SUMMARY
The problem involves a child of mass 25 kg sliding down a frictionless stair rail inclined at a 40-degree angle. The correct acceleration is calculated using the equation f=ma, leading to an acceleration of 7.1 m/s², not the previously calculated 4.9 m/s². The error arose from misapplying the sine function for the angle, which should be sin(40) instead of sin(30). The final speed at the bottom after sliding 4.0 m can be determined using kinematic equations.
PREREQUISITES
- Understanding of Newton's second law (f=ma)
- Knowledge of kinematic equations for motion
- Basic trigonometry, specifically sine functions
- Concept of frictionless surfaces in physics
NEXT STEPS
- Review kinematic equations to calculate final velocity
- Study the application of trigonometric functions in physics problems
- Learn about inclined planes and forces acting on objects
- Explore real-world applications of frictionless motion scenarios
USEFUL FOR
Students studying physics, particularly those focusing on mechanics and motion, as well as educators looking for examples of inclined plane problems.