Theory of time dilation!

One of my sirs pulled the class and said, you can go to the future if you want. I asked how? He said, "By prolonging tomorrow." Since then, a different attraction to this relativity.

I got up in college and realized what this relativity is. This relativity has the power to turn heads. His Excellency Einstein was one thing. Newton's words were completely blown away !!! With these long explanations and calculations, I was able to defeat Newton, and I, even an animal, went out of the world at full speed.

So a little effort to get out of calculus and come to earth, let's see if it works. First of all, let's find out what is the length of this period ???

A: First of all, let's say you have a watch. You are standing on the earth with that watch. Now a child is playing with the ball in front of you, he is throwing the ball upwards. After exactly 20 seconds have passed on your watch, the ball is returning to the boy's hand.

Let's say the baby and you are taken in a spaceship or on a high-speed train. When he throws the ball upwards, the ball returns to the boy's hand exactly 20 seconds after your watch. Because the baby and you are still moving at the same time, that is, in relation to each other.

This time only the boy was put on a train or a spacecraft. And you are standing still in your previous place. This time when the boy throws the ball at the same height, you will notice that the ball has not returned to the boy's hand even after 20 seconds on your watch. It will take a little more than 20 seconds for the ball to come back ... Now why are you talking? Time is equal in all cases ???

This is why Einstein said that time, length, mass are relative. That is, depending on the high velocity and the different fields where these are immutable in Newtonian physics. This is why relativity arises to explain why it takes so long. Now let's see how it will take more time.

First let's look at Figure 1. Suppose you are sitting at a train station, there is a stationary train in front of you and the red ball is like a light particle, jumping in the middle of the train like a ball. Once going to point A then going to point B. Since it is a light particle, its velocity is C = 3x10 ^ 8 ms -1. And it takes time to go from point A to point B. Then the distance of AB is S = ct (distance = velocity x time).

Now let's come to Figure 2. You are still sitting at the train station. Suddenly when the ball hit the lower part of the train the train started moving at V speed when the ball hit the bottom and touched the upper part then the train stopped. The time that has passed by then is t ’. And the points where we came to a stop on the way are A's and B's ...

Now that you have seen the incident sitting outside the train, you will think that the ball has gone from A to B instead of going from A to B, so you will think t 'instead of time t.

Then because you see it from outside the train,

The distance traveled by the ball is AB '= c t' (distance traveled by the ball = velocity of the ball C x time t ')

Train distance traveled, AA '= v t'

Now if someone is sitting inside the train then the train will not seem to be moving for him and the points A and B will not change his position i.e. AB = A’B ’for him. So for him the speed, time, distance traveled by the ball will remain the same as before (Fig. 1).

Then because someone from inside the train saw the incident,

The distance traveled by the ball, AB = ct

Now, adding three points A, B ’, A’ gives a right triangle. And we have learned since childhood that the hypotenuse 2 = land 2 + perpendicular ^ 2. Then available with this formula,

(ct ') 2 = (vt') 2 + (ct) 2

=> c ^ 2. t ’^ 2 = (v ^ 2. t’ ^ 2) + (c ^ 2. t ^ 2)

=> t ’^ 2 = {(v / c) ^ 2. t ’^ 2} + t ^ 2

=> t ’^ 2 - {(v / c) ^ 2. t ’^ 2} = t ^ 2

=> t ’^ 2 (1 - v ^ 2 / c ^ 2) = t ^ 2

=> t ’^ 2 = t ^ 2 / {1- (v ^ 2 / c ^ 2)

=> t '= t / root 1 - (v ^ 2 / c ^ 2)

Here,

t ’= time determined from outside the train i.e. time of dynamic event determined by the observer

t = the time of the same event as determined from inside the train, i.e. the time of the stable event as determined by the observer.

v = speed of the train or the speed of change of location of the event.

c = speed of light

Now, if we put the speed of the train in that equation, we can see that t 'is always greater than t ... This means that the duration of an event occurring in a dynamic state is longer than the period when the same event occurs in a stationary state. And in the first example given for this reason, the ball needed more than 20 seconds while in motion.

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