---
title: "The experimental diving rig is lowered from rest at the ocean’s surface and reaches a maximum depth of \\(80\\) \\(\\text{m}\\). Initially it accelerates downward at a rate of \\(0.10\\) \\(\\text{m/s}^2\\) until it reaches a speed of \\(2.0\\) \\(\\text{m/s}\\), which then remains constant. During the descent, the pressure inside the bell remains constant at \\(1\\) atmosphere. The top of the bell has a cross-sectional area \\(A = 9.0\\) \\(\\text{m}^2\\). The density of seawater is \\(1025\\) \\(\\text{kg/m}^3\\)."
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url: "https://nerd-notes.com/ubq/81609/"
date_modified: "2025-03-13T06:50:00+00:00"
---

# The experimental diving rig is lowered from rest at the ocean’s surface and reaches a maximum depth of \(80\) \(\text{m}\). Initially it accelerates downward at a rate of \(0.10\) \(\text{m/s}^2\) until it reaches a speed of \(2.0\) \(\text{m/s}\), which then remains constant. During the descent, the pressure inside the bell remains constant at \(1\) atmosphere. The top of the bell has a cross-sectional area \(A = 9.0\) \(\text{m}^2\). The density of seawater is \(1025\) \(\text{kg/m}^3\).

The experimental diving rig is lowered from rest at the ocean’s surface and reaches a maximum depth of \(80\) \(\text{m}\). Initially it accelerates downward at a rate of \(0.10\) \(\text{m/s}^2\) until it reaches a speed of \(2.0\) \(\text{m/s}\), which then remains constant. During the descent, the pressure inside the bell remains constant at \(1\) atmosphere. The top of the bell has a cross-sectional area \(A = 9.0\) \(\text{m}^2\). The density of seawater is \(1025\) \(\text{kg/m}^3\).

**Part a)** Calculate the total time it takes the bell to reach the maximum depth of \(80\) \(\text{m}\). *(3 points)*

**Part b)** Calculate the weight of the water on the top of the bell when it is at the maximum depth. *(3 points)*

**Part c)** Calculate the absolute pressure on the top of the bell at the maximum depth. *(3 points)*

**Part d)** On the top of the bell there is a circular hatch of radius \( r = 0.25 \) \(\text{m}\). Calculate the minimum force necessary to lift open the hatch of the bell at the maximum depth. *(3 points)*

**Part e)** What could you do to reduce the force necessary to open the hatch at this depth? Justify your answer. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/81609/*