SUMMARY
The maximum gravitational force between a bowling ball (mass = 5.9 kg, radius = 0.11 m) and a billiard ball (mass = 0.36 kg, radius = 0.028 m) is calculated using Newton's law of universal gravitation. The formula F = -Gm1m2/r^2 yields a value of -7.43913043 × 10^-9 N, where G is the gravitational constant (6.67 × 10^-11 N m²/kg²). However, since the question asks for the magnitude, the correct answer is 7.43913043 × 10^-9 N, disregarding the negative sign.
PREREQUISITES
- Understanding of Newton's law of universal gravitation
- Familiarity with gravitational constant (G = 6.67 × 10^-11 N m²/kg²)
- Basic knowledge of mass and radius of uniform spheres
- Ability to perform calculations involving scientific notation
NEXT STEPS
- Review the derivation of Newton's law of universal gravitation
- Explore applications of gravitational force in real-world scenarios
- Learn about the significance of negative signs in physics equations
- Investigate the effects of mass and distance on gravitational force
USEFUL FOR
Students studying physics, particularly those focusing on gravitational forces, as well as educators looking for examples of gravitational calculations.