Physics Lab 10
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PHYS 172
LAB 10: Energy Analysis of Collisions
Spring 2022
LAST NAME (ALL CAPS)
HIGGINS
FIRST NAME (ALL CAPS) CAMILLE
PUID: 0033403482
LAB GROUP (TABLE) # 27
LAB DAY: TUESDAY
LAB TIME: 7:30
LAB ROOM: 018
The goal of this lab is to:
●
Determine the coefficient of restitution of the ball bouncing off the floor.
●
Program and analyze the motion an object that bounces off the ground.
Introduction
One quantity that is used to describe the effect of a collision of two objects is called
Coefficient of Restitution
. It is the
ratio of the speed of an object after and before the impact. The larger this coefficient is for a given object, the closer to
elastic is the collision. Coefficient of restitution is an empirically determined quantity and depends on a wide range of
properties of both objects.
PASCO Experiment
Take a video (on a cell phone) of a ball falling vertically from about 1.5-2.0 m and bouncing off the floor.
The procedure here is the same as for Lab 08:
-
Take a ball from your TA and the 2-meter wooden stick.
-
Go to the hallway and find a clear background for your video.
-
Record from about the midpoint of the height from which your group will drop the ball.
-
Save the video on your phone and upload it to your lab PC.
-
Open PASCO Capstone and Video Analysis.
-
Upload the video you recorded.
Set the Graph axes to
Object #1
→
vy, Object#1 (m/s)
and
Time (s)
.
Add another Graph and set its axes to
Object #1
→
y, Object#1 (m)
and
Time (s)
.
Make appropriate alignment for your video recording:
-
Y-axis should point in the vertical direction of your video recording.
-
X-axis should point in the horizontal direction of your video.
-
If your camera was slightly tilted during the recording, then the Coordinate axes will be tilted too.
-
Pace the ends of Calibration Tool exactly at the ends of the meter stick.
-
Set the length of Calibration Tool to 2.0 m (the length of the meter stick) for proper scaling.
Analyze the video and build a motion graph of the ball (its Y-velocity vs time):
-
Click on the video display at the center of the ball.
-
Click the second time and so that a cross point appears.
-
Click at the center of the ball every frame until it bounces
at least 3 times
.
-
Scale your Graph using the Scaling tool for clear visual representation.
-
Smooth your Graph using the Smoothing tool for better visual representation.
When you are done, your Capstone page should look similar to the sample below.
2
[Delete the image above, take a snapshot of your graph and attach it instead]
To find the
Coefficient of Restitution
(
COR
) we need to calculate the ratio
between the speed immediately after the collision
𝑣
?
over the speed
immediately before the collision
𝑣
?
:
COR
=
|
𝑣
⃗
??𝑡?𝑟
|
|
𝑣
⃗
???𝑜𝑟?
|
.
Read the velocities before and after
each
rebound in the graph of Velocity vs
Time and
calculate the COR
for
each
rebound in the table provided below.
The COR is a positive number, and its possible values are COR
≤ 1
; therefore,
if your calculated COR is greater than 1, review your data and calculation.
Bounce #
1
2
3
4
|𝑣
???𝑜𝑟?
|
-5.61
-4.77
-4.02
-3.6
|𝑣
??𝑡?𝑟
|
4.91
4.58
3.41
3.34
COR
0.875
0.960
0.848
0.928
0.903
Q1: What is the mean value of the COR for your bouncing ball?
0.903
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Express your answer to two significant figures and include appropriate units.
Templates Symbols undo redo reset keyboard shortcuts help
Value
Units
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Three objects A, B, and C are moving as shown in the
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Part E
%3D
Find the x-component of the net momentum of the particles if we define the system to consist of all three objects.
Express your answer in kilogram meters per second.
?
Px =
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Submit
Request Answer
Part F
Figure
1 of 1
Find the y-component of the net momentum of the particles if we define the system to consist of all three objects.
Express your answer in kilogram meters per second.
A
?
5.0 kg
B 60°
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Submit
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1.Using your measurements from Table 1, calculate the total kinetic energy of the two carts before collision for each trial (this is the initial kinetic energy, K). Show your calculations below and record your results in Table 2.
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3. Calculate the % change in kinetic energy during the collision for each trial. Show your calculations below and record your results in Table 2.
% change = final − initia/ initial × 100
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?
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(UA)2=
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Submit
Part B
Determine the velocity of Bjust after the collision measured to the right.
Express your answer to three significant figures and include the appropriate units. Enter positive value if the velocity is directed to the right and negative value if the velocity is directed to the left.
Figure
1 of 1
m/s
Value
(VB)2
(у)
Submit
Request Answer
B
Provide Feedback
Next
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=
• Initially, the block is at rest on a
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the block
coming
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rest?
conservation approach.
travel before
Use
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A openvellum.ecollege.com
Course Home
ΑΣφ
Vo
Submit
Previous Answers
X Incorrect; Try Again; 13 attempts
remaining
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not depend
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Show the initial and rearranged equation as well as all numbers you plug in
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