Answer:
F/9
Explanation:
There's Newton formula for attraction force between 2 objects with mass and a distance between them:
[tex]F_G = G\frac{M_1M_2}{d^2}[/tex]
where G is the gravitational constant. [tex]M_1,M_2[/tex] are the masses of the 2 objects. and d is the distance between them.
Consider that the distance variable is squared and in the denominator of the formula. So in the case where the distance is tripled to 3d, the masses stay the same, the gravitational force would be reduced by [tex]3^2 = 9[/tex] times
So the new force would be F/9
Answer:
F/9
Explanation:
F = GmM/ d² where F is the force due to gravity, F₂ = is the force due to gravity when d in meters, the distance from the center of the earth is 3d and G is gravitional constant in Nm²/kg²
F₂ = GmM / (3d)² = GmM/ 9d²
make d² subject of the formula in the first formula
d² = GmM/ F
substitute this into the second formula
F₂ = GmM / 9( GmM / F) = GmM × (F /9GmM)
cancel GmM
F₂ = F/9
