Do the relativity equations for time, length, and momentum hold true for everyday speeds? Explain.
According to theory of relativity,time dilation is difference of elapsed time of two events as measured by observers either moving related each other or differently situated from masses. t = t/ 1 v /c 2 Here if v << c,then t= t At low speed compared to speed of light this reduces the classical time.as v approaches c, approaches to infinity. Length contraction is the phenomenon of a decrease in length of an object as measured by an observer who is travelling at any non-zero velocity relative to the object. L = L / 1 v /c 2 0 The length of object is half of the original object.then 1 v /c = 0.5 ,so its relativistic momentum is twice the classical momentum. The relativistic momentum is given by p = mv = mv/ 1 v /c 2 2 At low speeds compared to speed of light. This reduces classical momentum p = mv. As v approaches c, approaches infinity.because of this reason no upper limit to electron.