---
title: "A continuous horizontal jet of fluid with density \\(\\rho = 1000\\text{ kg/m}^3\\) and constant cross-sectional area \\(A = 5.0 \\times 10^{-4}\\text{ m}^2\\) is directed perpendicularly toward a stationary, vertical flat wall. At the instant the fluid reaches the wall, its speed is given by the function \\(v(t) = (3.0t + 1.0)\\text{ m/s}\\), where \\(t\\) is in seconds. Upon impact, the fluid loses all of its horizontal momentum and flows smoothly along the surface of the wall without splashing backward. What is the magnitude of the total impulse imparted to the wall by the fluid from \\(t = 0\\text{ s}\\) to \\(t = 2.0\\text{ s}\\)?"
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url: "https://nerd-notes.com/ubq/120752/"
date_modified: "2026-08-23T04:43:00+00:00"
---

# A continuous horizontal jet of fluid with density \(\rho = 1000\text{ kg/m}^3\) and constant cross-sectional area \(A = 5.0 \times 10^{-4}\text{ m}^2\) is directed perpendicularly toward a stationary, vertical flat wall. At the instant the fluid reaches the wall, its speed is given by the function \(v(t) = (3.0t + 1.0)\text{ m/s}\), where \(t\) is in seconds. Upon impact, the fluid loses all of its horizontal momentum and flows smoothly along the surface of the wall without splashing backward. What is the magnitude of the total impulse imparted to the wall by the fluid from \(t = 0\text{ s}\) to \(t = 2.0\text{ s}\)?

A continuous horizontal jet of fluid with density \(\rho = 1000\text{ kg/m}^3\) and constant cross-sectional area \(A = 5.0 \times 10^{-4}\text{ m}^2\) is directed perpendicularly toward a stationary, vertical flat wall. At the instant the fluid reaches the wall, its speed is given by the function \(v(t) = (3.0t + 1.0)\text{ m/s}\), where \(t\) is in seconds. Upon impact, the fluid loses all of its horizontal momentum and flows smoothly along the surface of the wall without splashing backward. What is the magnitude of the total impulse imparted to the wall by the fluid from \(t = 0\text{ s}\) to \(t = 2.0\text{ s}\)?

![A side-view schematic showing a horizontal fluid stream flowing from left to right toward a vertical wall. On the left, a horizontal cylindrical fluid jet of cross-sectional area \(A\) moves horizontally with velocity vector labeled \(v(t)\) pointing to the right toward a thick vertical surface representing the wall. At the point of contact on the vertical wall, the fluid stream spreads out vertically upward and downward along the wall surface. A label \(\rho\) indicates the fluid density. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787460179-8LHrc1.jpg)

- **A.** \(16\text{ N}\cdot\text{s}\)
- **B.** \(19\text{ N}\cdot\text{s}\)
- **C.** \(38\text{ N}\cdot\text{s}\)
- **D.** \(49\text{ N}\cdot\text{s}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120752/*