SUMMARY
The problem involves calculating the normal force exerted on a 22.0 kg child sliding down a frictionless slide at a 37.0° angle. The correct formula to use is Fnormal = mg cos(θ), where m is the mass, g is the acceleration due to gravity (9.80 m/s²), and θ is the angle of the slide. The correct calculation yields a normal force of 172 N, confirming that the initial confusion stemmed from a sign error in the final answer.
PREREQUISITES
- Understanding of Newton's laws of motion
- Basic trigonometry, specifically cosine function
- Knowledge of gravitational force calculations
- Familiarity with free-body diagrams
NEXT STEPS
- Review the concept of normal force in physics
- Study the application of trigonometric functions in force calculations
- Practice problems involving inclined planes and frictionless surfaces
- Explore free-body diagram techniques for analyzing forces
USEFUL FOR
Students studying physics, particularly those focusing on mechanics and inclined plane problems, as well as educators looking for examples of normal force calculations.