Imagine two protons traveling past each other at a distance d, with relative speed 0.9c. Compared with two stationary protons a distance d apart, the gravitational force between those two protons when at their closest will be

Respuesta :

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.