SUMMARY
The maximum velocity of a 4 kg sphere falling from a height of 70 cm onto a spring with a constant of 200 N/m is calculated to be 4 m/s. The total energy conservation principle is applied, where the gravitational potential energy (Ep) is converted into elastic potential energy (Eel) and kinetic energy (Ek). The calculations involve using the equations Ep = mgh, Ek = mv²/2, and Eel = kx²/2, leading to the conclusion that the sphere's velocity upon contact with the spring is 4 m/s, confirming the energy conservation approach.
PREREQUISITES
- Understanding of gravitational potential energy (Ep = mgh)
- Knowledge of kinetic energy (Ek = mv²/2)
- Familiarity with elastic potential energy (Eel = kx²/2)
- Concept of energy conservation in mechanical systems
NEXT STEPS
- Study the principles of energy conservation in mechanical systems
- Explore the dynamics of spring-mass systems
- Learn about the relationship between force, mass, and acceleration (F = ma)
- Investigate real-world applications of potential and kinetic energy in engineering
USEFUL FOR
Students studying physics, particularly those focusing on mechanics and energy conservation, as well as educators looking for practical examples of energy transformations in systems involving springs and falling objects.