Calculating standard deviation for average force

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SUMMARY

The discussion focuses on calculating the standard deviation for average force using error propagation techniques. The user initially applied the multiplication error propagation formula incorrectly, leading to an erroneous result of 131. The correct approach involves using the formula for the relative error of a quotient, specifically \(\frac{\delta(x/y)}{x/y} = \frac{\delta(x)}{x} + \frac{\delta(y)}{y}\), which yielded a more accurate deviation of approximately 0.8. A recommended online calculator for further assistance is available at EasyCalculation.

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  • Understanding of error propagation equations
  • Familiarity with impulse and average force calculations
  • Basic knowledge of standard deviation concepts
  • Ability to use online calculators for physics problems
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  • Study the principles of error propagation in physics
  • Learn how to calculate average force using impulse and time
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Students in physics courses, particularly those tackling problems involving impulse and error analysis, as well as educators seeking to clarify concepts of standard deviation and error propagation.

jb007
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Homework Statement


6.png

I am stuck on the last problem.

Homework Equations


Just the error propagation equations

The Attempt at a Solution


I initially used the multiplication error propagation formula. So the average force would be the impulse divided by the time, the same thing as the impulse times 1/time. Favg = I⋅1/t. So the deviation for force would be the absolute value of I times 1/(deviation of time)? But this is wrong, as I get 131, a number that wouldn't make sense. How do I find the deviation for Favg? I feel like I might have to use some of my other data...
 
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