A vinyl record $($disk$)$ has a known rotational inertia $I_D.$ The record's initial angular velocity of ${}_D$ is in the counterclockwise direction. After an unknown time interval, the record comes to rest. An ant is on the record but does not move relative to the record. The ant revolves around the center axle hundreds of times before the record comes to rest. Frictional forces are considered to be constant. You and your friends must determine the angular impulse that frictional forces exert on the record from the moment it rotates with angular velocity in the counterclockwise direction until it stops. What additional data, if any, should a student collect to determine the angular impulse on the disk? Justify your selection.

The time interval in which the net torque is applied, because a net torque is not exerted on the disk at a single instant in time.

The net torque exerted on the disk, because a net torque is responsible for an angular impulse.

The force of friction exerted on the disk, because a force component perpendicular to the line connecting the axis of rotation and the point of application of the force results in a torque about that axis.

No additional data are necessary, because the rotational inertia of the disk and its initial angular velocity are known.