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Home/ Questions/The five objects of various masses, each denoted m , all have the same radius.
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lyytutoria
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lyytutoriaExpert
Asked: April 11, 20222022-04-11T19:20:12+00:00 2022-04-11T19:20:12+00:00In: Physics

The five objects of various masses, each denoted m , all have the same radius.

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The five objects of various masses, each denoted m , all have the same radius. They are all rolling at the same speed as they approach a curved incline.

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Rotational Kinetic Energy and Conservation of Energy Ranking Task

Rank the objects based on the maximum height they reach along the curved incline. Rank from largest to smallest. To rank items as equivalent, overlap them. Hoop: m=0.2kg

Solid sphere: m=1.0 kg

Hollow sphere: m= 0.2kg

Solid cylinder: m= 0.2kg

Solid disk: m= 0.5kg

♦ Relevant knowledge
When objects revolve along an axis one of the factors that defines the ease of beginning and stopping the rotation is called the time of the inertia. It is measured in quantities of kilograms per kg.m2 and is useful for calculation of the energy in rotation in terms of angular momentum, as well as torque.

 

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    lyytutoria Expert
    2022-04-21T14:59:08+00:00Added an answer on April 21, 2022 at 2:59 pm

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  2. Harry Anderson
    2022-04-12T00:14:16+00:00Added an answer on April 12, 2022 at 12:14 am


    Rotational Kinetic Energy and Conservation of Energy Ranking Task

    The objects are rolling so they have translational and rotational energy from the conservation kinetic momentum. 1/2 mv2+ 1/2 iW2 = mgh = (1/2 Mv2+ 1/2 IW2)/mg. Therefore, the maximum object height depends on its moment inertia. The moment of the solid cylinder is 2/5MR2 while the moment is the sphere. 2/5MR2 is the moment is the hoop. 2/5MR2 is the moment is the solid sphere = solid cylinder > solid sphere
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