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A length is measured as 15.0 m with an uncertainty of ±0.3 m. What is the total
A length is measured as 15.0 m with an uncertainty of ±0.3 m. What is the total length if two such lengths are added?
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Practice Questions
1 question
Q1
A length is measured as 15.0 m with an uncertainty of ±0.3 m. What is the total length if two such lengths are added?
29.4 m
30.0 m
30.6 m
31.0 m
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Total length = 15.0 + 15.0 = 30.0 m; Total uncertainty = ±0.3 + ±0.3 = ±0.6 m.
Questions & Step-by-step Solutions
1 item
Q
Q: A length is measured as 15.0 m with an uncertainty of ±0.3 m. What is the total length if two such lengths are added?
Solution:
Total length = 15.0 + 15.0 = 30.0 m; Total uncertainty = ±0.3 + ±0.3 = ±0.6 m.
Steps: 7
Show Steps
Step 1: Identify the length of one measurement, which is 15.0 m.
Step 2: Identify the uncertainty of one measurement, which is ±0.3 m.
Step 3: To find the total length when adding two measurements, add the lengths together: 15.0 m + 15.0 m.
Step 4: Calculate the total length: 15.0 + 15.0 = 30.0 m.
Step 5: To find the total uncertainty when adding two measurements, add the uncertainties together: ±0.3 m + ±0.3 m.
Step 6: Calculate the total uncertainty: ±0.3 + ±0.3 = ±0.6 m.
Step 7: Combine the total length and total uncertainty: The total length is 30.0 m with an uncertainty of ±0.6 m.
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