Two balls have their centers of mass 1m apart. One has a mass of 5kg and the other has a mass of 8kg. What is the gravitational force between them?
The gravitational force between two objects is given by the equation:
F = G * (m1 * m2) / r^2
Where F is the gravitational force, G is the gravitational constant (approximately 6.674 × 10^-11 N m^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass.
Plugging in the given values:
m1 = 5kg
m2 = 8kg
r = 1m
F = 6.674 × 10^-11 N m^2/kg^2 * (5kg * 8kg) / (1m)^2
F = 6.674 × 10^-11 N m^2/kg^2 * 40kg^2 / 1m^2
F = 6.674 × 10^-11 N * 40
F = 2.6696 × 10^-9 N
Therefore, the gravitational force between the two balls is approximately 2.6696 × 10^-9 N.