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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)

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)

Elements Of Electromagnetics
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
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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) 0.0022 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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