SUMMARY
The roller coaster speed calculation at the bottom of a dip with a radius of 25 meters requires a correct application of Newton's laws. The passenger experiences an upward normal force of 3 times her weight, leading to the equation 3Mg = mv²/r. After resolving the forces, the correct speed of the roller coaster at the bottom of the dip is calculated to be 27.12 m/s. The discussion emphasizes the importance of considering both the normal force and gravitational force to determine the net force acting on the passenger.
PREREQUISITES
- Understanding of Newton's laws of motion
- Knowledge of centripetal force and its application
- Familiarity with basic physics concepts such as weight and normal force
- Ability to manipulate equations involving forces and acceleration
NEXT STEPS
- Review the principles of centripetal acceleration in circular motion
- Study the relationship between net force and acceleration in physics
- Learn how to apply Newton's second law in various scenarios
- Explore examples of forces acting on objects in vertical circular motion
USEFUL FOR
Physics students, educators, and anyone interested in understanding the dynamics of forces acting on objects in motion, particularly in amusement park ride design and analysis.