Table 2A Mass of the crate= 50 kg Friction = ON Applied Sum of Force, Fapp (N) Forces, Fnet (N) 100 100 150 150 200 200 250 250 300 300 400 400 500 500 Time, t Trial (s) 1 20.23 20.16 2 3 20.10 Average 20,16 1 13.67 2 13.53 3 13.51 Average 13.57 1 10.19 2 10.23 3 10.25 Average 10.22 1 8.13 2 8.19 3 8.07 Average 8.13 1 6.86 2 6.78 3 6.68 Average 6.77 1 5.22 2 5.24 3 5.16 Average 5.20 1 3.94 2 4.24 3 3.93 Average 4.03 ........ 111 ▬▬▬ ▬▬▬ 11 73² Acceleration, a at 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 8 8 8 8 10 10 10 10 m ae 1.9772 1.9841 1.9900 1.9837 2.9261 2.9563 2.9607 2.9477 3.9254 3.9100 3.9024 3.9126 4.9200 4.8840 4.9566 4.9202 5.8309 5.8997 5.9880 5.9062 7.6628 7.6335 7.7519 7.6827 10.1522 9.4339 10.1781 9.9214 % Error 0.0081 0.0174 0.0218 0.0159 0.0156 0.0396 0.0078 Table 2B Mass of the crate= 50 kg Applied Force, Fapp Friction, f (N) (N) 150 94 200 94 250 94 300 94 350 94 400 94 500 94 Sum of Forces, Fnet (N) 56 106 156 206 256 306 406 Trial Time, t (s) 1 2 35.98 35.97 35.90 3 Average 35.95 1 2 3 Average 1 18.90 18.87 18.99 18.92 13.08 13.12 2 13.10 3 Average 13.1 1 9.93 10.10 9.84 3 Average 9.95 1 7.91 2 7.83 3 7.95 Average 7.89 1 6.54 6.77 6.62 3 Average 6.64 4.94 1 2 4.84 3 5.07 Average 4.95 L ELLLE! 2 ▬▬ LIELLL 2 Acceleration, a at 1.12 1.12 1.12 1.12 2.12 2.12 2.12 2.12 3.12 3.12 3.12 3.12 4.12 4.12 4.12 4.12 5.12 5.12 5.12 5.12 6.12 6.12 6.12 6,12 8.12 8.12 8.12 8.12 ae 1.1117 1.1120 1.1142 1.1126 2.1164 2.1197 2.1063 2.1141 3.0581 3.0487 3.0534 3.0534 4.0281 3.9603 4.0650 4.0178 5.0568 5.1085 5.0314 5.0655 6.1162 5.9084 6.0422 6,0222 8.0971 8.2644 7.8895 8.0836 .... % Error 0.0066 0.0027 0.0213 0.0248 0.0106 0.0159 0.0044
Table 2A Mass of the crate= 50 kg Friction = ON Applied Sum of Force, Fapp (N) Forces, Fnet (N) 100 100 150 150 200 200 250 250 300 300 400 400 500 500 Time, t Trial (s) 1 20.23 20.16 2 3 20.10 Average 20,16 1 13.67 2 13.53 3 13.51 Average 13.57 1 10.19 2 10.23 3 10.25 Average 10.22 1 8.13 2 8.19 3 8.07 Average 8.13 1 6.86 2 6.78 3 6.68 Average 6.77 1 5.22 2 5.24 3 5.16 Average 5.20 1 3.94 2 4.24 3 3.93 Average 4.03 ........ 111 ▬▬▬ ▬▬▬ 11 73² Acceleration, a at 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 8 8 8 8 10 10 10 10 m ae 1.9772 1.9841 1.9900 1.9837 2.9261 2.9563 2.9607 2.9477 3.9254 3.9100 3.9024 3.9126 4.9200 4.8840 4.9566 4.9202 5.8309 5.8997 5.9880 5.9062 7.6628 7.6335 7.7519 7.6827 10.1522 9.4339 10.1781 9.9214 % Error 0.0081 0.0174 0.0218 0.0159 0.0156 0.0396 0.0078 Table 2B Mass of the crate= 50 kg Applied Force, Fapp Friction, f (N) (N) 150 94 200 94 250 94 300 94 350 94 400 94 500 94 Sum of Forces, Fnet (N) 56 106 156 206 256 306 406 Trial Time, t (s) 1 2 35.98 35.97 35.90 3 Average 35.95 1 2 3 Average 1 18.90 18.87 18.99 18.92 13.08 13.12 2 13.10 3 Average 13.1 1 9.93 10.10 9.84 3 Average 9.95 1 7.91 2 7.83 3 7.95 Average 7.89 1 6.54 6.77 6.62 3 Average 6.64 4.94 1 2 4.84 3 5.07 Average 4.95 L ELLLE! 2 ▬▬ LIELLL 2 Acceleration, a at 1.12 1.12 1.12 1.12 2.12 2.12 2.12 2.12 3.12 3.12 3.12 3.12 4.12 4.12 4.12 4.12 5.12 5.12 5.12 5.12 6.12 6.12 6.12 6,12 8.12 8.12 8.12 8.12 ae 1.1117 1.1120 1.1142 1.1126 2.1164 2.1197 2.1063 2.1141 3.0581 3.0487 3.0534 3.0534 4.0281 3.9603 4.0650 4.0178 5.0568 5.1085 5.0314 5.0655 6.1162 5.9084 6.0422 6,0222 8.0971 8.2644 7.8895 8.0836 .... % Error 0.0066 0.0027 0.0213 0.0248 0.0106 0.0159 0.0044
