From the data how would you relate the acceleration of the cart to the total mass of the hover puck if the mass of the hanging object is constant?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter14: Special Theory Of Relativity
Section: Chapter Questions
Problem 14.33P
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From the data how would you relate the acceleration of the cart to the total mass of the hover puck if the mass of the hanging object is constant?

Part II. Newton's Law Lab with Photogates (Varying hanging mass)
Length of card (m)
Hover puck mass, mi (kg)
0.20
Experimental
Accepted
Hanging
Mass, ma
(kg)
Midtime.
1
(s)
Average
velocity 1
(m/s)
Average
velocity 2
(m/s)
Midtime
Value of
Value of
% Error
2 (s)
Acceleration
Acceleration
(m/s)
(m/s)
3.26m/s
0.10
1.481
1.7751
1.39m/s
2.38m/s
3.37m/s
3.37
0.20
3.4062
3.6482
1.72m/s
2.86m/s
4.71m/s
4.9m/s
3.88
0.30
1.6662
1.8862
1.9m/s
3.16m/s
5.72m/s
5.88m/s
2.72
0.40
2.1162
2.3242
1.97m/s
3.35m/s
6.63m/s
6.53m/s
1.53
0.50
1.2681
1.4681
2.03m/s
3.55m/s
7.6m/s
7m/s^2
8.57
Graph of acceleration vs hanging mass
a
3
1
0.10
0.20
0.30
0.40
0.50
Transcribed Image Text:Part II. Newton's Law Lab with Photogates (Varying hanging mass) Length of card (m) Hover puck mass, mi (kg) 0.20 Experimental Accepted Hanging Mass, ma (kg) Midtime. 1 (s) Average velocity 1 (m/s) Average velocity 2 (m/s) Midtime Value of Value of % Error 2 (s) Acceleration Acceleration (m/s) (m/s) 3.26m/s 0.10 1.481 1.7751 1.39m/s 2.38m/s 3.37m/s 3.37 0.20 3.4062 3.6482 1.72m/s 2.86m/s 4.71m/s 4.9m/s 3.88 0.30 1.6662 1.8862 1.9m/s 3.16m/s 5.72m/s 5.88m/s 2.72 0.40 2.1162 2.3242 1.97m/s 3.35m/s 6.63m/s 6.53m/s 1.53 0.50 1.2681 1.4681 2.03m/s 3.55m/s 7.6m/s 7m/s^2 8.57 Graph of acceleration vs hanging mass a 3 1 0.10 0.20 0.30 0.40 0.50
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