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IP (a) One of the — Q charges in Figure 20-26 is given an
Chapter 20, Problem 100GP(choose chapter or problem)
(a) One of the charges in Figure 20–26 is given an outward “kick” that sends it off with an initial speed \(v_{0}\) while the other three charges are held at rest. If the moving charge has a mass m, what is its speed when it is infinitely far from the other charges?
(b) Suppose the remaining \(-Q\) charge, which also has a mass m, is now given the same initial speed, \(v_{0}\). When it is infinitely far away from the two \(+Q\) charges, is its speed greater than, less than, or the same as the speed found in part (a)? Explain.
Equation Transcription:
Text Transcription:
v0
-Q
v0
+Q
Questions & Answers
QUESTION:
(a) One of the charges in Figure 20–26 is given an outward “kick” that sends it off with an initial speed \(v_{0}\) while the other three charges are held at rest. If the moving charge has a mass m, what is its speed when it is infinitely far from the other charges?
(b) Suppose the remaining \(-Q\) charge, which also has a mass m, is now given the same initial speed, \(v_{0}\). When it is infinitely far away from the two \(+Q\) charges, is its speed greater than, less than, or the same as the speed found in part (a)? Explain.
Equation Transcription:
Text Transcription:
v0
-Q
v0
+Q
ANSWER:
Solution 100 GP:
Step 1 of 2:-
a)
Here, we have to find the speed of the charge when it is infinitely far away from the configuration.
Imagine the -Q charge was not there in the configuration, so, the work required to bring the charge from infinity to its given position is equal to the electrostatic potential energy of the charge.
So,
.
To take the charge to infinity we have to do amount of work.
So,
At infinity it will have only kinetic energy. So,
So, the speed at infinity will be .