SUMMARY
The speed of a 796 eV electron can be calculated using the kinetic energy formula, Ek = 1/2 mv². The correct conversion of electron volts (eV) to joules (J) is crucial, where 1 eV equals approximately 1.602e-19 J. By substituting the values, the equation becomes 796 eV = 1/2 * 9.11E-31 kg * v², leading to the correct calculation of speed as v = sqrt(2 * 796 * 1.602e-19 / 9.11E-31), resulting in approximately 4.18E6 m/s. Proper unit conversion and careful mathematical manipulation are essential for accurate results.
PREREQUISITES
- Understanding of kinetic energy equations
- Knowledge of unit conversion from electron volts to joules
- Familiarity with fundamental constants such as Planck's constant and electron mass
- Basic algebra skills for solving equations
NEXT STEPS
- Learn about the conversion of energy units, specifically eV to J
- Study the application of kinetic energy formulas in particle physics
- Explore the implications of relativistic effects on electron speeds
- Investigate the significance of Planck's constant in quantum mechanics
USEFUL FOR
Students in physics, particularly those studying particle dynamics, educators teaching energy concepts, and anyone interested in the calculations involving electron behavior in quantum mechanics.