A 4.00 kg solid sphere of radius 5.00 cm starts from rest and rolls without slipping down a 30.0 degree incline. If the length of the incline is 50.0 cm, then the velocity of the center of mass of the solid sphere at the bottom of the incline is
A) 1.69 m/s.
B) 1.87 m/s.
C) 2.33 m/s.
D) 2.75 m/s.
E) 3.22 m/s.

Question

Quizplus · Accepted Answer

The velocity of the center of mass can be found using energy conservation. The potential energy at the top is converted into translational and rotational kinetic energy at the bottom. Solving for the velocity gives approximately 1.87 m/s.

A 400 Kg Solid Sphere of Radius 5