Answered: Muhammad does an experiment where he…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Muhammad does an experiment where he uses a string attached to a spring scale to pull horizontally on a wooden block of unknown mass. He uses a second spring scale to push down on the block, exerting a series of forces F1 on B on it. For each of these downward forces, he pulls horizontally on the spring scale attached to the string to determine the maximum force F2 on B he can exert on the block in the horizontal direction before it slides. He records all of his measurements in the table below. Determine (a) the mass of the block and (b) the coefficient of friction between the block and the table.

Muhammad conducts an experiment using a string attached to a spring scale to pull horizontally on a wooden block of unknown mass. He uses a second spring scale to push down on the block, exerting a series of forces \(\vec{F}_1 \text{ on B}\) on it. For each of these downward forces, he pulls horizontally on the spring scale attached to the string to determine the maximum force \(\vec{F}_2 \text{ on B}\) he can exert on the block in the horizontal direction before it slides. He records all his measurements in the table below.

\[
\begin{array}{|c|c|}
\hline
\vec{F}_1 \text{ on B (N)} & \vec{F}_2 \text{ on B (N)} \\
\hline
1 & 2.71 \\
2 & 3.25 \\
3 & 3.81 \\
4 & 4.34 \\
5 & 4.91 \\
\hline
\end{array}
\]

**Instructions**

In a neat and organized fashion, write out a solution which includes the following:

1. A sketch of the physical situation with all given physical quantities clearly labeled.
2. A **force diagram** showing the forces exerted on the block during one trial of Muhammad's experiment and a **graph** of the data he collected.
3. Use your representations to determine (a) the mass of the block and (b) the coefficient of friction between the block and the table. Show all steps you take and explain the thought process behind each step as you work.
4. Evaluate your answer to determine whether it is reasonable or not.

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