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Consider an object that begins rolling from rest at the top of an inclined plane. Assume...

Consider an object that begins rolling from rest at the top of an inclined plane. Assume that there is no slipping between the object and the ramp, and that the bottom of the ramp is defined as h = 0.

  1. What form(s) of energy does the object have at the top of the ramp, before it begins moving?

    (a) Gravitational Potential (c) Rotational Kinetic (b) Translational Kinetic (d) Thermal

  2. What form(s) of energy does the object have when it has just reached the bottom of the ramp? (a) Gravitational Potential (c) Rotational Kinetic

    (b) Translational Kinetic (d) Thermal

  3. Using your answers to #1 & #2, write an equation that describes energy conservation for the object.

  4. How is the angular velocity of rotation, ω, related to the center of mass velocity, v, for an object with radius r?

    (a) ω=v·r (b) ω=v·r2 (c) ω=v/r (d) ω=v2/r

  5. Using your answers to #3 & #4, solve for the final velocity of the rolling object as a function of its initial height and other physical parameters.

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