Practice - Propagating Uncertainties in Calculations
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Practice Questions
Test your understanding with targeted questions
If a length is measured as 25.0 ± 0.5 cm and another length is 10.0 ± 0.2 cm, what is the total length when added together?
💡 Hint: Remember to add the absolute uncertainties.
You measured a mass as 75.0 ± 0.3 g and another mass as 30.0 ± 0.2 g. What is the uncertainty in their sum?
💡 Hint: Add the uncertainties.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What should you do with absolute uncertainties when adding two measurements?
💡 Hint: Think about combining two uncertainty ranges.
If you have two mass measurements, 50 g ± 2 g and 30 g ± 1 g, what is the uncertainty of their sum?
💡 Hint: Break down the addition step-by-step.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
You need to find the work done, using the formula W = F × d, where F = 200.0 ± 1.0 N and d = 50.0 ± 0.5 m. Calculate the work done and the uncertainty.
💡 Hint: Break down each measurement's uncertainty into percentage form before multiplying.
A car's speed is calculated from the formula v = d/t. If d = 120.0 ± 0.5 m and t = 3.0 ± 0.1 s, find the speed and uncertainty.
💡 Hint: Remember to calculate the percentage uncertainty for both measurements before finding the overall uncertainty.
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