Answer:
1/9
Explanation:
Newton’s Law of Universal Gravitation
Objects with mass feel an attractive force that is proportional to their masses and inversely proportional to the square of the distance.
F = GMm/r²
where
F
- the gravitatioal force in Newtons,
M and m -two masses in kilograms
r - the separation in meters.
G - the gravitational constant (6.674*10
⁻¹¹ N
(m/kg)
²
)
Because of the magnitude of G , gravitational force is very small unless large masses are involved.
So according to above equation , when the masses are not changing , force is inversely propotional to the square of distance
F1 ∝ 1/r² ---------------(1)
F2 ∝ 1(3r)²
F2 ∝ 1/9r²--------------(2)
(2)/(1)
[tex]\frac{F_2}{F_1} =\frac{1}{9}\\ F_2 =\frac{F_1}{9}[/tex]
From their you get as the distance tripled, Force reduce by a factor of 9(3³)
for example , assume the distance get doubled ,Force reduce by a factor of 4 (2²)
