---
title: "Car A of mass \\( m_A \\) is moving to the east along a straight road. Car B of mass \\( m_B \\) is moving to the north along another straight road. At the instant \\( t = 0 \\) shown in the figure, both cars are at their closest point to a flagpole, with Car A a distance \\( d_A \\) from the flagpole and Car B a distance \\( d_B \\) from the flagpole. The cars continue, each moving with constant speed, and reach the intersection of the two roads at time \\( t = t_f \\). Which of the following correctly expresses the magnitude of the total angular momentum of the two-car system about the flagpole at time \\( t = 0 \\)?"
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url: "https://nerd-notes.com/ubq/112926/"
date_modified: "2026-05-03T09:46:52+00:00"
---

# Car A of mass \( m_A \) is moving to the east along a straight road. Car B of mass \( m_B \) is moving to the north along another straight road. At the instant \( t = 0 \) shown in the figure, both cars are at their closest point to a flagpole, with Car A a distance \( d_A \) from the flagpole and Car B a distance \( d_B \) from the flagpole. The cars continue, each moving with constant speed, and reach the intersection of the two roads at time \( t = t_f \). Which of the following correctly expresses the magnitude of the total angular momentum of the two-car system about the flagpole at time \( t = 0 \)?

Car A of mass \( m_A \) is moving to the east along a straight road. Car B of mass \( m_B \) is moving to the north along another straight road. At the instant \( t = 0 \) shown in the figure, both cars are at their closest point to a flagpole, with Car A a distance \( d_A \) from the flagpole and Car B a distance \( d_B \) from the flagpole. The cars continue, each moving with constant speed, and reach the intersection of the two roads at time \( t = t_f \). Which of the following correctly expresses the magnitude of the total angular momentum of the two-car system about the flagpole at time \( t = 0 \)?

![Diagram](https://nerd-notes.com/wp-content/uploads/ubq-diagrams/nerd-notes-diagram-112926-1777801247-3sImvm.jpg)

- **A.** \[ \frac{ ( m_A + m_B ) d_A d_B }{ t_f } \]
- **B.** \[ \frac{ ( m_B – m_A ) d_A d_B }{ t_f } \]
- **C.** \[ \frac{ m_B d_A d_B }{ t_f } \]
- **D.** \[ \frac{ m_A d_A d_B }{ t_f } \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/112926/*