## Question

###### A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest...

A sphere of radius *r* =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0? incline that is 10.0m long.

**Part A**

Calculate its translational speed when it reaches the bottom.

v=

**Part B**

Calculate its rotational speed when it reaches the bottom.

**Express your answer using three significant figures and include the appropriate units.**

**w =**

**Part C**

What is the ratio of translational to rotational kinetic energy at the bottom?

**Express your answer using three significant figures.**

KEtr/KErot =

**Part D**

Avoid putting in numbers until the end so you can answer: do your answers in previous parts depend on the radius of the sphere or its mass? Select the best answer

a) | Only the angular speed depends on the radius. None of the results depend on the mass. |

b) The angular and the translational speeds depend on the radius. None of the results depend on the mass. | |

c) Only the translational speed depends on the radius. None of the results depend on the mass. | |

d) The angular and the translational speeds depend on the radius and on the mass. |