SUMMARY
A charged particle with a mass of 200g and a charge of 25 µC is suspended from an elastic cord with a force constant of 5 N/m in a vertical electric field of 3.7 x 10^5 N/C. The equilibrium condition is established by balancing the forces acting on the particle: the gravitational force (mg) acting downward, the restoring force from the elastic cord (kx) acting upward, and the electric force (F_e) also acting upward. The equation F_e + kx = mg is used to solve for the extension (x) of the cord when the particle is in equilibrium.
PREREQUISITES
- Understanding of Newton's laws of motion
- Familiarity with Hooke's Law
- Basic knowledge of electric fields and forces
- Ability to solve algebraic equations
NEXT STEPS
- Study Hooke's Law applications in different contexts
- Learn about electric field strength and its effects on charged particles
- Explore free body diagram techniques for analyzing forces
- Investigate equilibrium conditions in mechanical systems
USEFUL FOR
Students in physics, particularly those studying mechanics and electromagnetism, as well as educators looking for practical examples of force balance in charged systems.