## Lecture 12: Relativistic Momentum and Energy

October 3, 2017

• Study: Exs 1, 2, 3, 4; Table 4.1

### Objectives

• (Continuing objective) Relate the concepts of relativity, momentum, and oscillations to “everyday” situations and discuss various applications of the concepts to practical problems in various fields of science, medicine and engineering.
• Use the velocity transformations to relate velocities as measured in different references frames.
• Describe the modifications in the definitions of momentum and energy needed to maintain invariance of the conservation laws.
• Given any two of p, E, u, K, and m for a particle, determine any of the others.
• Use the invariance of a particle's mass to relate the particle's energy and momentum in one reference frame to those measured from a different frame.
• Specialize any of the equations relating p, E, u, K, and m to zero-mass particles.

### Homework

• Wednesday's Assigned Problems: A35; Supp CH 4: 2, 3, 6, 7, 10, 14, 20, 16, 17, 18

Notes: We suggest trying Supp CH 4 #20 after #14.

• Hand-In Problems due THURSDAY, October 12, 9:30 a.m.: A36; Supp CH 4: 4, 9, 11, 13, 15; Supp CH 5: 3, 8, 9, 12

### Videos of example problems

To see the problem statement, click on the link below. To play the video example, click on the underlined words "Video Demonstration" near the top of the page with the problem statement.

### Pre-Class Entertainment

• I Will Survive, by Cake
• It Won't Be Long, by the Beatles
• I Saw Her Standing There, by the Beatles
• I'm a Loser, by the Beatles
• I'm a Little Airplane, by Jonathan Richman and the Modern Lovers
• I Ran, by Flock of Seagulls
• It's Alright For You, by The Police