Two balls have their centers of mass 2m 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 can be calculated using the formula:
F = G * (m1 * m2) / r^2
where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass.
Given the following values:
m1 = 5kg
m2 = 8kg
r = 2m
The formula will be:
F = G * (5kg * 8kg) / (2m)^2
The gravitational constant (G) is approximately 6.674 × 10^-11 N*m^2/kg^2.
Let's substitute these values into the formula to calculate the gravitational force:
F = 6.674 × 10^-11 N*m^2/kg^2 * (5kg * 8kg) / (2m)^2
F = 6.674 × 10^-11 N*m^2/kg^2 * 40kg^2 / 4m^2
F = 6.674 × 10^-11 N * 40 / 4
F = 6.674 × 10^-11 N * 10
F = 6.674 × 10^-10 N
Therefore, the gravitational force between the two balls is approximately 6.674 × 10^-10 N.