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Question

Statement 1: When a sphere rolls on a horizontal table it slows down and eventually stops.
Statement 2: 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 deceleration.

A
Statement 1 is false, Statement 2 is true
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B
Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation for Statement 1
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C
Statement 1 is true, Statement 2 is true; Statement 2 is not a correct explanation for Statement 1
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D
Statement 1 is true, Statement 2 is false
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Solution

The correct option is B Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation for Statement 1
Yes, when a sphere rolls on the surface then both deform near the contact. And thus the normal force acting at each point is different which provides necessary torque about centre of mass to cause angular declaration. Hence the sphere stops rotating.
Also the friction force causes linear retardation and so the translational motion also ceases.
Hence both the statements are true and statement 2 is a correct explanation of 1.

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