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2 Relativistic Kinetic Energy(based on Taylor 15.58)(a) What is a particle's speed (as a fraction of the speed of light) if its kinetic energy T is equal to its rest energy? (b) Sensemaking: Check Dimensions Show that the dimensions of your answer to part (a) are appropriate and balanceacross the equals sign. (c) What a particle's speed (as a fraction of the speed of light) if its relativistic energy E is equal to n times its restenergy? (d) Sensemaking: Examine the behavior of functions Plot 3 as a function of n. Does this functional behavior makeconceptual sense? Explain.

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