In conclusion, state the relationship between the mass of the spherical object and the distances they were let to roll with reference to the ramp to the knock-back distance of catcher 1. What implications do these relationships give concerning the magnitude of the force which causes the knocking-back of catcher 1?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 23E
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In conclusion, state the relationship between the mass of the spherical object and the distances they were let to roll with reference to the ramp to the knock-back distance of catcher 1. What implications do these relationships give concerning the magnitude of the force which causes the knocking-back of catcher 1?

SPEHRICAL OBECT 1 MASS (kg)
0.0022
SPEHRICAL OBECT 2 MASS (kg)
0.0031
SPEHRICAL OBECT 3 MASS (kg)
0.0053
SET-UP 1 AND 2 (LIGHTEST MASS AT DIFFERENT LENGTHS WITH CATCHERS 1 AND 2)
Time from top to end of ramp and
corresponding accelerations
Trials for 10 cm Catcher 1 Knock-
Trials for 20 cm
Catcher 1 Knock-
Trials for 30 cm
Catcher 1 Knock-
Configurations
Time 1
Time 2
Time 3
Ave.
ramp distance
back Distance
ramp distance
back Distance
ramp distance
back Distance
10 cm ramp distance
0.35
0.48
0.56
0.46
1
2
2
Calculated Acceleration
1.63
0.87
0.64
1.05
1
2
2
2
3
20 cm ramp distance
Calculated Acceleration
30 cm ramp distance
Calculated Acceleration
0.73
0.56
0.64
0.64
3
1
3
1
3
3
0.75
1.28
0.98
1
Ave.
1
Ave.
1.67
Ave.
2.67
0.81
0.56
0.68
0.68
0.91
1.91
1.3
1.4
Catcher 2 Knock-
Catcher 2 Knock-
Catcher 2 Knock-
Trials for 10 cm back Distance
Trials for 20 cm
back Distance
Trials for 30 cm
back Distance
ramp distance
(cm)
ramp distance
(cm)
ramp distance
(cm)
rce calculation 10 cm ramp distar 0.00231
rce calculation 20 cm ramp distar 0.0031
rce calculation 30 cm ramp distar 0.00742
1
1
0.7
1
3.1
2
0.6
2
3.3
3
3
0.4
3
2
Ave.
Ave.
0.57
Ave.
2.8
SET-UP 3 & 4 (2 OTHER SPHERICAL OBJECTS WITH CATCHER 1 AT 10 CM)
SHPERICAL
lOBJECT NO.
SHPERICAL
2
ОBJЕCT NO.
3
Catcher 1 Knock-
Catcher 1 Knock-
Trials for 10 cm back Distance
Trials for 10 cm
back Distance
ramp distance
(cm)
ramp distance
(cm)
1
2
1.3
2.
0.6
2
1.5
3
2
3
1
Ave.
1.53
Ave.
1.27
Transcribed Image Text:SPEHRICAL OBECT 1 MASS (kg) 0.0022 SPEHRICAL OBECT 2 MASS (kg) 0.0031 SPEHRICAL OBECT 3 MASS (kg) 0.0053 SET-UP 1 AND 2 (LIGHTEST MASS AT DIFFERENT LENGTHS WITH CATCHERS 1 AND 2) Time from top to end of ramp and corresponding accelerations Trials for 10 cm Catcher 1 Knock- Trials for 20 cm Catcher 1 Knock- Trials for 30 cm Catcher 1 Knock- Configurations Time 1 Time 2 Time 3 Ave. ramp distance back Distance ramp distance back Distance ramp distance back Distance 10 cm ramp distance 0.35 0.48 0.56 0.46 1 2 2 Calculated Acceleration 1.63 0.87 0.64 1.05 1 2 2 2 3 20 cm ramp distance Calculated Acceleration 30 cm ramp distance Calculated Acceleration 0.73 0.56 0.64 0.64 3 1 3 1 3 3 0.75 1.28 0.98 1 Ave. 1 Ave. 1.67 Ave. 2.67 0.81 0.56 0.68 0.68 0.91 1.91 1.3 1.4 Catcher 2 Knock- Catcher 2 Knock- Catcher 2 Knock- Trials for 10 cm back Distance Trials for 20 cm back Distance Trials for 30 cm back Distance ramp distance (cm) ramp distance (cm) ramp distance (cm) rce calculation 10 cm ramp distar 0.00231 rce calculation 20 cm ramp distar 0.0031 rce calculation 30 cm ramp distar 0.00742 1 1 0.7 1 3.1 2 0.6 2 3.3 3 3 0.4 3 2 Ave. Ave. 0.57 Ave. 2.8 SET-UP 3 & 4 (2 OTHER SPHERICAL OBJECTS WITH CATCHER 1 AT 10 CM) SHPERICAL lOBJECT NO. SHPERICAL 2 ОBJЕCT NO. 3 Catcher 1 Knock- Catcher 1 Knock- Trials for 10 cm back Distance Trials for 10 cm back Distance ramp distance (cm) ramp distance (cm) 1 2 1.3 2. 0.6 2 1.5 3 2 3 1 Ave. 1.53 Ave. 1.27
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