Work Energy Problem Homework: Find v'B, W & in eV

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SUMMARY

The discussion centers on solving a work-energy problem involving a charged particle with a mass of 1.8 x 10^-5 kg and a charge of +3.25 x 10^-5 C. The particle is released from point A with an initial speed of 3.5 m/sec and accelerates to point B, where the potential difference is 32.5 V. The calculated final speed at point B is v'B = 11.38 m/sec. The work done by the electric force is derived from the change in potential energy, which is directly related to the potential difference between the two points.

PREREQUISITES
  • Understanding of electric potential energy (EPE)
  • Knowledge of the work-energy principle
  • Familiarity with the concept of electric force
  • Basic algebra for solving equations
NEXT STEPS
  • Study the relationship between electric potential difference and potential energy changes
  • Learn how to calculate work done by electric forces
  • Explore the derivation of the work-energy theorem
  • Investigate the conversion of Joules to electronvolts (eV)
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Students in physics, particularly those studying electromagnetism and energy conservation, as well as educators looking for examples of work-energy problems involving charged particles.

Mirth
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Homework Statement



A particle has a mass of m = 1.8*10^-5 kg and a charge of q = +3.25*10^-5 C. It is released from point A with an initial speed of v'A (v of A) = 3.5 m/sec and accelerates until it reaches point B. The charged particle moves along a straight line and does not rotate. The force on the particle is just the electric force. The potential difference between points A and B is V'A-V'B= 32.5 V.

a) Use ethe energy method to find the translational speed v'B of the particle at point B.
b) Find the work done by the electric force in Joules.
c) Convert the answer in part B into eV.


Homework Equations



Not sure.

The Attempt at a Solution



So after about an hour of hard work, I'm pretty sure that the answer is v'B = 11.38 m/sec.

I have NO clue what formula I would use to find Work for question b. The closest thing I can find in my book for this chapter is EPE'B - EPE'A = -W'AB. And from other chapter, W = F*d.

If anyone could help me get on track, I'd greatttly appreciate it.
 
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Mirth said:
The closest thing I can find in my book for this chapter is EPE'B - EPE'A = -W'AB. And from other chapter, W = F*d.

Yes exactly. The change in potential energy of the particle is equal to the negative of the work done on it between points A and B. So, what is the change in the particle's potential energy? Hint: how is it related to the potential difference between those two points?
 

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