In Einsteins theory of special relativity the mass of an object moving with velocity v is where
Question:
In Einstein’s theory of special relativity the mass of an object moving with velocity v is
where m0 is the mass of the object when at rest and c is the speed of light. The kinetic energy of the object is the difference between its total energy and its energy at rest:
(a) Show that when v is very small compared with c, this expression for K agrees with classical Newtonian physics: K = 1/2m0v2
(b) Use Taylor's Inequality to estimate the difference in these expressions for K when |v| ≤ 100 m/s.
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Step by Step Answer:
a Using the expressions given for k and m we get If v is much sma...View the full answer
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