Answer to Question #276612 in Physics for Hutchii

Question

How far apart are the centers of two objects with masses of 4100 kg and 6500 kg. The graviational attraction between them is 86 N.

Answer 1

The gravity force (regardless of the object) is given as follows:

$$F = G\dfrac{m_1m_2}{r^2}$$

where $G = 6.8 × 10^{-11} m^3 kg^{-1} c^{-2}$, $m_1 = 4100kg, m_2 = 6500kg$, $r$ is the distance between the centers (assuming the objects have spherical shape). Expressing $r$ and substituting $F = 86N$, obtain:

$$r = \sqrt{\dfrac{Gm_1m_2}{F}} = \sqrt{\dfrac{6.8 × 10^{-11} \cdot 4100\cdot 6500}{86}} \approx 4.6\times 10^3m$$

Answer. 4600 km.