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27 Nov 2019

a) A 1000 kg car travels at 8 m/s. Use the binomial expansion toexpress the ratio between its relativistic momentum and mu (where uis a vector) in the form (1+δ) where δ is a small number. Is δpositive of negative?

b) A proton with mass 1.67 x 10-27 kg has a speed u =0.8c. By what factor does its relativistic momentum differ frommu(where u is vector)?

c) A particle with one-sixth the mass of a proton collides withthe proton from part b and the result is two new identicalparticles moving at the same speed in opposite directions. What wasthe speed of the original particle?

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