### Module Details

 The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module.
 Title Dynamics and Relativity Code PHYS101 Coordinator Professor TG Shears Physics Tara.Shears@liverpool.ac.uk Year CATS Level Semester CATS Value Session 2021-22 Level 4 FHEQ First Semester 15

### Aims

To introduce the fundamental concepts and principles of classical mechanics at an elementary level. To introduce the postulates of Special Relativity and apply the Lorentz transformations.

### Learning Outcomes

(LO1) Demonstrate a basic knowledge of the laws of classical mechanics and Special Relativity.

(LO2) Understand physical quantities with magnitudes, directions (where applicable), units and uncertainties.

(LO3) Apply the laws of mechanics to statics, linear motion, motion in a plane, rotational motion, and gravitation.

(LO4) Apply the laws of relativity to linear motion.

(LO5) Develop a knowledge and understanding of the analysis of non-relativistic linear and rotational motion and of relativistic linear motion.

(LO6) Develop a knowledge and understanding of the non-relativistic analysis of orbits and gravity.

(S1) Problem solving skills.

(S2) Analytic skills applied to situations involving mechanical systems.

### Syllabus

Introduction: Force, Newton’s Laws
Centre of Mass, Reference Frames
Resistance of Motion: Friction
Resistance of Motion: Drag
Work, Energy, Power
Momentum: Collisions and Impulse
Rotation: Circular motion
Rotation: Moment of Inertia, Torque
Angular Momentum
Rolling and Precession
Newton’s Law of Gravitation
Satellites, Escape Speed
Kepler’s Laws

Introduction and historical context of special relativity.
Einstein’s solution of the conflict between Newtonian mechanics and constancy of speed of light.
The Lorentz transformations.
Concept of spacetime and Lorentz invariance.
Relativistic energy and momentum.

### Teaching and Learning Strategies

Teaching Method 1 - Lectures delivered online
Description: Lecture to entire cohort on all course topics over VLE
Attendance Recorded: Yes
Notes: = 2 x 1h lectures/week

Teaching Method 2 - Classwork
Description: Problem solving classes, to learn together with guidance from staff and receive feedback.
Attendance Recorded: Yes
Notes: = 12 x 1-hour workshops

### Teaching Schedule

 Lectures Seminars Tutorials Lab Practicals Fieldwork Placement Other TOTAL Study Hours 12 24 36 Timetable (if known) Private Study 114 TOTAL HOURS 150

### Assessment

EXAM Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
Examination There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When) :Semester 1  150 minutes    70
CONTINUOUS Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
5 problem sets covering special relativity Standard UoL penalty applies for late submission. This is an anonymous assessment.  2hours x5 (total 10     15
5 Problem Sets covering Newtonian Mechanics Standard UoL penalty applies for late submission. This is not an anonymous assessment. Assessment Schedule (When) :1  2hours x5 (10 hours     15