---
title: "Two solid blocks, Block 1 and Block 2, each of mass \\(M\\), are completely submerged in a tank containing an incompressible fluid of uniform density \\(\\rho\\). Block 1 has volume \\(V\\) and Block 2 has volume \\(2V\\), where \\(M > 2\\rho V\\). The blocks are connected by a light, inextensible string that passes over a light, frictionless pulley mounted above the tank. Immediately after the system is released from rest, what is the tension in the string in terms of the given quantities and fundamental constants?"
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url: "https://nerd-notes.com/ubq/122772/"
date_modified: "2026-09-28T11:02:52+00:00"
---

# Two solid blocks, Block 1 and Block 2, each of mass \(M\), are completely submerged in a tank containing an incompressible fluid of uniform density \(\rho\). Block 1 has volume \(V\) and Block 2 has volume \(2V\), where \(M > 2\rho V\). The blocks are connected by a light, inextensible string that passes over a light, frictionless pulley mounted above the tank. Immediately after the system is released from rest, what is the tension in the string in terms of the given quantities and fundamental constants?

Two solid blocks, Block 1 and Block 2, each of mass \(M\), are completely submerged in a tank containing an incompressible fluid of uniform density \(\rho\). Block 1 has volume \(V\) and Block 2 has volume \(2V\), where \(M > 2\rho V\). The blocks are connected by a light, inextensible string that passes over a light, frictionless pulley mounted above the tank. Immediately after the system is released from rest, what is the tension in the string in terms of the given quantities and fundamental constants?

![A schematic diagram showing a fluid apparatus. A rectangular open-top container is filled with fluid, indicated by a horizontal dashed line near the top labeled with the fluid density symbol \(\rho\). A circular pulley is mounted centered above the container. A single continuous line representing a string loops over the pulley. The left vertical segment of the string descends into the fluid and connects to the top center of a solid gray rectangle labeled \(1\). The right vertical segment of the string descends into the fluid to the same depth and connects to the top center of a larger solid gray rectangle labeled \(2\), where rectangle \(2\) has twice the vertical height of rectangle \(1\). Both rectangles are located entirely beneath the horizontal dashed liquid line. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790593372-RF5GJG.jpg)

- **A.** \(M g - \dfrac{1}{4}\rho V g\)
- **B.** \(M g - \dfrac{1}{2}\rho V g\)
- **C.** \(M g - \rho V g\)
- **D.** \(M g - \dfrac{3}{2}\rho V g\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/122772/*