34. The distance the marble travels is determined by its initial speed (and the methods of Chapter 4), and the initial speed is determined (using energy conservation) by the original compression of the spring. We denote has the height of the table, and xas the horizontal distance to the point where the marble lands. Then x = v0tand hgt=122(since the vertical component of the marble's “launch velocity” is zero). From these we find xvhg=02. We note from this that the distance to the landing point is directly proportional to the initial speed. We denote v0 1be the initial speed of the first shot and D1= (2.20 – 0.27) m = 1.93 m be the horizontal distance to its landing point; similarly, v02is the initial speed of the second shot and
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.