Goodieluver said:
i have asked physics profs at here and at penn state this question
acceleration is dependant on the force exerted and the force thats resisting.
That's what you get for asking a physics professor something. The answer you get is likely to be technically accurate, but may assume or take for granted factors that you aren't informed of. Or the scientist may have needed information that you didn't know he needed in order to give you the answer you were actually seeking.
Very literal-minded creatures, scientists.
😉
What the professor told you is true as far as it goes. Acceleration is dependent on two things: the NET forces acting on an object (such as thrust, gravity, and friction), and the MASS of the object. In mathematical terms,
Acceleration = Force/Mass
Now in a complete vaccume with no outside forces acting on it, if a ship was using say 10% thrust, would it in theory reach light speed because there are no forces acting on it to slow it down other than fuel consumption?
Theoretically, no. As Icycle noted, an object's mass increases as it accelerates. At most speeds humans deal with, this effect is so small that it's almost unmeasurable. But as you approach the speed of light it becomes very significant. Looking at the equation above you can see that a larger mass requires a larger force to maintain the same acceleration. As velocity approaches the speed of light, the object's mass approaches infinity, and therefore the force required to keep it accelerating likewise approaches infinity.
This is why it's not even theoretically possible for any object with mass to reach the speed of light.
But there are other problems with the solar sail. First, you never have a situation in which there are no outside forces acting on an object. Even in the vacuum of space gravity is a consideration. The solar wind pushes objects away from the sun, but the sun's gravity pulls them back, reducing the net acceleration available. In addition, the solar wind itself becomes weaker and weaker as you move away from the sun. If you double your distance from the sun the force of the solar wind is reduced to 1/4 of what it was originally. This means less and less accelerating force as you move out from the earth's orbit.
Solar sails aren't completely useless. Their big advantage is that they allow a spacecraft to be built with no mass (or very little mass) wasted on propulsion systems: fuel, rocket engines, and all the infrastructure needed to feed the one to the other. If you look at the tiny payloads perched atop huge rocket boosters in the space program, you can see that this is no small thing. But they probably won't be the answer to interstellar flight.