Relativistic Momentum
(a) Find the momentum of a \(1.00 \times 10^{9}-\mathrm{kg}\) asteroid heading towards Earth at 30.0 km/s. (b) Find the ratio of this momentum to the classical momentum. (Hint: Use the approximation that \(\gamma=1+(1 / 2) v^{2} / c^{2}\) at low velocities.)
Text Transcription:
1.00 times 10^9 kg
gamma=1+(1/2)v^2/c^2
Week 3 Chapter 26 cont. I. 26.5 The Refraction of Light Ray of light enters a medium where its speed decreases = it is bent toward the normal Ray of light enters a medium where its speed increases = it is bent away from the normal No change in propagation if there is no change in index of refraction o Greater the change in index of refraction, the greater the change in propagation direction If a ray goes from one medium to another long its normal, it is undeflected, regardless of the index of refraction Refraction can make objects immersed in water appear broken and create mirages o If a light enters a medium of lower index of refraction, it will be bent away from the normal If the angle of incidence is large enough, the angle of refraction is 90 o o At larger incident angles, the light will be totally reflected Snell’s Law o This is how to write the angle of refraction in terms of the index of refraction o N1sinθ1= N s2nθ 2 N is the value corresponding to the medium in which the ray is traveling in Θ refers to the angle at which the ray is traveling in respect to the normal Total internal refraction is when the angle of refraction is 90o o Ex. Binoculars and optical fibers Brew
