A 1740 kg car has just passed a diner. The closest the car came to the diner was R = 36.5 m, but the car has driven another x = 42.7 m in the 3.05 s elapsed since then. If the car travels at constant speed, what is the current magnitude Lof the angular momentum of the car about the diner? L= kg-m²/s

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A 1740 kg car has just passed a diner. The closest the car came to the diner was \( R = 36.5 \, \text{m} \), but the car has driven another \( x = 42.7 \, \text{m} \) in the 3.05 s elapsed since then. If the car travels at constant speed, what is the current magnitude \( L \) of the angular momentum of the car about the diner?

\[ L = \, \boxed{} \, \text{kg} \cdot \text{m}^2/\text{s} \]

**Diagram Explanation:**

The image on the right shows a car depicted in red traveling along a straight road that is aligned horizontally in the figure. The car is shown moving to the right. There is a diner located at the bottom right near the road, represented by a concentric set of square layers. Lines indicate the measurement \( R \), the shortest distance from the diner to the road, and \( x \), the distance the car has traveled along the road in the given time. The road is marked with a dashed yellow line in the center and has solid white lines at the edges.
Transcribed Image Text:A 1740 kg car has just passed a diner. The closest the car came to the diner was \( R = 36.5 \, \text{m} \), but the car has driven another \( x = 42.7 \, \text{m} \) in the 3.05 s elapsed since then. If the car travels at constant speed, what is the current magnitude \( L \) of the angular momentum of the car about the diner? \[ L = \, \boxed{} \, \text{kg} \cdot \text{m}^2/\text{s} \] **Diagram Explanation:** The image on the right shows a car depicted in red traveling along a straight road that is aligned horizontally in the figure. The car is shown moving to the right. There is a diner located at the bottom right near the road, represented by a concentric set of square layers. Lines indicate the measurement \( R \), the shortest distance from the diner to the road, and \( x \), the distance the car has traveled along the road in the given time. The road is marked with a dashed yellow line in the center and has solid white lines at the edges.
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