SUMMARY
The discussion focuses on calculating the spring constant using the elastic potential energy formula, Us = 0.5kx², in a physics lab experiment involving a 22 g ball launched horizontally by a spring. The spring is compressed by 18 cm, allowing the ball to travel 5.2 m horizontally and fall 1.5 m vertically. The key to solving the problem lies in applying energy conservation principles and kinematic equations to determine the ball's velocity and subsequently the spring constant.
PREREQUISITES
- Understanding of elastic potential energy and the formula Us = 0.5kx²
- Knowledge of kinematic equations, specifically y = y₀ + v₀yt - 0.5gt² and x = v₀xt
- Familiarity with energy conservation principles in physics
- Basic skills in solving quadratic equations
NEXT STEPS
- Calculate the velocity of the ball using the kinematic equations provided
- Determine the time of flight based on the vertical drop of 1.5 m
- Use the calculated velocity to find the spring constant k
- Explore additional examples of energy conservation in projectile motion
USEFUL FOR
Students in physics courses, educators teaching mechanics, and anyone interested in understanding the principles of elastic potential energy and projectile motion.