SUMMARY
The acceleration due to gravity on Mercury is calculated using the formula \( g = \frac{GM}{r^2} \), where \( G \) is the gravitational constant, \( M \) is the mass of Mercury (3.30 x 10^23 kg), and \( r \) is the radius of Mercury (2.44 x 10^6 m). This results in a gravity value of approximately 3.7 m/s². Consequently, a person weighing 5.94 kg on Earth would weigh approximately 22.0 N on Mercury, demonstrating the significant impact of lower gravity on weight.
PREREQUISITES
- Understanding of Newton's Law of Gravitation
- Familiarity with Newton's Second Law of Motion
- Basic knowledge of gravitational acceleration calculations
- Ability to perform unit conversions between mass and weight
NEXT STEPS
- Research the formula for gravitational force and its applications
- Learn about the differences in gravity across the solar system
- Explore the implications of gravity on human physiology in different planetary environments
- Study the historical context of gravitational theories and their development
USEFUL FOR
Astronomy enthusiasts, physics students, educators, and anyone interested in the effects of gravity on different celestial bodies.