The ring and the disk shown above have identical masses, radii, and velocities,

Question

The ring and the disk shown above have identical masses, radii, and velocities, and are not attached to each other. If the ring and the disk each roll without slipping up an inclined plane, the ring rolls a greater distance up the incline. Reasons for this include which of the following? Select two answers. The ring has a greater linear momentum than the disk. The ring has a greater total initial kinetic energy than the disk. The ring has greater frictional force acting on it than the disk. The ring has greater normal force acting on it than the disk.

Explanation / Answer

Here , for the ring and disk

moment of inertia of ring = m * r^2

moment of inertia of disk = 0.5 * m * r^2

as the moment of inertia of ring is higher , for same velocity in rolling

as total kinetic energy is given as

total kinetic energy = 0.5 * m * v^2 + 0.5 * I * w^2

as m ,v , w for both ring and disk are same but I for ring is greater

the total kinetic energy for ring will be greater and it goes higher.

the correct option is B) the ring has a greater total initial kinetic energy than the disk

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