Question

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

Answer 1

The gravitational force between the protons will be larger.

Step-by-step explanation:

Given:

Two protons are separated by a distance
`d`.

The protons has a velocity,
`v = 0.9c`.

The relation of the mass of the moving protons with its rest mass is given by

`m = \frac{m_(0)}{\sqrt{1 - (v^(2))/(c^(2))}}`

where,
`m_(0)` is the rest mass of the protons.

Substitute
`0.9c` for
`v` in the above equation, we have

`m = 2.29m_(0)`

As the masses of the moving protons are greater than that of its rest mass the gavitational force will be larger.