Measurements and Calculations for Marble Block Collision
 Share
The version of the browser you are using is no longer supported. Please upgrade to a supported browser.Dismiss

 
View only
 
 
Still loading...
ABCDEFGHIJKLMNOPQRST
1
Conservation of Linear Momentum for Marble colliding with a Block
2
3
Before the collision...
4
It takes...6frames
5
which is...0.00625seconds
6
for the marble to travel...0.27meters
7
so the velocity is43.2m/s
8
the mass of the marble is0.0044kg
9
so the linear momentum is (p=mv)0.19008kg m/s
10
11
After the collision (marble)...
12
it takes..60frames
13
which is0.0625seconds
14
for the marble to travel-0.27m
15
so the velocity is-4.32m/s
16
and the linear momentum is-0.019008kg m/s
17
18
After the collision (block)...
19
it takes79frames
20
which is 0.08229166667seconds
21
for the block to travel0.27m
22
so the velocity is3.281012658m/s
23
the mass is 0.0645kg
24
so the linear momentum is0.2116253165kg m/s
25
26
total momentum after the collision:0.1926173165kg m/s
27
total momentum before the collision:0.19008kg m/s
28
percent difference1.31728367%
29
30
Key observation: linear momentum is conserved during this collision. The slight increase in momentum is within the range of measurement uncertainty.
31
32
Angular momentum
33
34
marble before the collision...
35
the marble is moving43.2m/s
36
at a distance from the c.o.m of the block of0.065m/s
37
so the angular momentum (l=rmv)0.0123552kg m/s^2
38
39
40
marble after collision...
41
the marble is moving-4.32m/s
42
at a distance from the com of the block of0.065m
43
so the angular momentum is-0.00123552kg m^2/s
44
45
the block rotating end over end
46
it takes79frames
47
which is0.08229166667seconds
48
for the block to rotate6.2831853radians
49
so the angular velocity is76.35263149rad/sec
50
the thickness of the block is0.02m
51
the length of the block is0.184m
52
the rotational inertia is0.000184126kg m^2
53
angular momentum of block0.01405850463kg m^2/s
54
55
total angular momentum before collision0.0123552kg m^2/s
56
total angular momentum after collision0.01282298463kg m^2/s
57
percent difference3.648016745%
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
Loading...
 
 
 
Sheet1