1. In Einstein's theory of special relativity the kinetic energy of an object E moving with velocity v is E = mc²(y – 1), 1 where y=- where c is the speed of light (a constant). Show using Maclaurin expansion 1 1 of that E = mv² (the known formula for kinetic energy with concerning everyday objects) when v « c.

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ISBN:9780470458365
Author:Erwin Kreyszig
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1. In Einstein's theory of special relativity the kinetic energy of an object E
moving with velocity v is
E = mc²(y – 1),
1
where y=
v2
1
where c is the speed of light (a constant). Show using Maclaurin expansion
1
of
that E =
mu? (the known formula for kinetic energy with
v²
concerning everyday objects) when v < c.
Transcribed Image Text:1. In Einstein's theory of special relativity the kinetic energy of an object E moving with velocity v is E = mc²(y – 1), 1 where y= v2 1 where c is the speed of light (a constant). Show using Maclaurin expansion 1 of that E = mu? (the known formula for kinetic energy with v² concerning everyday objects) when v < c.
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