Question

part a

a girl moves quickly to the center of a spinning merry-go-round, traveling along the radius of the merry-go-round. which of the following statements are true?

check all that apply.

the moment of inertia of the system remains constant.
the moment of inertia of the system increases.
the moment of inertia of the system decreases.
the angular speed of the system increases.
the angular speed of the system decreases.
the angular speed of the system remains constant.

Explanation:

Analyze the change in moment of inertia

$$
LATEXBLOCK0
$$

Apply conservation of angular momentum

$$
LATEXBLOCK1
$$

Answer:

• The moment of inertia of the system remains constant.
• The moment of inertia of the system increases.
• The moment of inertia of the system decreases. (Correct answer)
• The angular speed of the system increases. (Correct answer)
• The angular speed of the system decreases.
• The angular speed of the system remains constant.