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AP Physics C: Mechanics
6.2 Torque and Work
6.1 Rotational Kinetic Energy
IntermediateMCQMathematicalConceptual22.8k
A schematic showing two disks mounted on fixed horizontal axles. On the left, a circular disk labeled Disk 1 has a rotational inertia labeled \(I_1 = I_0\). On the right, a second circular disk labeled Disk 2 has a rotational inertia labeled \(I_2 = 2I_0\). A dashed horizontal line passes through the center of both disks to represent their fixed axes of rotation. Around the circumference of Disk 1 is a curved arrow indicating a net torque labeled \(\tau_0\). Around the circumference of Disk 2 is an identical curved arrow in the same rotational direction, also labeled \(\tau_0\). Both disks are shown facing forward as flat circles. No other labels, lines, text, or axes appear.
Two disks of different rotational inertias subjected to identical constant torques.
Two uniform solid disks, Disk 1 and Disk 2, are mounted on separate frictionless horizontal axles. Disk 1 has rotational inertia \(I_1 = I_0\) and Disk 2 has rotational inertia \(I_2 = 2I_0\). Starting from rest, each disk is rotated through the same angular displacement \(\Delta\theta\) by an identical constant net torque \(\tau_0\). Which of the following correctly pairs the relationship between the total work \(W_1\) and \(W_2\) done on the disks with the relationship between their final rotational kinetic energies \(K_1\) and \(K_2\)?

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