Respuesta :
The force of gravity between the objects at the same distance is D) 400N (400N = 100 N x 2 x 2). This problem can be solved using the force of gravity formula which is described as Force = G x M x m / r^2. In this formula, Force is the force of gravity, G is the constant gravity, M is the mass of the object, m is the mass of another object, and r is the distance between them.
The gravitational force between two objects is given by the force acted by one mass on another in any gravitational field. The gravitational force between the object according to the second condition will be 400 N.
What is gravitational force?
The gravitational force between two objects is given by the force acted by one mass on another in any gravitational field.
The gravitational force between two objects is given by
[tex]F = \frac{G m_1m_2}{r^{2} }[/tex]
Where
[tex]\rm{m_1 = mass of object 1}\\\\\rm{m_2 = mass of object 2}\\\\[/tex]
F = Gravitational force
r = distance between the object
Case 1
[tex]F_1 = \frac{G m_1m_2}{r^{2} }[/tex]
Case 2
[tex]m_1 = 2 m_1\\\\m_2 = 2 m_2\\\\[/tex]
[tex]100 = \frac{G m_1m_2}{r^{2} }[/tex]-------------------- 1
[tex]F_2 = \frac{G\times 2m_1\times 2m_2}{r^{2} }[/tex]---------------2
Divide equation 1 by 2 to get
[tex]\frac{100}{F_2} = \frac{1}{4}[/tex]
[tex]F_2[/tex]= 400 N.
Hence the gravitational force between the object according to the second condition will be 400 N.
To learn more about the gravitational force refer to the link;
https://brainly.com/question/24783651
