Question

A bowling ball (mass = 7.2 kg, radius = 0.10 m) and a billiard

Answer 1

Answer:

Maximum gravitational Force: $F_{gmax} = 1,026*10^{-08} N$

Explanation:

The maximum gravitational force is achieved when the center of gravity are the closer they can be. For the spheres the center of gravity is at the center of it, so the closer this two centers of gravity can be is:

bowling ball radius + billiard ball radius = 0,128 m

The general equation for the magnitude of gravitational force is:

$F_{gmax} = G \frac{M*m}{r_{min}^{2} }$

Solving for:

$G = 6,67*10^{-11} \frac{Nm^{2}}{kg^{2}}$

$M = 7,2 kg$

$m = 0,35 kg$

$r_{min} = 0,128 m$

The result is:

$F_{gmax} = 1,026*10^{-08} N$