SUMMARY
The decrease in potential energy of a sliding tile with a mass of 1.2 kg sliding down a roof at a 35-degree angle is calculated using the formula PE = mgh. The correct calculation is PE = 1.2 kg x 10 m/s² x (3 m x sin(35°)), resulting in a decrease of 20.6 J. The initial miscalculation of 24.8 J arose from an incorrect value for the height component, specifically using 12 instead of the correct height derived from the angle.
PREREQUISITES
- Understanding of gravitational potential energy (PE = mgh)
- Knowledge of trigonometric functions, specifically sine
- Familiarity with basic physics concepts related to mass and acceleration due to gravity
- Ability to use a scientific calculator for trigonometric calculations
NEXT STEPS
- Review the principles of gravitational potential energy calculations
- Study the application of trigonometric functions in physics problems
- Learn how to accurately use a scientific calculator for physics calculations
- Explore the differences between using g = 9.8 m/s² and g = 10 m/s² in calculations
USEFUL FOR
Students studying physics, educators teaching energy concepts, and anyone interested in understanding the calculations of potential energy in inclined planes.