---
title: "A small sphere hangs from a string attached to the ceiling of a uniformly accelerating train car. It is observed that the string makes an angle of \\(37^\\circ\\) with respect to the vertical. The magnitude of the acceleration \\(a\\) of the train car is most nearly:"
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url: "https://nerd-notes.com/ubq/19571/"
date_modified: "2025-09-15T03:07:22+00:00"
---

# A small sphere hangs from a string attached to the ceiling of a uniformly accelerating train car. It is observed that the string makes an angle of \(37^\circ\) with respect to the vertical. The magnitude of the acceleration \(a\) of the train car is most nearly:

A small sphere hangs from a string attached to the ceiling of a uniformly accelerating train car. It is observed that the string makes an angle of \(37^\circ\) with respect to the vertical. The magnitude of the acceleration \(a\) of the train car is most nearly:

- **A.** \(8.9 \, \text{m/s}^2\)
- **B.** \(10.9 \, \text{m/s}^2\)
- **C.** \(13.2 \, \text{m/s}^2\)
- **D.** \(6.5 \, \text{m/s}^2\)
- **E.** \(7.4 \, \text{m/s}^2\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/19571/*