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Question

What is the relation between velocity and mass

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Solution

To answer your question I propose a thought experiment.

If you lie down on your bed and relax, you would think that your velocity is 0. That would be right. As you then go to your table to do your physics homework, you observe how your legs move, providing you for a moment with a non-zero velocity. Then you sit again, and your velocity is again 0.

As you flip through the pages of your book, you find a problem regarding velocity and relativity: intrigued, you read it and write down that Earth has an orbital velocity of “v” (I can’t be bothered to find the value, sorry). You then retreat on your bed again, thinking about velocity.

“If the Earth is moving, then I am moving”, “But if I am moving, my velocity is not 0 when I lie down”.

My friend, you just discovered relativity: velocity is relative to something, always, no matter how you think of it, if you observe 10 bodies, their velocities are different if observed from other places.

So, velocity is relative and can’t be calculated in an absolute manner, meaning that mass is not in a relationship with it (they broke up a while back, give them space).

I can say though, that, if you provide a constant force, velocity (relative to something) increases faster if the mass is less. But this is just acceleration, velocity’s old pal.

Acceleration is one of the reasons why Einstein had to come up with General Relativity: Special Relativity described only the relativity of velocity/speed.


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