What is the gravitational force of attraction that exists between two spheres of mass 2.0 kilograms each, separated by 2.0 meters from center to center?
The gravitational force of attraction between two objects can be calculated using Newton's law of universal gravitation:
F = (G * m1 * m2) / r^2
where F is the gravitational force, G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2), m1 and m2 are the masses of the two spheres, and r is the distance between their centers.
In this case, the mass of each sphere is 2.0 kilograms, and the distance between their centers is 2.0 meters. Plugging these values into the formula, we have:
F = (6.67430 × 10^-11 * 2.0 * 2.0) / (2.0^2)
F = 26.69720 × 10^-11 / 4.0
Calculating the value, we get:
F = 6.67430 × 10^-11 N
Therefore, the gravitational force of attraction between the two spheres is approximately 6.67430 × 10^-11 Newtons.