SUMMARY
The discussion centers on the relationship between force and kinetic energy when the force is always perpendicular to the velocity of a particle. According to the work-energy theorem, the work done by the force is zero, leading to the conclusion that the kinetic energy remains constant. This is confirmed by the fact that a perpendicular force does not have a component along the direction of the velocity vector, thus not altering the particle's speed. Therefore, the kinetic energy of the particle remains unchanged throughout its motion.
PREREQUISITES
- Understanding of the work-energy theorem
- Basic knowledge of vector components
- Familiarity with the concept of kinetic energy
- Knowledge of motion in a plane
NEXT STEPS
- Study the implications of the work-energy theorem in different scenarios
- Explore the effects of non-perpendicular forces on kinetic energy
- Investigate the relationship between force, velocity, and acceleration
- Learn about energy conservation principles in physics
USEFUL FOR
Students of physics, educators teaching mechanics, and anyone interested in the principles of motion and energy conservation.