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The acceleration g due to gravity is estimated by dropping
Chapter 3, Problem 13E(choose chapter or problem)
The acceleration g due to gravity is estimated by dropping an object and measuring the time it takes to travel a certain distance. Assume the distance s is known to be exactly 2.2 m. The time is measured to be \(t=0.67 \pm 0.02\) s. Estimate g, and find the relative uncertainty in the estimate. (Note that \(g=2s/t^2\).)
Equation Transcription:
Text Transcription:
t=0.67{+/-}0.02
g=2s/t^2
Questions & Answers
QUESTION:
The acceleration g due to gravity is estimated by dropping an object and measuring the time it takes to travel a certain distance. Assume the distance s is known to be exactly 2.2 m. The time is measured to be \(t=0.67 \pm 0.02\) s. Estimate g, and find the relative uncertainty in the estimate. (Note that \(g=2s/t^2\).)
Equation Transcription:
Text Transcription:
t=0.67{+/-}0.02
g=2s/t^2
ANSWER:
Answer:
Step 1 of 3:
Given the acceleration g due to gravity is estimated by dropping an object and measuring the time it takes to travel a certain distance.
Given the values are,
The distance is s = 2.2 m
Time t = .
Here we know that …..(1)