MadSci Network: Physics
Query:

Re: speed of light related to mass.

Area: Physics
Posted By: Max Sang, Grad student High Energy Physics
Date: Wed Oct 16 06:55:31 1996
Message ID: 844716828.Ph


Hi Jason,

Good question! I could answer this question with a gentle introduction to Relativity (Groans from the back of the class) or I can give you a short answer. I think I'll do both and, if you're feeling brave, you can read both!

The mass of an object does increase as it gets faster, and theoretically infinite at the speed of light. What this really means is that only massless things like photons (particles of light) actually travel at the speed of light. Massive bodies like electrons or rockets can only ALMOST get there. This is just because the force required to accelerate them closer and closer to light speed increases as they get heavier. So you would need an infinite force to actually reach it.

Why do such effects occur? It's basically because times and distances as we understand them day-to-day behave very strangely if you are moving fast. Imagine someone leaning out of a train window and gently tossing a baseball in the opposite direction, back along the track. He sees the ball move away from him slowly. Someone standing by the railway line will see the ball moving in the same direction as the train, just slightly slower. This dependance of speeds on the motion of whoever is observing them is normal, everyday 'classical' physics. It assumes, sensibly, that time ticks along at the same rate however fast you move, and that space stays the same size and shape. However, the speed of light is actually constant, unvarying, fixed. This has been checked many many times by experiments, and there are also good (but subtle) theoretical reasons for this being true. So, imagine the person on the train now shines a flashlight back the way he or she came. According to our common-sense example with the baseball, the speed of the light should look slower to the person on the ground than it looks to the person in the train. In fact, they both see the same speed. Distances and times ACTUALLY CHANGE. The train is 100m long when it's at rest, and the person on the train measures it to be the same length when it's moving at, say, half the speed of light. To the person by the track, it looks as though it's 87m long. Worse still, it's the same height, so it looks like a weird fat train, and all the people on it have thinner bodies. What's more, the clocks on the train are all running more slowly than the clock on the station platform.

The reason it took so long for people to measure these effects was that the speed of light is so high: seven hundred million miles per hour. Relativity shows us that these strange effects only become noticable at speeds of more than about a hundred million mph. For example, the fastest car available, which can drive at maybe 200mph on a straight racetrack, appears longer to the driver than to you, standing by the track, but the difference is much less than the width of an atom. Likewise, the driver's watch runs slower, but she'd have to drive for six hundred thousand years for her watch to lose just one second on yours. If you wanted to make something go faster and faster, you'd end up slowing ITs version of time more and more relative to yours. In theory, you can make it go so fast that time stops dead, but that would need infinite force. There is no number bigger than infinity, so you can't make time reverse by pushing harder than infinity!

I hope this helps a little, but if you want to know more there are plenty of good books on Relativity which are written for the non-scientist. Many of them will give you a good understanding of the theory, and maybe you'll even be tempted to look at the equations (they're not much more complicated than our 'GCSE' or 'O' level exams here in Britain: just some algebra and a little bit of really simple calculus. And after all, there's no better way of learning maths than using it to tackle something interesting!)

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