---
title: "A small sphere of mass \\(m = 2.0 \\text{ kg}\\) is released from rest at time \\(t = 0\\) in a viscous fluid. The sphere experiences a constant downward gravitational force and an upward drag force of magnitude \\(F_d = bv\\), where \\(v\\) is the speed of the sphere and \\(b\\) is a positive constant. The graph shows the speed \\(v\\) of the sphere as a function of time \\(t\\). Based on the graph, what is the value of the drag coefficient \\(b\\)?"
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url: "https://nerd-notes.com/ubq/117647/"
date_modified: "2026-08-04T07:49:28+00:00"
---

# A small sphere of mass \(m = 2.0 \text{ kg}\) is released from rest at time \(t = 0\) in a viscous fluid. The sphere experiences a constant downward gravitational force and an upward drag force of magnitude \(F_d = bv\), where \(v\) is the speed of the sphere and \(b\) is a positive constant. The graph shows the speed \(v\) of the sphere as a function of time \(t\). Based on the graph, what is the value of the drag coefficient \(b\)?

A small sphere of mass \(m = 2.0 \text{ kg}\) is released from rest at time \(t = 0\) in a viscous fluid. The sphere experiences a constant downward gravitational force and an upward drag force of magnitude \(F_d = bv\), where \(v\) is the speed of the sphere and \(b\) is a positive constant. The graph shows the speed \(v\) of the sphere as a function of time \(t\). Based on the graph, what is the value of the drag coefficient \(b\)?

![A graph of speed v in meters per second (\text{m/s}) on the vertical axis versus time t in seconds (\text{s}) on the horizontal axis. The vertical axis has tick marks labeled 0, 2, 4, 6, 8, 10, and 12. The horizontal axis has tick marks labeled 0, 1, 2, 3, 4, and 5. A horizontal dashed line extends horizontally across the plot at v = 10. A solid curve originates at (0,0) and rises smoothly, asymptotically approaching the horizontal dashed line at v = 10. A straight dashed tangent line starts at (0,0) and passes through the point (1,10). No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-graph-1-1785829768-A843Pu.jpg)

- **A.** \(0.20 \text{ kg/s}\)
- **B.** \(0.50 \text{ kg/s}\)
- **C.** \(2.0 \text{ kg/s}\)
- **D.** \(20 \text{ kg/s}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117647/*