Monday, October 31, 2016

October 17th, 2016: LAB 15: Collisions in 2-D

Michell Kuang
Lab Partners: Charles, Anthony
Date performed: 10/17/16

In this lab, we examined two-dimensional collisions and determined whether the conservation of energy and momentum principles applied. For our experiment, we did a collision with two balls of the same mass, and a collision with two balls of different masses. Our setup included a leveled glass table on which we were able to place two balls stationary. Directly above that table, we used a ring stand and an apparatus to hold our phone so that we could record the collisions in slow motion. These videos will later be transferred over to a computer so that we can analyze data on Logger Pro.

 

Setup of glass table on which collisions were performed 

Before starting the experiment, we took measurements of the length of the table and the masses of the balls that we were using for our collisions. Our table length was 0.653m (this will later be used as a scale on Logger Pro). We had three balls: two steel balls of roughly the same mass (m1=0.067kg, m2=0.0667kg) and a glass ball of different mass m3=0.197kg. With this data, we were able to start the experiment and perform the collisions. For our experiment, we wanted to make sure that after the collision, the balls rolled off at some decent angle from one another. Once we recorded videos for both of those, we transferred them onto a computer and into Logger Pro.

In Logger Pro, after setting up the scale of the table, we clicked on the position of the balls as they moved in the video per 4 frames. This produced a graph of x and y positions of the balls vs. time.

 

Logger Pro view:  Same mass collision, graph of x and y positions vs. time

We then created calculated columns for x and y positions of the center of mass of the system and x and y velocities of the center of mass of the system. Additional graphs of these vs. time were produced.

 

Logger Pro view: Same mass collision, columns of data and video with edits on right

 

 Logger Pro view: Same mass collision, graph of x and y positions of cm of system vs. time


Logger Pro view: Same mass collision, graph of x and y velocities of cm of system vs. time

The same steps were repeated for the different mass collision.

 

Logger Pro view: different mass collision, graph of x and y positions vs. time

 

Logger Pro view: different mass collision, columns of data and video with edits on right

 

Logger Pro view: different mass collision, graph of x and y positions of cm of system vs. time

 

Logger Pro view:  different mass collision, graph of x and y velocities of cm of system vs. time

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