DATA TABLE Number of books 1 2 3 1 2 3 Height of books, h (m) 0.76 0-115 0.154 Number of Height of books books, h (m) 0.076 0.115 0.154 Length of incline, x (m) 0.8 0.8 0.8 Length of incline, x (m) 0.8 0.8 0.8 Data using ball sin(8) trial 1 (m/s²) sin(8) 7.64 15. 15 15.86 Data using cart trial 1 (m/s²) 2.226 3.518 4.17 Determining g on an Incline Acceleration trial 2 (m/s²) 7.64 7.55 16.58 13.09 19.62 21.14 Acceleration trial 2 (m/s²) trial 3 (m/s²) 2.328 3.815 4.08 trial 3 (m/s²) 2.299 3.640 4.08 Average acceleration (m/s²) 7.61 14.94 18.87 Average acceleration (m/s²) 2.284 3.658 4.11

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a) Draw a best-fit line by hand or use the linear-regression feature of Graphical Analysis, and determine the slope. The slope can be used to determine the acceleration of the ball on an incline of any angle. b) Repeat the analysis for the low friction dynamics cart.
DATA TABLE
Number of
books
1
2
3
Number of
books
1
2
3
Height of
books, h
(m)
0.76
0-115
0.154
Height of
books, h
(m)
0.076
0.115
0.154
Length of
incline, x
(m)
0.8
0.8
0.8
Length of
incline, x
(m)
0.8
0.8
Data using ball
sin(6)
trial 1
(m/s²)
sin(8)
7.64
IS. IS
15.86
Data using cart
trial 1
(m/s²)
2.226
3.518
4.17
Determining g on an Incline
Acceleration
trial 2
(m/s²)
trial 3
(m/s²)
7.64 7.55
16.58
13.09
19.62
Acceleration
trial 2
(m/s²)
21.14
trial 3
(m/s²)
2.328 2.299
3.815
3.640
4.08
4.08
Average
acceleration
(m/s²)
7.61
14.94
18.87
Average
acceleration
(m/s²)
2-284
3.658
4.11
Transcribed Image Text:DATA TABLE Number of books 1 2 3 Number of books 1 2 3 Height of books, h (m) 0.76 0-115 0.154 Height of books, h (m) 0.076 0.115 0.154 Length of incline, x (m) 0.8 0.8 0.8 Length of incline, x (m) 0.8 0.8 Data using ball sin(6) trial 1 (m/s²) sin(8) 7.64 IS. IS 15.86 Data using cart trial 1 (m/s²) 2.226 3.518 4.17 Determining g on an Incline Acceleration trial 2 (m/s²) trial 3 (m/s²) 7.64 7.55 16.58 13.09 19.62 Acceleration trial 2 (m/s²) 21.14 trial 3 (m/s²) 2.328 2.299 3.815 3.640 4.08 4.08 Average acceleration (m/s²) 7.61 14.94 18.87 Average acceleration (m/s²) 2-284 3.658 4.11
average acceleration
14
12
10
HEN
O
X: dala using ball
•: data using cort
too
t
A
O
data using balt
data using cart
sine
#
Transcribed Image Text:average acceleration 14 12 10 HEN O X: dala using ball •: data using cort too t A O data using balt data using cart sine #
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