SUMMARY
The gravitational potential energy (GPE) of the child-Earth system can be calculated using the formula GPE = mgy, where m is the mass of the child, g is the acceleration due to gravity (approximately 9.81 m/s²), and y is the height above the reference point. In this case, the child weighs 32.2 N, which corresponds to a mass of approximately 3.28 kg (using the relation weight = mg). The height y is given as 1.65 m, leading to a GPE of 53.1 Joules when calculated correctly.
PREREQUISITES
- Understanding of gravitational potential energy concepts
- Basic knowledge of physics equations related to energy
- Ability to convert weight to mass using the formula m = W/g
- Familiarity with units of measurement (Newtons, Joules)
NEXT STEPS
- Review the calculation of gravitational potential energy using different mass and height values
- Explore the relationship between potential energy and kinetic energy in mechanical systems
- Learn about the effects of varying gravitational acceleration on potential energy calculations
- Investigate real-world applications of gravitational potential energy in engineering and physics
USEFUL FOR
Students studying physics, educators teaching energy concepts, and anyone interested in understanding gravitational potential energy calculations.