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Refer to Exercise 7. Estimate F, and find the relative
Chapter 3, Problem 17E(choose chapter or problem)
Refer to Exercise 7 . Estimate , and find the relative uncertainty in the estimate, assuming that \(g=9.80 \mathrm{~m} / \mathrm{s}^{2}\) exactly and that
a. \(d=0.20 \mathrm{~m}\) and \(l=35.0 \mathrm{~m}\), both with negligible uncertainty, and \(h=4.51 \pm 0.03 \mathrm{~m}\).
b. \(h=4.51 \mathrm{~m}\) and \(l=35.0 \mathrm{~m}\), both with negligible uncertainty, and \(d=0.20 \pm 0.008 \mathrm{~m}\).
c. \(d=0.20 \mathrm{~m}\) and \(h=4.51 \mathrm{~m}\), both with negligible uncertainty, and \(l=35.00 \pm 0.4 \mathrm{~m}\).
Equation Transcription:
Text Transcription:
g=9.80 m/s^2
d=0.20 m
l=35.0 m
h=4.51{+/-}0.03 m
h=4.51 m
l=35.0 m
d=0.20{+/-}0.008 m
d=0.20 m
h=4.51 m
l=35.00{+/-}0.4 m
Questions & Answers
QUESTION:
Refer to Exercise 7 . Estimate , and find the relative uncertainty in the estimate, assuming that \(g=9.80 \mathrm{~m} / \mathrm{s}^{2}\) exactly and that
a. \(d=0.20 \mathrm{~m}\) and \(l=35.0 \mathrm{~m}\), both with negligible uncertainty, and \(h=4.51 \pm 0.03 \mathrm{~m}\).
b. \(h=4.51 \mathrm{~m}\) and \(l=35.0 \mathrm{~m}\), both with negligible uncertainty, and \(d=0.20 \pm 0.008 \mathrm{~m}\).
c. \(d=0.20 \mathrm{~m}\) and \(h=4.51 \mathrm{~m}\), both with negligible uncertainty, and \(l=35.00 \pm 0.4 \mathrm{~m}\).
Equation Transcription:
Text Transcription:
g=9.80 m/s^2
d=0.20 m
l=35.0 m
h=4.51{+/-}0.03 m
h=4.51 m
l=35.0 m
d=0.20{+/-}0.008 m
d=0.20 m
h=4.51 m
l=35.00{+/-}0.4 m
ANSWER:
Solution:Step 1 of 3:Given the friction of velocity We know that Our goal is:a). We need find d=0.20 m and l=35.0 m, both with negligible uncertainty and .b). We need find h=4.51 m and l=35.0, both with negligible uncertainty, and .c). We need to find d=0.20m and h=4.51 m, both with negligible uncertainty, and .a).Now we need to estimate the value of F.Given d=0.20 m and l=35.0 m, both with negligible uncertainty and .Here Then the estimate the value of F is Therefore the estimate the value of F is 0.2512.Then we can compute the uncertainty in F.Here andThen,Then we are differentiating with respect to h.We know that h value.Then we have to find . We know that is 0.03.So .Therefore, . ________________