A solid uniform sphere resting fona rough horizontal plane is given a horizontal impulse directed through its centre so that it starts sliding with an initial velocity v_(0). When it finally starts rolling without slipping the speed of its centre is

A solid uniform sphere resting fona rough horizontal plane is given a

1.	A solid uniform sphere resting fona rough horizontal plane is given a horizontal impulse directed through its centre so that it starts sliding with an initial velocity v_(0). When it finally starts rolling without slipping the speed of its centre is
Answer» `(2)/(7)v_(0)` `(3)/(7) v_(0)` `(5)/(7)v_(0)` `(6)/(7)v_(0)` SOLUTION :The angular momentum REMAINS censerved along the POINT of CONTACT between sphere and the inclined plane. So, `mv_(0)R = "mvR" + (2)/(5) mR^(2)((v)/(R )) "" or, v = (5)/(7)v_(0)`