin \theta \), but this time it acts upward, reducing the effective weight of the roller. - The normal force \( N_2 \) acting on the roller when pulling can be expressed as: \[ N_2 = mg - F \sin \theta \] 4. **Comparing the Normal Forces**: - From the equations derived, we see that: - While pushing: \( N_1 = mg + F \sin \theta \) (increases the normal force) - While pulling: \( N_2 = mg - F \sin \theta \) (decreases the normal force) - This means that the normal force is greater when pushing compared to pulling. 5. **Understanding Friction**: - The force of friction \( f \) is given by: \[ f = \mu N \] - Where \( \mu \) is the coefficient of friction. - Since \( N_1 > N_2 \), the frictional force when pushing is greater than when pulling. 6. **Conclusion**: - Therefore, pulling the lawn roller is indeed easier than pushing it because pushing increases the normal force and hence the frictional force, making it harder to move. ### Final Answer: - The assertion is true, and the reason provided is a correct explanation for the assertion. Thus, the correct option is A.

To solve the question, we need to analyze the assertion and the reason given. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that pulling a lawn roller is easier than pushing it. This implies that the force required to move the roller is less when pulling compared to pushing. 2. **Analyzing the Forces When Pushing**: ...
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