How Much Work is Done on a Charged Particle Between Two Equipotential Surfaces?

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SUMMARY

The work done on a charged particle moving between two equipotential surfaces can be calculated using the change in kinetic energy and the electric potential difference. In this case, the particle moves from surface A at 5650V to surface B at 7850V, with a mass of 5.00 x 10^-2 kg and a charge of +4.00 x 10^-5 C. The initial speed is 2.00 m/s and the final speed is 3.00 m/s. The work done by the outside force is determined by the equation W = ΔKE + qΔV, where ΔKE is the change in kinetic energy and ΔV is the change in electric potential.

PREREQUISITES
  • Understanding of kinetic energy calculations
  • Familiarity with electric potential and equipotential surfaces
  • Knowledge of the work-energy principle
  • Basic understanding of forces acting on charged particles
NEXT STEPS
  • Calculate the change in kinetic energy using the formula ΔKE = 0.5 * m * (v_final^2 - v_initial^2)
  • Learn about the relationship between electric potential difference and work done on charged particles
  • Study the concept of equipotential surfaces in electrostatics
  • Explore the implications of external forces on charged particle motion in electric fields
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism and mechanics, as well as educators looking for practical examples of work-energy principles in charged particle dynamics.

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Homework Statement



Equipotential surface A has a potential of 5650V, while equipotential surface B has a potential of 7850V. A particle has a mass of 5.00*10^-2kg and a charge of +4.00*10^-5. The particle has a speed of 2.00 m/s on the surface A. An outside force is applied to the particle and it moves to surface B, arriving there with a speed of 3.00 m/s. How much work is done by the outside force in moving the particle from A to B?

Homework Equations





The Attempt at a Solution


Can someone please help me with this problem? I really need help with how to start this problem and what equations to use! Please help.
 
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What is the equation for relating Work and equipotential surfaces?

What changes in kinetic energy have occurred?
 

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