# Problem: A sphere of radius exttip{r_0}{r_0} = 23.0 cm and mass m = 1.20 kg starts from rest and rolls without slipping down a 36.0 degree incline that is 13.0 m long.a) Calculate its translational speed when it reaches the bottom.b) Calculate its rotational speed when it reaches the bottom.c) What is the ratio of translational to rotational kinetic energy at the bottom?d) Does your answer in part A depend on mass or radius of the ball? Part B? Part C?

###### Problem Details

A sphere of radius = 23.0 cm and mass m = 1.20 kg starts from rest and rolls without slipping down a 36.0 degree incline that is 13.0 m long.
a) Calculate its translational speed when it reaches the bottom.
b) Calculate its rotational speed when it reaches the bottom.
c) What is the ratio of translational to rotational kinetic energy at the bottom?
d) Does your answer in part A depend on mass or radius of the ball? Part B? Part C?