SUMMARY
To calculate the velocity of a 50.0g steel ball shot from a slingshot with a spring constant of 120 N/m, apply the principle of energy conservation. The elastic potential energy (PE) is calculated using the formula PE = 1/2 kx², where k is the spring constant and x is the displacement (35 cm). This potential energy converts to kinetic energy (KE) given by KE = 1/2 mv², allowing for the determination of the ball's velocity upon release.
PREREQUISITES
- Understanding of elastic potential energy and kinetic energy concepts
- Familiarity with the formulas PE = 1/2 kx² and KE = 1/2 mv²
- Basic knowledge of unit conversions (grams to kilograms)
- Ability to manipulate algebraic equations
NEXT STEPS
- Learn about energy conservation principles in physics
- Study the relationship between force, mass, and acceleration using Newton's second law
- Explore the effects of friction and air resistance on projectile motion
- Investigate different types of springs and their applications in mechanics
USEFUL FOR
Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of energy conversion in motion.