Hello!
Recall the equation for gravitational force:
[tex]F_g = \frac{Gm_1m_2}{r^2}[/tex]
Fg = Force of gravity (N)
G = Gravitational constant
m1, m2 = masses of objects (kg)
r = distance between the objects' center of masses (m)
There is a DIRECT relationship between mass and gravitational force.
We are given:
[tex]F_g = 100N[/tex]
If we were to double one mass and triple another, according to the equation:
[tex]F'_g = \frac{G(2m_1)(3m_2)}{r^2} = 6(\frac{G(m_1)(m_2)}{r^2}) = 6F_g[/tex]
Thus:
[tex]6 * F_g = 6 * 100 = \boxed{600N}[/tex]
