Suppose the gravitational force between two massive spheres is 8.1 N when the spheres are 2 meters apart...?
If the distance between the spheres is increased to 6 meters , what is the force between them?
- D gLv 77 months ago
its simple math
Fg = G *m1*m2/r^2
if at when r = R
Fg = 8.1 as the question states
8.1 = G*m1*m2/R^2
where R = 2 meters
if we change r to 6 m we can do a math trick
6 m = 3* 2m = 3*R
newFg = G m1 *m2/ (3*R)^2
newFg = (1/3^2)(G*m1*m2/(R^2))
WE SEE the formula for Fg in the rearranged formula
newFg = (1/9) Fg
so we know that when we triple the distance we 1/9 the force