Partners: Matthew Ibarra, Billy Justin
Date of Lab: 19 October 2016
Lab 15 Collisions In Two Dimensions
Mission Statement:To observe two-dimensional collisions and determine if momentum and energy are conserved.
Theory: The theory behind this lab involved the determination of whether momentum and energy were conserved in this collision. Assuming a perfectly inelastic collision, the final momentum and energy of the system should equal the initial.
Experimental Procedure for Part 1:
For this lab, we set up an apparatus depicted in the image below
-2 marble of mass 0.02 kg
-1 steel ball of ass 0.07 kg
-square glass table of length 62.5 cm
Data
a) Different mass collision.
1. We recorded a video of the collision, uploaded it to loggerpro, then set the frame rate to 240, enough to make good data points using the dot function to track the movement of both balls.
On the left side of the above picture is the Vo of both x and y components of both balls, while the right side of the picture is the Vf of both x and y components of both balls. Next, using the data set from the video, we plotted two graphs. One is the x and y center of mass position vs time graph the other is the x and y center of mass velocity graph.Nonetheless, we could have also gathered this data using x/y velocity/position cm = (M1*x/y velocity/position + M2* x/y velocity/position) / total mass.
Next we want to kno if momentum and kinetic energy is conserved in the system.
-for momentum we designed 2 graphs through the use of the formula we had placed in the calculated column using M1*(x/y) velocity.
For Kinetic Energy we also plotted a graph using another formula, 0.5*M1*(x-velocity^2 + y-velocity^2) + 0.5*M2*(x-velocity^2 + y-velocity^2)
If indeed momentum and energy were truly conserved then we should anticipate a graph which looks like a horizontal line, but given the amateur nature we instead obtained a scattered graph, shown below.
Experimental Procedure for Part 1:
For this lab, we set up an apparatus depicted in the image below
-1 steel ball of ass 0.07 kg
-square glass table of length 62.5 cm
Data
1. We recorded a video of the collision, uploaded it to loggerpro, then set the frame rate to 240, enough to make good data points using the dot function to track the movement of both balls.
On the left side of the above picture is the Vo of both x and y components of both balls, while the right side of the picture is the Vf of both x and y components of both balls. Next, using the data set from the video, we plotted two graphs. One is the x and y center of mass position vs time graph the other is the x and y center of mass velocity graph.Nonetheless, we could have also gathered this data using x/y velocity/position cm = (M1*x/y velocity/position + M2* x/y velocity/position) / total mass.
Next we want to kno if momentum and kinetic energy is conserved in the system.
-for momentum we designed 2 graphs through the use of the formula we had placed in the calculated column using M1*(x/y) velocity.
For Kinetic Energy we also plotted a graph using another formula, 0.5*M1*(x-velocity^2 + y-velocity^2) + 0.5*M2*(x-velocity^2 + y-velocity^2)
If indeed momentum and energy were truly conserved then we should anticipate a graph which looks like a horizontal line, but given the amateur nature we instead obtained a scattered graph, shown below.
Conclusion-Sources of error in our experiment likely revolved around the actual elasticity of the collision, air resistance, and non-dead-on impacts, even if not discernible by our eyes.
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