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p140w07_ct_02

# p140w07_ct_02 - Copyright Loren M Winters Racquetball...

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Physics 140: Winter 2007 Lecture #2 Jan 9, 2007 Dr. Dave Winn Racquetball Striking a Wall Copyright: Loren M. Winters Mt. Etna Andrew Davidhazy

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Scalars and vectors Scalar: just a size, a magnitude – Price – Mass – Age Combining scalars: simple addition of magnitudes Vector: both a magnitude and a direction – Force Displacement (a trip) – Wind Combining vectors, both magnitude and direction must be considered

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Vectors Things with both magnitudes and directions For equality both magnitude and direction must be equal Multiplying by scalars changes only magnitude Displacement vectors are instructions: go this far in this direction. They are not attached to particular points (go from A to B) Addition of vectors just means do one, then the next…
Vector addition: geometric To combine two vectors, do one, followed by the other… + = Resultant Vector To subtract, just add the opposite… - = + = Resultant Vector a+b=b+a=c “commutativity”

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Odd feature of vectors Adding up a set of non- zero vectors can lead to a sum which is zero… Examples: • paddling upstream • canceling forces + Demonstration
Given the following three vectors: A B C Which of the following could be the sum A + B + C? 1: 2: 3: 4:

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Finding the ‘components’ of vectors Any vector can be written as a sum of other vectors. It is often useful to write a vector as a sum of ‘component’ vectors, each of which is parallel to a chosen coordinate axis.
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