Answer :
Final answer:
The distance between the centers of the two spheres, each with a mass of 2.00kg and a gravitational force of 8.35x10^-10 N between them, can be calculated by rearranging Newton's Universal Law of Gravitation, resulting in r = sqrt[(6.67 × 10^-11 Nm²/kg² * 2.00kg * 2.00kg) / 8.35x10^-10 N].
Explanation:
The subject of this question is related to Physics, specifically focusing on Newton's universal law of gravitation. According to this law, the gravitational force between two objects can be calculated by the equation
F = G * (m1 * m2) / r^2
, where F is the force of gravity, G is the gravitational constant (6.67 × 10^-11 Nm²/kg²), m1 and m2 are the masses of the objects, and r is the distance between them. Given that each sphere has a mass of 2.00 kg and the gravitational force between them is 8.35x10^-10 N, we can rearrange the equation to solve for r:
r = sqrt[(G * m1 * m2) / F]
. Substituting the known values: r = sqrt[(6.67 × 10^-11 Nm²/kg² * 2.00kg * 2.00kg) / 8.35x10^-10 N]. Compute that, and you'll find the distance between the two spheres.
Learn more about Newton's Universal Law of Gravitation here:
https://brainly.com/question/858421
#SPJ11
