Use Eq. 14.11, (gamma-1 approx 0.5left(v^{2} / c_{0}^{2} ight)), to show that Eq. 14.51 reduces to the

Use Eq. 14.11, \(\gamma-1 \approx 0.5\left(v^{2} / c_{0}^{2}\right)\), to show that Eq. 14.51 reduces to the familiar \(K=\frac{1}{2} m v^{2}\) at nonrelativistic speeds \(\left(v \ll c_{0}\right)\).

Equation

Transcribed Image Text:

y-1= (within two significant digits when v <0.1co). (14.11)