7. Assuming that E = (T + moc2) = (pc)? + (moc) (a) Derive the following...

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7. Assuming that E = (T + moc2)² = (pc)? + (moc²)² (a) Derive the following relationships (i) T = cmc + p- +2 mo c²T (i) р %3 E² 2 -p²c? (iii) m, 90 A Primer of Special Relativity (b) Let B = = sin0. Show that (i) E = moc sece (ii) T = moc² (sece - 1) (iii) p’c² = m e* (sec²e – 1) %3D 8. Show that T = mov2. 1+T (1+T) mo 7. Assuming that E = (T + moc2)² = (pc)? + (moc²)² (a) Derive the following relationships (i) T = cmc + p- +2 mo c²T (i) р %3 E² 2 -p²c? (iii) m, 90 A Primer of Special Relativity (b) Let B = = sin0. Show that (i) E = moc sece (ii) T = moc² (sece - 1) (iii) p’c² = m e* (sec²e – 1) %3D 8. Show that T = mov2. 1+T (1+T) mo

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