A uniform sphere of mass rolls without slipping on a plane horizontal surface with its centre moving at a speed of . Its kinetic energy is
Step 1. Given data:
Mass of sphere,
Speed of sphere about the center of mass
Step 2. Finding the kinetic energy:
The total kinetic energy is the sum of translation energy and rotational energy, i.e.
Moment of inertia of sphere is and angular velocity is
Hence, option A is correct.