Question

question 3 of 10 a spinning ice skater will slow down if she extends her arms away from her body. which of the following statements explains this phenomenon? a. a centripetal force always points outward. b. centripetal acceleration cannot change. c. circular motion is always uniform. d. angular momentum is always conserved.

Explanation:

The spinning ice - skater phenomenon is related to the conservation of angular momentum. When the skater extends her arms, her moment of inertia increases. Since angular momentum \(L = I\omega\) (where \(I\) is the moment of inertia and \(\omega\) is the angular velocity) is conserved in the absence of external torques, an increase in \(I\) leads to a decrease in \(\omega\), causing her to slow down. Centripetal force points inward, centripetal acceleration can change, and circular motion is not always uniform.

Answer:

D. Angular momentum is always conserved