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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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Physics 140 Please log in to the Qwizdom system: To change your response during a presentation, press “C,” then send. You can now change your answer if the polling is still open. 1) To turn on the Qwizdom response unit press Menu for 2 seconds. 2) Toggle through the options with the arrow keys until you reach “Session ID”. 3) Press send (back and forth arrows), wait until the unit asks you if you want to change, press “yes”. 4) Then type in the current session ID # (140) and press send. 5) After the “session ID”, following similar steps you enter your “User ID”. Your User ID is your 8-digit UMICH ID # found on your MCard. Send Question: How many fingers am I holding up?
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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…
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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
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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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