Jalesa asked in Science & MathematicsPhysics · 7 months ago

# 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?

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Lv 7
7 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