Imagine that your lab group (which may or may not be taking physics in an altern
ID: 2078126 • Letter: I
Question
Imagine that your lab group (which may or may not be taking physics in an alternate reality) creates a string with screws at positions lm, 2m, 3m, 4m, and 5m. You drop this string from a height of 5m. just as the lab instructions tell you to do. and you notice that the time intervals between screws hitting the cookie sheet get larger with each screw. The first two impacts are close together, then a little farther apart, then farther, and farther. Assume that all your measurements and observations are more or less accurate and that you performed your drop correctly. What would you conclude from your data about the behavior of objects in free fall? Now imagine that you are living in a world where free-falling objects have an upwards jerk (i.e. a negative jerk if down is positive). In other words, they accelerate downwards, but the downwards acceleration gets smaller and smaller with each beat. Design a pattern of bolt positions that might produce a steady rhythm in this imaginary world. Think hard. This is hard. Show ALL work relating to your pattern. Draw both a position and a displacement diagram for your pattern. Using math, words, & diagrams (as necessary), explain why your pattern should produce a steady rhythm in the imaginary world where free-fall acceleration is downward but jerk is upward:i.e. justify your solution.Explanation / Answer
A. Free Fall of object
distance travelled S = 0.5 * g* t^2,
hence, time t = root(2S / g)
time taken by first screw T1 = root(2*1/10) = 0.4472 sec
time taken by second screw T2 = root(2*2/10) = 0.6324 sec
time taken by third screw T3 = root(2*3/10) = 0.7746 sec
time taken by fourth screw T4 = root(2*4/10) = 0.8944 sec
time taken by fifth screw T5 = root(2*5/10) = 1 sec