SUMMARY
An electron accelerated from rest by a potential difference of 422 V achieves a velocity calculated through energy conservation principles. The initial potential energy is converted into kinetic energy, leading to the equation 422 eV = 0.5mv^2. The correct approach involves converting the potential energy from electronvolts (eV) to joules, resulting in the equation 6.752E-17 J = 0.5mv^2, which yields the accurate velocity of the electron.
PREREQUISITES
- Understanding of kinetic energy (KE = 0.5mv^2)
- Knowledge of potential energy in electronvolts (eV)
- Familiarity with charge of an electron (q)
- Basic principles of energy conservation
NEXT STEPS
- Learn about energy conversion between electronvolts and joules
- Study the concept of electric potential and its effects on charged particles
- Explore the relationship between charge, potential difference, and energy (U = q * deltaV)
- Investigate the motion of charged particles in electric fields
USEFUL FOR
Students in physics, particularly those studying electromagnetism and energy conservation, as well as educators seeking to clarify concepts related to electron dynamics and energy transformations.