2 objects are on parallel paths at speed approaching c, do they move closer together with speed increase?

Question

Two objects are moving on parallel paths, close together, at the same speed, a speed approaching c.
As the speed of the objects increases, would they move closer together?

I'm assuming that the mass of the objects increases due to speed increase, therefore the gravitational force between the objects should incease too.
I figure the objects on parallel paths would be attracted to each other.
Not a physics homework problem, just curious about others opinions.

I should have said that the objects are traveling in a vacuum, so does Bernoulli's theorem apply?

Also, can it be said that the objects are still following straight paths, but in curved space time?

Answer 1

You're right. As their velocities increase, they gain mass and are gravitationally pulled toward each other. BUT, at that point their paths are no longer parallel.

Answer 2

Don't mix up dude relativity is a different thing than gravity....If it was the case as u told then think why u and ur friend do not attract each other?Both of u have masses ....The reason is that the gravitational pull of earth is so huge that the mutual interaction between u and ur friend is almost null comparatively.Speaking of growing masses objects do grow their masses at that speed but will they closen up is difficult to predict...Bernoulli's theorem do say that objects move sideways but is silent about there direction ..i mean the objects could move away from themselves if a vacuum is created on their opposite sides...and there are tonnes of more analysis to be done to find out whether they actually close in.....The objects may develop electric current if they are conductors from earth's magnetic field..I guess I'll leave that to u to decide what happens at last....

Answer 3

Same answer probably..when the speed increses over a certain value, the objects gain mass and they are atrracted toward each other due to gravitation.
Starting from that point the objects will no longer move on the initiall parallel path.

Answer 4

First of all we have to understand that our perception of time will always be the same, a minute will always "feel" like a minute even though our speed is close to the speed of light.We won't feel that we are living longer if we go faster. What will change, is how the observers are perceiving us. If they could watch us traveling at very high speeds, our movements will slow down more and more the closer we get to the speed of light. If we could go back and compare our clocks, there will be a noticeable difference in them. The time slows down for the observer that has been under acceleration forces, not the one that has stay in an inertial reference. Time also slows down under gravitational fields. We must understand that gravitational forces are the same as acceleration forces. All this that sounds so weird, is explained in a simple way in many books about relativity.

Answer 5

yes,they do move close. it is due to bernoulli's principle which states that if two bodies moving at high speeds parallel to each other ,then there is a pressure difference which tends to attract both of them.

Answer 6

u have done it right.but if the gravitational force increases then the path will no longer be parallel