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Assertion : When a sphere is rolls on a ...

Assertion : When a sphere is rolls on a horizontal table it slows down and eventually stops.
Reason : When the sphere rolls on the table, both the sphere and the surface deform near the contact. As a result, the normal force does not pass through the centre and provide an angular declaration.

A

Assertion is correct, reason is correct, reason is a correct explanation for assertion.

B

Assertion is correct, reason is correct, reason is not a correct explanation for assertion

C

Assertion is correct, reason is incorrect

D

Assertion is incorrect, reason is correct

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the assertion and the reason provided in the question. ### Step 1: Understand the Assertion The assertion states that "When a sphere rolls on a horizontal table, it slows down and eventually stops." This is true because when a sphere rolls, it experiences forces that cause it to decelerate. **Hint:** Think about the forces acting on the sphere as it rolls on the surface. ### Step 2: Analyze the Reason The reason given is that "When the sphere rolls on the table, both the sphere and the surface deform near the contact. As a result, the normal force does not pass through the center and provide an angular deceleration." This statement is also true. When the sphere rolls, the contact point between the sphere and the table experiences deformation, which affects how forces act on the sphere. **Hint:** Consider how the deformation at the contact point affects the normal force and torque. ### Step 3: Relate Assertion and Reason The reason explains why the sphere slows down and eventually stops. The deformation leads to a situation where the normal force does not act directly through the center of mass of the sphere, causing a torque that results in angular deceleration. This angular deceleration contributes to the sphere's slowing down. **Hint:** Think about how torque affects the rotational motion of the sphere. ### Step 4: Conclusion Both the assertion and the reason are correct, and the reason provides a valid explanation for the assertion. Therefore, we conclude that the assertion is true, the reason is true, and the reason correctly explains the assertion. **Final Answer:** Both the assertion and the reason are correct, and the reason is the correct explanation of the assertion.
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