I am reading ur posts.But X(o) is the distance measured by the body in motion.Why isnt that correct cuz its lesser than x
No it isn't! x0 is the proper length. Look up the definition of proper length. The proper length is the length measure between two events (or stones) in their rest frame and the particle definatly isn't in the rest frame of your two stones because its moving past them!I am reading ur posts.But X(o) is the distance measured by the body in motion.
Anant,Sorry for all the truble to Hoot.Maybe im too young and ive not read much of physics.Ill try to understand myself.And thanks anywayz for all the help provided.
Hey thanks.Actually i am also spellbound by the derivations of things like time dilation and its elegance and simplicity.THanks for the inspiration,but i have my exams coming up.Maybe after them,ill devote more time on this.In my country every1 expects you to learn other things first rather than to be curious and follow ur interests.Thnx nywyz
Heres the text quoted:
Consider a particle moving with a constant speed v in the positive x direction.Classically it has momentum=mv=mDx/Dt
in which Dx is the distance it travels in time Dt.To find a relativistic expression for momentum,we start with the new definition
Here,as before Dx is the distance travelled by a moving particle as viewed by the observer watching that particle.However t(o) is the time required to travel that distance,measured by not the observer watching the moving particle but by an observer moving with the particle.
Using time dilation t/gamma=t(o)
I didnt understand why distance Dx is same for both observers!