SUMMARY
The discussion centers on a physics problem involving a vertical spring with a spring constant of 875 N/m, compressed by 0.160 m, and its ability to launch a 0.380 kg ball. The user calculated an upward speed of 7.68 m/s, while the textbook states the speed is 7.47 m/s. The discrepancy arises from the application of the conservation of energy principle, specifically the equation 1/2 k x^2 for the spring potential energy and the need to account for gravitational potential energy (m*g*h). Ultimately, the consensus is that the textbook's answer is correct, and the user needed to adjust their calculations to include gravitational effects.
PREREQUISITES
- Understanding of conservation of energy principles in physics
- Familiarity with spring constant calculations (Hooke's Law)
- Basic knowledge of gravitational potential energy (m*g*h)
- Ability to manipulate and solve algebraic equations
NEXT STEPS
- Review the conservation of energy in mechanical systems
- Study Hooke's Law and its applications in spring mechanics
- Learn how to incorporate gravitational potential energy in dynamic problems
- Practice similar physics problems involving springs and projectile motion
USEFUL FOR
Students studying physics, particularly those focusing on mechanics, as well as educators looking for clarification on energy conservation in spring systems.