Problem 2.27: Determine the velocity for which the discrepancy between the classical expression for the kinetic energy and the true expression from relativity differ by 0.01%; in other words, determine the maximum velocity for which we can use the classical expression for the kinetic energy and trust our results to within 0.01% accuracy.

Problem 2.27: Determine the velocity for which the discrepancy between the classical expression for the kinetic energy and the true expression from relativity differ by 0.01%; in other words, determine the maximum velocity for which we can use the classical expression for the kinetic energy and trust our results to within 0.01% accuracy.