Question

Two objects, one with a mass of and the other with a force of 30.0kg experience a gravitational force of attraction of 7.50 * 10^- 8 N how far apart are centers of mass?

Answer 1

Step-by-step explanation:

The formula for this is

`F_g=(Gm_1m_2)/(r^2)` where F is the gravitational force, G is the gravitational constant, m1 is the mass of one object and m2 is the mass of the other object. We are looking for r, the distance between the centers of their masses.

Filling in:

`7.5*10^(-8)=(6.67*10^(-11)(90.0)(30.0))/(r^2)` and moving things around to solve for r:

`r=\sqrt{(6.67*10^(-11)(90.0)(30.0))/(7.5*10^(-8)) }` Doing all that and rounding to the 3 sig fig's you need gives us a distance of 1.55 m