Final answer:
To calculate the work done by the stopping moment in reducing the skater's spin to 1 revolution per second, use the formula Work = (Change in angular kinetic energy) / (Change in angular velocity).
Step-by-step explanation:
When the ice skater extends her arms, her moment of inertia increases from 1.40 kgm² to 2.60 kgm². The stopping moment of force applied in the opposite direction of rotation reduces her angular velocity from 4.6 revolutions/second to 1 revolution/second. To calculate the work done by the stopping moment, we can use the formula:
Work = (Change in angular kinetic energy) / (Change in angular velocity)
Plugging in the values, we get:
- Change in angular kinetic energy = (1/2) * (Moment of inertia) * (Change in angular velocity)²
- Change in angular velocity = (Final angular velocity) - (Initial angular velocity)
Substituting the given values, we can calculate the work done by the stopping moment.