---
title: "The diagram below shows a hydraulic chamber with a spring \\( (k_s = 1250 \\, \\text{N/m}) \\) attached to the input piston and a rock of mass \\( 55.2 \\, \\text{kg} \\) resting on the output plunger. The input piston and output plunger are at about the same height, and each has negligible mass. The chamber is filled with water."
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url: "https://nerd-notes.com/ubq/87524/"
date_modified: "2025-10-26T17:05:19+00:00"
---

# The diagram below shows a hydraulic chamber with a spring \( (k_s = 1250 \, \text{N/m}) \) attached to the input piston and a rock of mass \( 55.2 \, \text{kg} \) resting on the output plunger. The input piston and output plunger are at about the same height, and each has negligible mass. The chamber is filled with water.

The diagram above shows a hydraulic chamber with a spring \( (k_s = 1250 \, \text{N/m}) \) attached to the input piston and a rock of mass \( 55.2 \, \text{kg} \) resting on the output plunger. The input piston and output plunger are at about the same height, and each has negligible mass. The chamber is filled with water.

![Diagram](https://nerd-notes.com/wp-content/uploads/2025/04/hydaulicpistonfluidsubq-300x199.png)

**Part a)** In order for them to remain in equilibrium, by how much must the spring be compressed from its relaxed position? *(3 points)*

**Part b)** If the input piston drops \( 22.0 \, \text{cm} \), by how much does the output plunger rise (cm)? *(3 points)*

**Part c)** If the total depth of the water, from input piston to the floor of the chamber, is \( 85.0 \, \text{cm} \), what is the absolute pressure on the bottom surface of the chamber? *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/87524/*