Find the value of the magnitude of the marble's velocity U=1/ f and its uncertainty. O (1.02 E0.02) m/s O (4.02 0.04) m/s (1.040.1m/a (1.2402) m/a

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter39: Relativity
Section: Chapter Questions
Problem 79PQ
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Find the value of the magnitude of the marble's velocity
+o and its uncertainty.
O (1.02 E0.02) m/s
0(4.02 0.04) m/s
(1.0±0.1) m/s
(1.240.2) m/a
Transcribed Image Text:Find the value of the magnitude of the marble's velocity +o and its uncertainty. O (1.02 E0.02) m/s 0(4.02 0.04) m/s (1.0±0.1) m/s (1.240.2) m/a
Your video analysis of the motion of a marble gives it position in
frame 23 as
(x23 , Y23) = (0.134 m, 0.120 m)
and its position in frame 24 as
(24 , Y24) = (0.102 m, 0.112 m).
You estimate that you can measure the r and y positions with
uncertainty ±0.003 m. The frame rate of the video is 30
frames/s, which means the time interval between frames is
At = 0.033333 s. The uncertainty of the frame rate of a video
camera is VERY small. For the sake of this problem, use
8(At) = 1 x 10 s. The mass of the marble is
(2.031 0.001) x 10 2 kg.
Transcribed Image Text:Your video analysis of the motion of a marble gives it position in frame 23 as (x23 , Y23) = (0.134 m, 0.120 m) and its position in frame 24 as (24 , Y24) = (0.102 m, 0.112 m). You estimate that you can measure the r and y positions with uncertainty ±0.003 m. The frame rate of the video is 30 frames/s, which means the time interval between frames is At = 0.033333 s. The uncertainty of the frame rate of a video camera is VERY small. For the sake of this problem, use 8(At) = 1 x 10 s. The mass of the marble is (2.031 0.001) x 10 2 kg.
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