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# PHYSIC 181- Midterm Exam Guide - Comprehensive Notes for the exam ( 143 pages long!)

143 Pages
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School
University of Massachusetts - Boston
Department
Physics
Course
PHYSIC 181
Professor
Yelleswarapu Chandra
Semester
Fall

Description
[PHYSIC 181] Comprehensive Fall guide including any lecture notes, textbook notes and exam guides.find more resources at oneclass.com Physics 181 ÃÂÃÂ¢ÃÂÃÂÃÂÃÂ Spring 2016 ÃÂÃÂ¢ÃÂÃÂÃÂÃÂ Two-Dimensional Momentum 1 Conservation of Two-Dimensional Momentum Introduction This experiment will analyze a collision of two pucks on an air track. As with the Ballistic Pendulum, our main goal is to see if momentum is conserved before and after a collision. Is momentum before, ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ ÃÂÃÂ¢ÃÂÃÂÃÂÃÂ¯ the same as the momentum after, ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¢ÃÂÃÂÃÂÃÂ¯ ? However, the previous experiment provided an inelastic collision and considered one-dimensional momentum, and this experiment will provide an elastic collision and will consider two-dimensional momentum. Thus we have a valuable second goal. We will need to be able to handle two-dimensional vector arithmetic. Theory Vectors Many physical quantities can be described with just a number often treating as being independent of any particular spatial orientation; these are called a scalars. Scalars are represented mathematically with plain, not bolded characters. Scalars do not have any special diagraming standards outside of usually just planting a character representing a scalar in a spot convenient for identification purposes. Such as an object having mass ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½, a reaction lasting time ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½, or a room having temperature ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½. Other quantities are described with numbers that depend on some sense of spatial direction; these are called vectors. Vectors are often represented mathematically as bold characters, like vector ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½, or as characters with arrows on top of them, like vector ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½. Vectors are represented as arrows in diagrams. find more resources at oneclass.com
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