Lecture_4 - 4.1 Changes in Velocity Graphically Remember an...

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1 4.1 Changes in Velocity Graphically… • Remember an x -t graph at constant velocity is a straight line. • If the displacement x at time t is above the tangent, the object’s velocity is increasing (or, as shown in the picture, we could look at size of the displacement in the same amount of time) Using bold for vectors, unlike handwriting, sorry.
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2 4.1 Changes in Velocity Graphically… If the displacement, x at time t is below the tangent The object’s velocity is decreasing (not necessarily in magnitude…could just be getting bigger but more negative.
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3 4.2 Falling and Gravitation • Picture shows the position of the falling ball every 0.5 seconds • Notice how the spacing increases as the ball drops • This shows that the ball covers increasingly larger distances in successive equal time intervals. • The speed of the ball increases as it falls • The ball accelerates
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4 4.2 Falling and Gravitation Does the acceleration depend on the physical characteristics of the object? Galilean thought experiments – Feather and stone – 3 Equal bricks / 1 heavy & 1 light brick
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5 4.2 Falling and Gravitation Does the acceleration depend on the physical characteristics of the object? No! Galileo argued that any observed time difference for the objects to fall was directly related to air resistance
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6 4.3 Free Fall Now we have the tools to do a real experiment: Feather and Stone – One pair outside , released in the air . – One pair inside , released in a vacuum . The results confirm Galileo’s argument, based on his thought experiment: In the absence of air , the acceleration of a falling object is the same; hence, the fall time is the same.
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7 4.3 Free Fall Free Fall – The motion of objects under the influence of gravity only . – Feather & Rock in vacuum are in free fall .
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This note was uploaded on 06/04/2009 for the course PHYS 2054 taught by Professor Stewart during the Spring '08 term at Arkansas.

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Lecture_4 - 4.1 Changes in Velocity Graphically Remember an...

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