Question

when an ice skater pulls their arms in while spinning, they spin faster because their bodys center of gravity changes. true false

Explanation:

The reason an ice - skater spins faster when pulling in their arms is due to the conservation of angular momentum ($L = I\omega$, where $I$ is the moment of inertia and $\omega$ is the angular velocity). When the skater pulls in their arms, the moment of inertia $I$ decreases. Since there is no external torque (assuming a frictionless environment, which is a good approximation for ice - skating), angular momentum $L$ is conserved. So, if $L$ is constant and $I$ decreases, $\omega$ (the spin rate) must increase. It is not because of a change in the center of gravity. The center of gravity change is a much less significant factor compared to the change in moment of inertia for the purpose of explaining the increased spin rate.

Answer:

B. False