Show that Equation 2 31 can be written E mc 2 (1 p 2 m 2 c 2 ) 1 2 and use the binomial expansion to show that, when pc is much less than mc 2 , E mc 2 p 2 2m

Question: Show that Equation 2-31 can be written E = mc 2 (1 + p 2 /m 2 c 2 ) 1/2 and use the binomial

Show that Equation 2-31 can be written E = mc²(1 + p²/m²c²)^1/2 and use the binomial expansion to show that, when pc is much less than mc², E ≈ mc² + p² /2m.

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