Question

An electron initially at rest in a certain reference frame is given a number of successive speed increases. Each increase takes it from its present speed 95 percent of the way to the speed of light. To what successive kinetic energy increases do the first six speed increases correspond?

ans: 1.13, 5.59, 25.1, 112, 504, 2254.

Answer 1

To tal Eneyy C11 KE= Rest Mass nerggR me c2 me c2 TE RME= me c2 mec2 Me c2 kE Mec 0. Mev ard tor Fiast Ineesing Vi0 t 0.9e

kE О.51) -е мev КЕ Е 0.551) X2.20 25 Meu 11255 Mev V0. 95C V - (0os х0.39+ оr)c ad 0.511MEV КE КE 0.511Mev X 13.1 6.7 20 мev KE,z 0.9 re (0.0025 х 0.3г + 0.9925)с V3 0.9998 45 С ат KEЗ 0.511 Mev Jin (0g9667г) kE3 31.446 Mev

D. 999845 Vs 0. 00012 x O,95 V4 O. 999 99 34 C V4 0-11 44 0 kE4 44.03 Mev 0. 99 9 999 664 C V 645.856 Mev KES O.999999984 C V6 = TKEE kES 2881.63 Mev