---
title: "A person whose weight is \\(4.92 \\times 10^2 \\, \\text{N}\\) is being pulled up vertically by a rope from the bottom of a cave that is \\(35.2 \\, \\text{m}\\) deep. The maximum tension that the rope can withstand without breaking is \\(592 \\, \\text{N}\\). What is the shortest time, starting from rest, in which the person can be brought out of the cave?"
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url: "https://nerd-notes.com/ubq/20272/"
date_modified: "2025-09-17T06:43:23+00:00"
---

# A person whose weight is \(4.92 \times 10^2 \, \text{N}\) is being pulled up vertically by a rope from the bottom of a cave that is \(35.2 \, \text{m}\) deep. The maximum tension that the rope can withstand without breaking is \(592 \, \text{N}\). What is the shortest time, starting from rest, in which the person can be brought out of the cave?

A person whose weight is \(4.92 \times 10^2 \, \text{N}\) is being pulled up vertically by a rope from the bottom of a cave that is \(35.2 \, \text{m}\) deep. The maximum tension that the rope can withstand without breaking is \(592 \, \text{N}\). What is the shortest time, starting from rest, in which the person can be brought out of the cave?

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/20272/*