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

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Physics

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

  1. What form(s) of energy does the object have at the top of theramp, 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 justreached 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 thatdescribes energy conservation for the object.

  4. How is the angular velocity of rotation, ω, related to thecenter 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 velocityof the rolling object as a function of its initial height and otherphysical parameters.

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