# physics

posted by
**Alyssa**
.

A solid sphere of radius 23 cm is positioned at the top of an incline that makes 23 degree angle with the horizontal. This initial position of the sphere is a vertical distance 3 m above its position when at the bottom of the incline. The sphere is released and moves down the incline.

Find the speed of the sphere when it reaches the bottom of the incline if it rolls without slipping. The acceleration of gravity is 9.8 m/s^2 and the moment of inertia of a sphere with respect to an axis through its center is 2/5 MR^2.

Find the speed of the sphere if it reaches the bottom of the incline by slipping frictionlessly without rolling.