A solid sphere with a radius of 10 cm is rolling freely on a horizontal surface. The velocity of its center of mass is 2m/sec. It reaches an inclined plane that makes an angle of 37 degrees with the horizontal. The sphere then rolls up the inclined plane without slipping.
a. Find the acceleration of the center of mass while the sphere is rolling up the inclined plane.
b. what is the static coefficient of friction while the sphere is rolling up the plane?
c. How far will the sphere move up the inclined plane before it stops?