The table gives the total energy and the rest energy for threeobjects in terms o

Question

The table gives the total energy and the rest energy for threeobjects in terms of an energy increment . For each object,determine the speed as a mutiple of the speed c of light in avacuum. Object A: total energy (E) = 2.00; rest energy(Eo) = Object B: total energy (E) = 3.00; rest energy(Eo) = Object C: total energy (E) = 3.00; rest energy(Eo) = 2.00 The table gives the total energy and the rest energy for threeobjects in terms of an energy increment . For each object,determine the speed as a mutiple of the speed c of light in avacuum. Object A: total energy (E) = 2.00; rest energy(Eo) = Object B: total energy (E) = 3.00; rest energy(Eo) = Object C: total energy (E) = 3.00; rest energy(Eo) = 2.00

Explanation / Answer

total energy E = mc2/[1 - (v/c)2] rest energy E0 = mc2 [1 - (v/c)2] = E0/E 1 - (v/c)2 = (E0/E)2 v = c[1 - (E0/E)2] A: v = c[1 - (1/2)2] = (3/2)c = 0.866c B: v = c[1 - (1/3)2] = (8/3)c = 0.943c C: v = c[1 - (2/3)2] = (5/3)c = 0.745c

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