GWANDA STATE UNVERSITY
FACULTY OF ENGINEERING AND ENVIRONMENT
DEPARTMENT OF MINING
APPLIED MATHEMATICS / ENGINEERING MATHEMATICS FOUR
GROUP 4 ASSIGNMENT
PANASHE MASHAMAIRE G0210588H
MASENDA DILLAN H G0210888D
PRINCE CHARUMA G0210663N
FARAI CHAKAUYA G0210378T
ZWIDE NDLOVE G0211758P
CHIYEDZA B KAENDEZA G0210258K
ROY NDOU G0211113U
QUESTION
A study was carried out to determine if the amount of explosive have an effect on the extent of rock
fragmentation. Five types of rocks were tested using five different amounts of explosives (ANFO). The
following results were obtained
AMOUNT OF EXPLOSIVE (Kg)
(ANFO)
ROCK TYPE
1
2
20
10.20
9.65
09.20
08.95
09.00
08.40
10.35
15.22
14.61
13.22
15.13
14.43
14.99
15.02
30
20.53
19.24
18.61
18.09
19.87
20.05
20.12
25.17
23.22
23.89
24.01
23.99
24.33
24.10
40
30.01
29.63
28.17
29.94
28.49
30.17
29.73
35.66
35.13
33.89
34.37
34.11
33.01
33.90
50
39.73
40.13
38.97
39.17
39.70
40.78
39.55
45.11
44.33
44.23
43.18
43.78
45.99
44.00
60
49.19
50.34
50.33
48.27
48.44
49.11
49.44
55.00
55.66
55.13
54.24
54.98
53.99
54.05
3
4
5
20.33
20.99
19.19
19.79
18.99
19.55
19.00
24.00
25.11
23.17
24.77
23.80
23.99
24.20
30.90
30.09
29.69
30.50
28.11
28.77
29.00
30.00
30.12
29.99
29.11
28.00
28.65
29.20
35.41
34.34
33.35
35.00
34.11
33.33
34.00
40.09
39.89
39.14
38.70
38.09
38.77
40.10
40.13
40.00
39.11
39.00
38.90
38.58
39.02
44.09
45.01
44.43
43.78
43.11
44.00
45.20
50.01
49.87
48.10
48.51
49.60
48.99
49.40
50.22
50.51
49.00
49.19
48.67
48.99
49.40
54.00
55.09
54.79
53.28
53.99
53.07
53.40
60.09
59.90
58.99
59.40
58.01
59.99
59.60
60.00
59.80
59.11
59.00
57.00
57.99
57.50
65.08
64.79
64.49
64.64
63.99
63.90
64.00
70.19
69.69
69.01
68.99
68.11
70.56
69.40
SOLUTIONS
HO1: There are no significant differences between the 25 treatments.
H11: There are significant differences between the 25 treatments.
HO2: Amount of explosive does not affect the extent of rock fragmentation
H12: Amount of explosive does affect the extent of rock fragmentation
Ho3: The rock type does not affect the extent of rock fragmentation
H13: The rock type does affect the extent of rock fragmentation
Ho4: There is no interaction between the amount of explosive and rock type
H14: There is interaction between the amount of explosive and rock type
Reject HO1 to HO4 if their corresponding FCAL values are greater than the corresponding FTAB
values.
CONCLUSION
We fail to reject Ho1 and concluded that There are no significant differences between the 25
treatments.
We fail to reject H02 and concluded that Amount of explosive does not affect the extent of
rock fragmentation.
We fail to reject H03 and concluded that the rock type does not affect the extent of rock
fragmentation.
We reject H04 and concluded that there is interaction between the amount of explosive and
rock type.