Question 6 Find value of the a-component of the marble's velocity - and its uncertainty. At O (4.02 E 0.01) m/s o(-0.960 + 0.127) m/s O (-0.402 ± 0.004) m/s 0(-0.960 + 0.004) m/s O( 1.0+0.1) m/s

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter39: Relativity
Section: Chapter Questions
Problem 39.1P: The truck in Figure P39.1 is moving at a speed of 10.0 m/s relative to the ground. The person on the...
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Question 6
Find value of the x-component of the marble's velocity
-
and its uncertainty.
At
O (4.02 E 0.01) m/s
o (-0.960 + 0.127) m/s
0 (-0.402 ± 0.004) m/s
O(-0.960+ 0.004) m/s
0(-1.0+0.1) m/s
Transcribed Image Text:Question 6 Find value of the x-component of the marble's velocity - and its uncertainty. At O (4.02 E 0.01) m/s o (-0.960 + 0.127) m/s 0 (-0.402 ± 0.004) m/s O(-0.960+ 0.004) m/s 0(-1.0+0.1) m/s
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
(x24, Y24) = (0.102 m, 0.112 m).
You estimate that you can measure the x 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) × 10 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 (x24, Y24) = (0.102 m, 0.112 m). You estimate that you can measure the x 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) × 10 kg.
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