A ball rests upon a flat piece of paper on a | vedclass

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Question

(A) $1$. If there is no friction between the paper and the ball,the paper exerts no horizontal force on the ball. According to Newton's first law,the

Vedclass · Accepted Answer

Both $(A)$ and $(B)$

Vedclass · Answer

(A) $1$. If there is no friction between the paper and the ball,the paper exerts no horizontal force on the ball. According to Newton's first law,the ball will remain stationary relative to the table. Thus,statement $(A)$ is correct.$2$. If there is friction between the paper and the ball,the paper exerts a kinetic frictional force on the ball in the direction of the paper's motion (to the right). This force acts at the point of contact. This creates a torque about the center of mass of the ball,causing it to rotate in a counter-clockwise direction (rolling backwards). Simultaneously,the frictional force provides a linear acceleration to the right. However,the question asks for the motion relative to the table. The ball will move to the right,not to the left. Therefore,statement $(B)$ is incorrect.$3$. Statement $(C)$ is correct because the frictional force acts in the direction of the paper's motion,causing the ball to move forward (to the right) relative to the table.$4$. Since $(A)$ and $(C)$ are correct,but the options provided only allow for combinations,we re-evaluate the standard interpretation of this classic problem. In many contexts,$(B)$ is considered incorrect because the ball moves forward,not left. Thus,$(A)$ and $(C)$ are the correct physical outcomes. Given the options,$(A)$ is correct and $(C)$ is correct. If the question implies $(B)$ is incorrect,the best choice is $(A)$ and $(C)$. However,looking at the provided options,if we must choose,$(A)$ is a standard result. Let's re-examine: $(A)$ is correct. $(B)$ is false. $(C)$ is correct. Since $(A)$ and $(C)$ are both correct,and no option matches,we select the most appropriate combination based on standard physics problems of this type.

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