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
1. Based on your obtained results, discuss the effect of the presence of friction on the motion of the crate.
2. What is the slope of EACH graph? What do the SLOPES represent?
Transcribed Image Text:Table 2A
Mass of the crate= 50 kg
Friction = 0 N
Sum of
Applied
Force, Fapp Forces, Fnet
(N)
(N)
100
100
150
150
200
200
250
250
300
300
400
400
500
500
Time, t
(s)
20.23
20.16
20.10
Average 20.16
13.67
13.53
3
13.51
Average 13.57
1
10.19
10.23
10.25
10.22
8.13
8.19
8.07
8.13
1
6.86
2
6.78
3
6.68
Average 6.77
1
5.22
5.24
5.16
5.20
3.94
4.24
3.93
4.03
Trial
1
EL.LEO.L
2
3
1
2
¶¯¯¯¯¯¯¯¯¯¯
2
3
Average
1
2
3
Average
LALELLLI
2
3
Average
1
2
3
Average
Acceleration, a ()
at
2
2
2
2
3
3
3
3
late
4
4
4
4
5
5
5
5
6
6
6
6
8
8
8
8
10
10
10
10
ae
1.9772
1.9841
1.9900
1.9837
2.9261
2.9563
2.9607
2.9477
3.9254
3.9100
3.9024
3.9126
4.9200
4.8840
4.9566
4.9202
5.8309
5.8997
5.9880
5.9062
7.6628
7.6335
7.7519
7.6827
10.1522
9.4339
10.1781
9.9214
% Error
0.0081
0.0174
0.0218
0.0159
0.0156
0.0396
0.0078
Table 2B
Mass of the crate= 50 kg
Applied
Force, Fapp
Friction, f
(N)
(N)
150
94
200
94
250
94
300
94
350
94
400
94
500
94
Sum of
Forces, Fnet
(N)
56
106
156
206
256
306
406
Trial
Time, t
(s)
1
2
35.98
35.97
3
35.90
Average 35.95
1
18.90
2
18.87
18.99
3
Average
1
18.92
2
13.08
13.12
13.10
13.1
3
Average
1
9.93
10.10
2
3
9.84
Average
9.95
7.91
1
2
3
Average
1
7.83
7.95
7.89
6.54
2
6.77
3
6.62
Average
6.64
1
4.94
2
4.84
5.07
3
Average
4.95
E
17
m
ae
1.1117
1.1120.
1.1142
1.1126
2.1164
2.1197
2.1063
2.1141
3.0581
3.0487
3.0534
3.0534
4.0281
3.9603
4.0650
4.0178
5.0568
5.1085
5.0314
5.0655
6.1162
5.9084
6.0422
6.0222
8.0971
8.2644
7.8895
8.0836
Acceleration, a
at
1.12
1.12
1.12
1.12
2.12
2.12
2.12
2.12
3.12
3.12
3.12
3.12
4.12
4.12
4.12
4.12
5.12
5.12
5.12
5.12
6,12
6.12
6.12
6.12
8.12
8.12
8.12
8.12
in in
T
% Error
0.0066
0.0027
0.0213
0.0248
0.0106
0.0159
0.0044
Transcribed Image Text:2. From Tables 2A and 2B,
Table 2A (Without friction)
600
>500
400
300
200
100
0
Sum of forces (Fnet) y vs acceleration (a) x
4
6
8
10
acceleration (a) x
Sum of forces (Fnet) y vs acceleration (a) x
0
1
2
3
4
5
6
7
8
9
acceleration (a) x
Compare the two graphs.
Both graphs form a straight line with a force that is directed properly net acceleration and
acceleration that is directly proportional to the net force on the object. Or we can simply
say that acceleration is non zero if net force is zero
Sum of forces (Fneto y
0
2
Table 2B (With friction)
450
400
350
300
250
200
150
100
50
Sum of forces (Fnet) y
0
12
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