Activity 3: What is your time?"The faster you move in space the slower you move in time"Suppose a space traveller in a space ship passed by you in awhooping speed, almost the speed of light.The space traveller, in his clock, measured a time elapse of onesecond.fast!Will you measure the same elapsed time? Why? Why not?You might think that the time measured by the spacemanand your measured time should not matter. However, the timefor each frame of reference really matters. One of theconsequences of Einstein's postulates of Special Theory ofrelativity is stretching of time. If we agreed that the laws ofPhysics are the same for all observers for inertial reference frames and that the speed oflight is constant, then it would only be possible if time is not absolute. It means thatobservers at different frames will observe and experience time in different ways. Time then issomething personal for every observer. Very odd indeed! We call this as time dilation. Howmuch time stretches can be derived using simple geometry.Here is the equation:This equation is not as scary as it appears. You just have to remember what each letterrepresents.to = proper time (In the frame of reference moving with the clock)t = relative time (Another frame of reference not with the moving clock)v = speed of the clock (Relative to the outside observer)speed of light (This is constant. You can use 3.0 x10® ")c =

Time dilation is a phenomenon in a Special theory of relativity, which says that time will be slower…

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I also need help in part a,b and c. part b) In the earth frame, how time elapses while Alice completes one interval on the straightaway? part c) What does time Alice's fitbit read when she crosses the finish line?
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Can you answer question 2 part b?
The motion of a cart can be represented by x(t)=(-2.5m/s)t-10.0m. At what time does this cart cross the origin? a)it crosses the origin t=4s after we start observing it b)It crosses the origin t=0s after we start observing it c)If it were moving the same way before we started observing it then it crossed the origin 4 seconds before we started counting.
Part I. We will leam in this class that the distance from the Earth to the Sun is approximately 1AU = 150,000,000 kilometers. a. Convert this number to meters (1 kilometer = 10° meters) and express it using scientific notation: 150000000000 meters How else might you express this number? (Millions, billions, etc. ?) b. A car on the highway drives at 55 mph = 25 meters per second. How long would it take to drive to the Sun? (Assuming you have a car that works in outer space.) Use the equation distance = velocity x time, or time = distance / velocity. Time = distance/velocity = , seconds (don't forget to use scientific notation.) How many days?. _days How many years?. years Does the answer surprise you?
Topic: Theory of relativity Instructions: Answer the problem. Show complete solutions. View Image.
Define the concepts of Time Dilation and Length Contraction. Use equations and/or examples to support your answer.
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AE 5m XI -5 m 5 m FIG. 2.10 A spacetime diagram showing the worldlines of various particles. P2.1 The spacetime diagram in figure 2.10 shows the worldlines of various particles moving along the x axis in space. Note that (as is conventional in spacetime dia- grams), I have calibrated the r and x axes in this diagram. to have the same scales in the same units: this ensures that the worldline of a photon (which has a speed of 1) makes a 45° angle with each axis. For each labeled world- line, describe (1) where the particle is at time t = 0, (2) about how fast and in what direction (in the +x direction or the-x direction) the particle is moving at that time, and (3) whether the particle's speed subsequently increases or decreases as time passes. Also identify the one worldline that is physically impossible, and explain why.