To understand this quantitatively, consider the following diagrams that model our string-hex nut systems: 3 2 1 d d d 3 2 1 5d 3d Set d = 10 cm (0.1 m) Using the kinematic equations, calculate the time it takes for each of the equally spaced masses in the left diagram to hit the ground. Perform the same calculation for the staggered mass system in the right diagram. How does the time change between impacts of successive masses in both scenarios? Does this agree with your observations? When we compare the two diagrams we find: Left diagram: d= ut+1/2gt^2t1= square root (2d/g) = 0.143 st2= square root (4d/g) = .202 st3= square root (6d/g) = .247 s Right diagram: first mass is = square root (2d/g) = .143 s second mass is = square root (6d/g) = .285 s third mass is = square root (10d/g) = .430 s Based on my observations, the left diagram, which represents the evenly spaced nuts, aligns with the patterns I observed. Similarly, the right diagram, which represents the unevenly spaced nuts, also corresponds to the observations I made. The values depicted in both diagrams accurately reflect the similarities I noticed during the experiment.

To understand this quantitatively, consider the following diagrams that model our string-hex nut systems: 3 2 1 d d d 3 2 1 5d 3d Set d = 10 cm (0.1 m) Using the kinematic equations, calculate the time it takes for each of the equally spaced masses in the left diagram to hit the ground. Perform the same calculation for the staggered mass system in the right diagram. How does the time change between impacts of successive masses in both scenarios? Does this agree with your observations? When we compare the two diagrams we find: Left diagram: d= ut+1/2gt^2t1= square root (2d/g) = 0.143 st2= square root (4d/g) = .202 st3= square root (6d/g) = .247 s Right diagram: first mass is = square root (2d/g) = .143 s second mass is = square root (6d/g) = .285 s third mass is = square root (10d/g) = .430 s Based on my observations, the left diagram, which represents the evenly spaced nuts, aligns with the patterns I observed. Similarly, the right diagram, which represents the unevenly spaced nuts, also corresponds to the observations I made. The values depicted in both diagrams accurately reflect the similarities I noticed during the experiment.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 91CP: between points in a plane do not change when a coordinate system is rotated In other words, the...

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