[PHYSIC 181] Comprehensive Fall guide including any lecture notes, textbook notes and exam guides.find more resources at oneclass.com
Physics 181 ÃÂÃÂ¢ÃÂÃÂÃÂÃÂ Spring 2016 ÃÂÃÂ¢ÃÂÃÂÃÂÃÂ Two-Dimensional Momentum 1
Conservation of Two-Dimensional Momentum
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, ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ ÃÂÃÂ¢ÃÂÃÂÃÂÃÂ¯ the same as the momentum after, ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¢ÃÂÃÂÃÂÃÂ¯ ? 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.
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 ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½, a reaction lasting time ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½, or a
room having temperature ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½. 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 ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½, or as characters with arrows on top of them, like vector ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½ÃÂÃÂ¯ÃÂÃÂ¿ÃÂÃÂ½.
Vectors are represented as arrows in diagrams.
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