In a scientific apparatus, an electron (with a mass of 9.1 x 10-³¹ kg and an electrical charge of -1.6 x 10-¹⁹ C) is accelerated through a region with a uniform electric field. The V-field at the point where the electron enters the electric field is 20 V and the V-field at the point where the electron exits the electric field is 50 V. If the electron enters the electric field with an initial speed of 1.0 x 10¹ m/s, how fast is it moving when it exits the electric field?

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In a scientific apparatus, an electron (with a mass of 9.1 x 10-³¹ kg and an electrical charge
of -1.6 x 10-¹⁹ C) is accelerated through a region with a uniform electric field. The V-field
at the point where the electron enters the electric field is 20 V and the V-field at the point
where the electron exits the electric field is 50 V. If the electron enters the electric field with
an initial speed of 1.0 x 10¹ m/s, how fast is it moving when it exits the electric field?
Transcribed Image Text:In a scientific apparatus, an electron (with a mass of 9.1 x 10-³¹ kg and an electrical charge of -1.6 x 10-¹⁹ C) is accelerated through a region with a uniform electric field. The V-field at the point where the electron enters the electric field is 20 V and the V-field at the point where the electron exits the electric field is 50 V. If the electron enters the electric field with an initial speed of 1.0 x 10¹ m/s, how fast is it moving when it exits the electric field?
In a neat and organized fashion, write out a solution to the problem above which includes all
of the following:
●
A fully-labeled sketch of the physical situation which includes all relevant objects and
moments in time. Include the E-field and V-field lines in your sketch.
• An energy bar chart representing the energy in the {electron, field} system at the moments
when the electron (a) enters and (b) exits the electric field.
●
Use your representations and your knowledge of physics to determine the speed at which
the electron exits the electric field. Explain each step in your solution as you make it.
An evaluation of your solution (not just your final answer).
Transcribed Image Text:In a neat and organized fashion, write out a solution to the problem above which includes all of the following: ● A fully-labeled sketch of the physical situation which includes all relevant objects and moments in time. Include the E-field and V-field lines in your sketch. • An energy bar chart representing the energy in the {electron, field} system at the moments when the electron (a) enters and (b) exits the electric field. ● Use your representations and your knowledge of physics to determine the speed at which the electron exits the electric field. Explain each step in your solution as you make it. An evaluation of your solution (not just your final answer).
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