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March 24, 2017

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A ball of mass .15 kg and a radius of .24 m is at the top of a 3.5 m tall hill with a 25 degree incline. What is the velocity of the ball as it reaches the bottom of the hill if it (a) rolls without slipping? (b)slips without rolling?

  • physics - ,

    The height of the hill H tells you the potential energy per unit mass, gH.

    This equals the kinetic energy at the bottom in both cases.

    In case (b), the KE per unit mass is just V squared.

    In acase (a), rotational kinetic energy must be included, and the velocity will be less.

    You will need to use the equation for the moment of inertia of a sphere.

    We wll be happy to critique your work.

  • physics - ,

    Ok thanks! I think I figured out the equation..

    you use mgh=1/2mv^2 + 1/2Iw^2 and solve for v. right?

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