Special Relativity
She will perceive her own time, length and mass to be normal, and measure your time to be running slowly, your length contracted and your mass greater than at rest.
If you see a friend moving by you at a speed close to that of light, you'll say that her time is running slowly, her length is contracted, and her mass is greater than her rest mass. How will she perceive her own time, length, and mass? Why? How will she perceive your time, length, mass?
The more massive stars make deeper funnels in a rubber sheet. Also the more dense the object is, the deeper the funnel.
In the rubber sheet analogy, why does the curvature of spacetime near a star depend on both the star's mass and its size?
your length's contract and your time runs slower, so the distance to a star is shorter. your perception of time would still be like it was running as usual.
Suppose you could take a trip to a distant star at a speed very close to the speed of light. How does relativity make it possible for you to make this trip in a reasonably short time? What will you find when you return home?
Time runs slower for someone moving at relativistic speeds. That means that light passed a larger distance, meaning that her clock must be ticking slower.
What is time dilation? Explain how and why your measurements of time will differ from those of someone moving by you
The spaceship will look shorter in the direction of motion. length=speed x time Your clock records less time than Jackie's as she passes from one end of your spaceship to the next. So you measure the length of her spaceship to be shorter than she would measure.
length contraction: How will your measurements of the size of a spaceship differ if the spaceship is moving by your compared to when it is at rest in your reference frame?
The mass of an object moving at relativistic speeds is larger. Think of this as the faster an object wants to go, the harder it is for it to go so fast because it has a mass.
mass increase: How does the mass of an object moving by you compare to its rest mass?
