Conceptual Physics: The High School Physics Program
Conceptual Physics: The High School Physics Program
9th Edition
ISBN: 9780133647495
Author: Paul G. Hewitt
Publisher: Prentice Hall
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Textbook Question
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Chapter 6, Problem 66A

Suppose the masses described in problem 65 are 1 kg and 100 kg, respectively. Compare the accelerations when they are interchanged, that is, for the case where the 1-kg mass dangles over the pulley, and then for the case where the 100-kg mass dangles over the pulley. What does this indicate about the maximum acceleration of such a system of masses?

Expert Solution & Answer
Check Mark
To determine

To explain: The comparison of acceleration of masses for the given cases. Also, the information about the maximum acceleration of such a system of masses.

Answer to Problem 66A

The acceleration of the 100 kg mass dangles over the pulley is higher compared to the system of masses. The maximum acceleration of such system of masses is g.

Explanation of Solution

Given:

The masses (m) are 1 kg and 100 kg .

Formula used:

The expression for force is,

  F=ma

Here, m is the mass and a is the acceleration.

The expression for weight is,

  W=Fg=mg

Here, Fg is the force of gravitation, m is the mass, and g is the acceleration due to gravity.

Calculation:

Consider the acceleration due to gravity as g=9.8m/s2 and the net force acting on the system will be equal to the weight of the weight that dangles over the pulley.

Consider the case when 1 kg mass is dangled over the pulley while 100 kg mass is lying on the table.

Sketch the pulley diagram as shown in below.

  Conceptual Physics: The High School Physics Program, Chapter 6, Problem 66A , additional homework tip  1

The acceleration of the system is,

  F=mamg=mtotala(1 kg)g=(100 kg+1 kg)aa=g101

Consider the case when the 100 kg mass dangles over the pulley while 1 kg mass is lying on the table.

Sketch the pulley diagram as shown in Figure below.

  Conceptual Physics: The High School Physics Program, Chapter 6, Problem 66A , additional homework tip  2

The acceleration of the system is,

  F=mamg=mtotala(100 kg)g=(100 kg+1 kg)aa=100g101

Hence, the acceleration will be more when 100 kg mass is dangled over the pulley is higher compared to the system of masses. Also, the value of maximum acceleration will be g.

Chapter 6 Solutions

Conceptual Physics: The High School Physics Program

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