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Disks A and B are identical and roll acr...

Disks A and B are identical and roll across a floor with equal speeds. Then disk A rolls up an incline, reaching a maximum height h, and disk B moves up an incline that is identical except that it is frictionless. Is the maximum height reached by disk B greater than, less than, or equal to h?

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To solve the problem, we will use the principle of conservation of energy for both disks A and B. ### Step 1: Understand the initial conditions Both disks A and B are rolling with the same initial speed \( V \) on a flat surface before they start ascending their respective inclines. ### Step 2: Analyze Disk A Disk A rolls up an incline with friction. The total mechanical energy at the bottom (initial position) consists of translational kinetic energy and rotational kinetic energy: - Translational kinetic energy: \( KE_{trans} = \frac{1}{2} m V^2 \) ...
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