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A body travels uniformly a distance of (13.8 plus minus 0.2)m in a time (4.0plus minus 0.3) s. Find the velocity of the body within error limits and the percentage error.?
Most Upvoted Answer
A body travels uniformly a distance of (13.8 plus minus 0.2)m in a tim...
Given:
Distance (d) = 13.8 ± 0.2 m
Time (t) = 4.0 ± 0.3 s
To find:
Velocity (v) within error limits
Percentage error
Solution:
We know that,
Velocity (v) = Distance (d) / Time (t)
So, substituting the given values,
v = 13.8 / 4.0
v = 3.45 m/s
Finding Error Limits:
To find the error limits, we use the formula:
Error in v = |v| x (Error in d / d + Error in t / t)
Error in v = 3.45 x (0.2/13.8 + 0.3/4.0)
Error in v = 0.69 m/s
Therefore, the velocity of the body within error limits is:
v = 3.45 ± 0.69 m/s
Percentage Error:
Percentage error = (Error in v / v) x 100%
Percentage error = (0.69 / 3.45) x 100%
Percentage error = 20%
Answer:
The velocity of the body within error limits is 3.45 ± 0.69 m/s and the percentage error is 20%.
Distance (d) = 13.8 ± 0.2 m
Time (t) = 4.0 ± 0.3 s
To find:
Velocity (v) within error limits
Percentage error
Solution:
We know that,
Velocity (v) = Distance (d) / Time (t)
So, substituting the given values,
v = 13.8 / 4.0
v = 3.45 m/s
Finding Error Limits:
To find the error limits, we use the formula:
Error in v = |v| x (Error in d / d + Error in t / t)
Error in v = 3.45 x (0.2/13.8 + 0.3/4.0)
Error in v = 0.69 m/s
Therefore, the velocity of the body within error limits is:
v = 3.45 ± 0.69 m/s
Percentage Error:
Percentage error = (Error in v / v) x 100%
Percentage error = (0.69 / 3.45) x 100%
Percentage error = 20%
Answer:
The velocity of the body within error limits is 3.45 ± 0.69 m/s and the percentage error is 20%.
Community Answer
A body travels uniformly a distance of (13.8 plus minus 0.2)m in a tim...
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A body travels uniformly a distance of (13.8 plus minus 0.2)m in a time (4.0plus minus 0.3) s. Find the velocity of the body within error limits and the percentage error.?
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A body travels uniformly a distance of (13.8 plus minus 0.2)m in a time (4.0plus minus 0.3) s. Find the velocity of the body within error limits and the percentage error.? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A body travels uniformly a distance of (13.8 plus minus 0.2)m in a time (4.0plus minus 0.3) s. Find the velocity of the body within error limits and the percentage error.? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body travels uniformly a distance of (13.8 plus minus 0.2)m in a time (4.0plus minus 0.3) s. Find the velocity of the body within error limits and the percentage error.?.
A body travels uniformly a distance of (13.8 plus minus 0.2)m in a time (4.0plus minus 0.3) s. Find the velocity of the body within error limits and the percentage error.? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A body travels uniformly a distance of (13.8 plus minus 0.2)m in a time (4.0plus minus 0.3) s. Find the velocity of the body within error limits and the percentage error.? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body travels uniformly a distance of (13.8 plus minus 0.2)m in a time (4.0plus minus 0.3) s. Find the velocity of the body within error limits and the percentage error.?.
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