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Physics / Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) 4 / Chapter 25 / Problem 25.75

Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition | ISBN: 9780134081496 | Authors: Randall D. Knight (Professor Emeritus)

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Two small metal cubes with masses 2.0 g and 4.0 g are tied

Chapter 25, Problem 25.75

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QUESTION:

Two small metal cubes with masses 2.0 g and 4.0 g are tied together by a 5.0-cm-long massless string and are at rest on a frictionless surface. Each is charged to +2.0 \(\mu C\).

a. What is the energy of this system?

b. What is the tension in the string?

c. The string is cut. What is the speed of each cube when they are far apart?

Hint: There are two conserved quantities. Make use of both.

Questions & Answers

QUESTION:

Two small metal cubes with masses 2.0 g and 4.0 g are tied together by a 5.0-cm-long massless string and are at rest on a frictionless surface. Each is charged to +2.0 \(\mu C\).

a. What is the energy of this system?

b. What is the tension in the string?

c. The string is cut. What is the speed of each cube when they are far apart?

Hint: There are two conserved quantities. Make use of both.

ANSWER:

Step 1 of 4

i) Consider the expression for energy,

Substitute for, for both charges and for.

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