SUMMARY
The maximum compression of a spring when a 1 kg puck sliding at 20 m/s compresses it, while experiencing a frictional force of 4.0 N, is calculated to be 3.3 meters. The spring has a constant of 35 N/m. The solution involves equating the initial kinetic energy of the puck to the energy stored in the spring and the work done against friction, leading to the quadratic equation 0 = 17.5d² + 4d - 200.
PREREQUISITES
- Understanding of kinetic energy (KE = 1/2 mv²)
- Knowledge of spring constants (Hooke's Law)
- Familiarity with quadratic equations
- Basic principles of friction and work
NEXT STEPS
- Study the application of Hooke's Law in various mechanical systems
- Explore the effects of friction on energy conservation in physics
- Learn how to solve quadratic equations effectively
- Investigate real-world applications of springs in engineering
USEFUL FOR
Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of energy conservation and spring dynamics in problem-solving contexts.