Bri S.

asked • 12/02/21

A sphere of mass 4.30 kg and radius 20.0 cm, rolls without slipping down an incline.

A sphere of mass 4.30 kg and radius 20.0 cm, rolls without slipping down an incline. The sphere starts from rest at an elevation of 5.30 m above the bottom of the incline.


sphere on incline


A. What is the moment of inertia of the sphere?

I =  kg m2


B. Using conservation of energy, what is the speed, v, of the sphere as it reaches the bottom of the incline?


v =  m/s


C. What angular speed, 𝜔, did the sphere reach at the bottom of the incline?

𝜔 =  rad/s


D. If the incline is tilted 34.0o to the horizontal, what was the sphere's angular acceleration, 𝛼, as it descended the incline?

𝛼 =  rad/s2


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