Answer:
The gravitational force between the protons will be larger.
Explanation:
Given:
Two protons are separated by a distance [tex]d[/tex].
The protons has a velocity, [tex]v = 0.9c[/tex].
The relation of the mass of the moving protons with its rest mass is given by
[tex]m = \dfrac{m_{0}}{\sqrt{1 - \dfrac{v^{2}}{c^{2}}}}[/tex]
where, [tex]m_{0}[/tex] is the rest mass of the protons.
Substitute [tex]0.9c[/tex] for [tex]v[/tex] in the above equation, we have
[tex]m = 2.29m_{0}[/tex]
As the masses of the moving protons are greater than that of its rest mass the gavitational force will be larger.