Calculate the theoretical acceleration of the lightest spherical object using Newton's second law. Then compare this to the averages when the distance relative to the ramp was 10, 20, and 30 cm using percent error calculations. (Include a free body diagram of the set-up in your solution)

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
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Chapter2: Relativity Ii
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Calculate the theoretical acceleration of the lightest spherical object using Newton's second law. Then compare this to the averages when the distance relative to the ramp was 10, 20, and 30 cm using percent error calculations. (Include a free body diagram of the set-up in your solution)

SPEHRICAL OBECT 1 MASS (kg)
0.00271
SPEHRICAL OBECT 2 MASS (kg)
0.025
SPEHRICAL OBECT 3 MASS (kg)
0.134
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
back Distance
Trials for 20 cm
Catcher 1 Knock-
Trials for 30 cm ramp
Catcher 1 Knock-
Configurations
10 cm ramp distance
Time 1
Time 2
Time 3
Ave.
ramp distance
(cm)
ramp distance
back Distance (cm)
distance
back Distance (cm)
0.28
0.3
0.28
1
1.5
2
3
Calculated Acceleration
2.551
2.2222
2.551
2.4414
2
2
2.5
2
2.5
20 cm ramp distance
0.4
0.41
0.48
3
1
3
2
3
2.5
Calculated Acceleration
2.5
2.3795
1.7361
2.2052
Ave.
1.17
Ave.
2.17
Ave.
2.67
30 cm ramp distance
0.5
0.51
0.45
Calculated Acceleration
2.4
2.3068
2.96296 2.55659
Trials for 10 cm
back Distance
Trials for 20 cm
Catcher 2 Knock-
Trials for 30 cm ramp
Catcher 2 Knock-
ramp distance
(cm)
ramp distance
back Distance (cm)
distance
back Distance (cm)
orce calculation 10 cm ramp distand 0.006616
orce calculation 20 cm ramp distand 0.005976
orce calculation 30 cm ramp distand 0.006928
1
0.5
1.5
2
2
1
2
1.5
3
3
0.8
3
1.5
Ave
Ave.
0.77
Ave.
1.5
SET-UP 3 & 4 (2 OTHER SPHERICAL OBJECTS WITH CATCHER 1 AT 10 CM)
SHPERICAL
SHPERICAL OBJECT
OBJECT NO.
NO.
3
Trials for 10 cm
back Distance
Trials for 10 cm
Catcher 1 Knock-
ramp distance
(cm)
ramp distance
back Distance (cm)
3.3
3
2
4
2
3.5
4.3
3
4.5
Ave.
3.87
Ave.
3.67
Transcribed Image Text:SPEHRICAL OBECT 1 MASS (kg) 0.00271 SPEHRICAL OBECT 2 MASS (kg) 0.025 SPEHRICAL OBECT 3 MASS (kg) 0.134 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 back Distance Trials for 20 cm Catcher 1 Knock- Trials for 30 cm ramp Catcher 1 Knock- Configurations 10 cm ramp distance Time 1 Time 2 Time 3 Ave. ramp distance (cm) ramp distance back Distance (cm) distance back Distance (cm) 0.28 0.3 0.28 1 1.5 2 3 Calculated Acceleration 2.551 2.2222 2.551 2.4414 2 2 2.5 2 2.5 20 cm ramp distance 0.4 0.41 0.48 3 1 3 2 3 2.5 Calculated Acceleration 2.5 2.3795 1.7361 2.2052 Ave. 1.17 Ave. 2.17 Ave. 2.67 30 cm ramp distance 0.5 0.51 0.45 Calculated Acceleration 2.4 2.3068 2.96296 2.55659 Trials for 10 cm back Distance Trials for 20 cm Catcher 2 Knock- Trials for 30 cm ramp Catcher 2 Knock- ramp distance (cm) ramp distance back Distance (cm) distance back Distance (cm) orce calculation 10 cm ramp distand 0.006616 orce calculation 20 cm ramp distand 0.005976 orce calculation 30 cm ramp distand 0.006928 1 0.5 1.5 2 2 1 2 1.5 3 3 0.8 3 1.5 Ave Ave. 0.77 Ave. 1.5 SET-UP 3 & 4 (2 OTHER SPHERICAL OBJECTS WITH CATCHER 1 AT 10 CM) SHPERICAL SHPERICAL OBJECT OBJECT NO. NO. 3 Trials for 10 cm back Distance Trials for 10 cm Catcher 1 Knock- ramp distance (cm) ramp distance back Distance (cm) 3.3 3 2 4 2 3.5 4.3 3 4.5 Ave. 3.87 Ave. 3.67
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