(a) Find the kinetic energy of a 78.0-kg spacecraft launched out of the solar system with speed 106 km/s by using the classical equation K 5 1 2mu2 . (b) What If? Calculate its kinetic energy using the relativistic equation. (c) Explain the result of comparing the answers of parts (a) and (b).

Monday, March 10, 2014 Time-dependent EM effects We already discussed that electric and magnetic fields are two side of an electromagnetic field. The relation between electric and magnetic fields is most important through time-dependent effects 2 Recall Maxwell’s equations ∇· E = ρ/ 0 ∇· B =0 ∇× B = µ J + µ ∂ E 0 0 0 t ∇× E = −∂ B t changing B-ﬁeld produces E-ﬁeld and vise versa Electromagnetic induction Start with changing B-ﬁeld producing E-ﬁeld 3 Faraday’s Experiments (1)