grav force proportional to m1xm2
m1xm2 => 2m1x2m2 => 4m1m2.
100N=>400N
Answer: The gravitational force when the masses are doubled is 400 N
Explanation:
To calculate the gravitational forces, we use the equation:
[tex]F=\frac{Gm_1m_2}{r^2}[/tex]
Where,
F = gravitational force
G = Universal gravitational constant
[tex]m_1[/tex] = mass of object 1
[tex]m_2[/tex] = mass of object 2
r = distance between the objects
When F = 100 N, the equation becomes:
[tex]F_1=\frac{Gm_1m_2}{r^2}=100N[/tex]
When the masses of bot the objects are doubles, the equation becomes:
[tex]F_2=\frac{G(2m_1)(2m_2)}{r^2}=4\frac{Gm_1m_2}{r^2}=4\times (100)=400N[/tex]
Hence, the gravitational force when the masses are doubled is 400 N
