Question

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

ball (mass = 0.35 kg, radius = 0.028 m) may each be treated
asuniform spheres. What is the magnitude of the maximum
gravitationalforce that each can exert on the other?

Answer 1

Maximum gravitational Force:
`F_(gmax) = 1,026*10^(-08) N`

Step-by-step 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 (M*m)/(r_(min)^(2) )`

Solving for:

`G = 6,67*10^(-11)  (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`