For the hollow sphere the speed would be 41. 1/2 points | Previous Answers My No

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For the hollow sphere the speed would be

41. 1/2 points | Previous Answers My Notes Ask Your Tea we consider a solid ball of mass 0.27 kg and radius 9 cm, rolling down an incline without slipping. Suppose the ball starts from rest and rolls enough that it drops vertically by a distance h = 0.87 m. Use conservation of energy to find the speed v of the ball The speed is 3.49 m/s Consider replacing the solid ball by a thin-walled hollow sphere with the same mass and the same radius For the hollow sphere the speed would be Submit Answer Save Progress Precice Andther Version

Explanation / Answer

using conservation of energy

Potential energy at the Top = kinetic energy at bottom + rotational kinetic energy

mgh = (0.5) m v2 + (0.5) I w2

mgh = (0.5) m v2 + (0.5) (2/3) (m r2) (v/r)2

mgh = (0.5) m v2 + (0.33) m v2

(9.8) (0.87) = (0.83) v2

v= 3.21 m/s

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