# lab 2 - Paul Sanders Phys 141 Sect 16 Range Vs Height Lab...

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Paul Sanders Phys 141 Sect. 16 Range Vs. Height Lab Goals: The goal of this experiment is to perform several experiments in order to determine the function for the range, R, of an object in terms of the height that the ball is dropped from, H, and the height at which it hits a bounce plate, h. We will use the data gained to determine the empirical relationship and coefficient of restitution between height and range. Theory: In this experiment we needed to determine a function for R using H and h, and began with the equations R=vt and H=H 0 + V 0 t + 1/2gt 2 . We will start with the second equation. Since the initial height (H 0 ) and velocity (V 0 ) are zero, we can re-write the equation as H=1/2gt 2 . We then solve the equation for t and get t= 2Hg . When we plug that into the R=vt equation we get R=v*√(2H/g). To find R, however, we still have to find v, so we use the equation V=V 0 + gt. Once again we cancel out V 0 and substitute √(2H/g) for t. This gives us V=g , 2Hg which gives us V= . 2gH We now return to the equation R=vt, and make the necessary substitutions to get R= 2gH * 2hg . We simplify this to get * , 4h H which is our final equation. Procedure: This experiment was divided into three major parts. In part 1, the object was to observe the scatter in data and how it was affected with more drops. To do this we set both heights, H and h, to about 20 cm, placed a piece of carbon paper over a large piece of regular paper, and

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