Table 1 shows data of speed vvv and kinetic energy EkE_kEk for electrons from a high-energy physics experiment.
Table 1
| v/108textms−1v / 10^{8}\\text{ m s}^{-1}v/108textms−1 | Ek/textMeVE_k / \\text{MeV}Ek/textMeV |
|---|---|
| 2.552.552.55 | 0.450.450.45 |
| 2.702.702.70 | 0.650.650.65 |
| 2.852.852.85 | 1.201.201.20 |
| 2.952.952.95 | 2.502.502.50 |
| 2.9852.9852.985 | 5.505.505.50 |
Classical mechanics predicts that Ekproptov2E_k \\propto v^2Ekproptov2.
Deduce whether the data in Table 1 are consistent with this prediction.
Discuss how Einstein's theory of special relativity explains the data in Table 1.
Calculate, in J, the kinetic energy of an electron travelling at a speed of 0.93c0.93c0.93c.
(Take the rest mass of an electron as me=9.11times10−31textkgm_e = 9.11 \\times 10^{-31}\\text{ kg}me=9.11times10−31textkg and the speed of light in a vacuum as c=3.00times108textms−1c = 3.00 \\times 10^8\\text{ m s}^{-1}c=3.00times108textms−1.)