A uniform sphere of radius R is placed on a rough horizontal surface and given a linear velocity `v_(0)` and angular velocity `omega_(0)` as shown. The sphere comes to rest after moving some distance to the right. It follows that

Options

A. r/2
B. r
C. 3r/2
D. 2

Answer

A

Explanation

`mV_(0)R-(mR^(2))/2. omega_(0)=0 rArr (V_(0))/(omega_(0))=R/2`