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A solid sphere of mass M and radius R starts from rest at the top of...

  1. A solid sphere of mass M and radius R starts from rest at the top of an inclined ramp, and rolls to the bottom.  The upper end of the ramp is h meters higher than the lower end.  (Note: The moment of inertia for a solid sphere rotating about an axis through its center is (2/5)MR2)
    1. Draw an energy bar chart & corresponding equation for this situation

  1. Symbolically, what is the linear speed of the sphere at the bottom of the ramp in terms of M, R, h and g?

  1. If Mass = 4.0 kg, R=0.12 m, h=1.2 m, and g= 9.8 m/s2 what is the velocity of the sphere?

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