SUMMARY
The gravitational constant G, valued at 6.67 x 10^-11 m^3*s^-2*kg^-1, can be converted to cm^3*s^2*g^-1 by applying unit conversion principles. The conversion involves recognizing that 1 kg equals 1000 g and 1 m equals 100 cm. The correct conversion results in G being expressed as 6.67 x 10^-5 cm^3*s^2*g^-1. A common misconception addressed in the discussion is the misunderstanding of dimensional consistency during unit conversion, specifically regarding the exponent of time.
PREREQUISITES
- Understanding of unit conversion principles
- Familiarity with dimensional analysis
- Knowledge of metric system conversions (kg to g, m to cm)
- Basic grasp of physical constants and their units
NEXT STEPS
- Study dimensional analysis techniques for unit conversions
- Learn about the significance of physical constants in physics
- Explore advanced unit conversion methods in scientific calculations
- Review examples of common unit conversion errors and their resolutions
USEFUL FOR
Students in physics, educators teaching unit conversions, and professionals in scientific fields requiring accurate unit transformations.