Question

Gravitational Attraction

1. The centers of two 11.80 kg spheres are separated by 0.09 m. What is their gravitational attraction?

2. What is the ratio of this attraction to the weight of one of the spheres (at the surface of the Earth)?

Please answer both, I'd be greatful.
Thank you

Answer 1

the gravitational constant
G =6.67•10⁻¹¹ N•m²/kg²,

F =G•m₁•m₂/R²= G•m² /R²

F/W=F/mg = G•m² /R²mg = G•m /R²g.

mg= G•m•M/R²=>
g= G•M/R² .

F/W= G•m•R² /R²•G•M=m/M