A Puck Moves on a Horizontal Air Table $\sqrt { 2 }$

question 28

Multiple Choice

A puck moves on a horizontal air table. It is attached to a string that passes through a hole in the center of the table. As the puck rotates about the hole, the string is pulled downward very slowly and shortens the radius of rotation, so the puck gradually spirals in towards the center. By what factor will the puck's angular speed have changed when the string's length has decreased to one-half of its original length?

• A)2
• B)4
• C) \(\sqrt { 2 }\)
• D)1
• E)1/2

---

Definitions:

Scented Candles

Candles infused with fragrant oils that release a pleasant aroma when burned, often used for relaxation, ambiance, or aromatherapy.

Marginal Utility

The increased contentment or advantage obtained by the consumption of an extra unit of a good or service.

Consumer Surplus

The difference between what consumers are willing to pay for a good or service and what they actually pay, representing the benefit to consumers from participating in the market.

Utility

Utility refers to the total satisfaction received from consuming a good or service.